Laminated composite shells are increasingly being used in various engineering applications including aerospace, mechanical, marine, and automotive engineering. With the increasing awareness of and sensitivity to structural noise and vibration, research covering the dynamic behavior of composite shells has received considerable attention. The purpose of this article is to review most of the recent research done in this field. Review of the literature on the dynamic behavior of homogeneous shells is covered in Part 2 of this article to be published in the September 2002 issue of AMR. Research on shell dynamics is found to be mainly free vibration analyses. The review is conducted with emphasis given to the theory being applied (thin, thick, 3D, nonlinear, …), the analysis method (exact, Ritz, finite elements, …), complicating effects (initial stress, imperfection, added masses and springs, elastic supports, rotating shells, and others), and the various shell geometries that were subject to vibration research (cylindrical, conical, spherical, and others). There are 374 references cited in this review article.
Issue Section:
Review Articles
1.
Leissa AW (1973), Vibration of Shells. NASA SP288, US Government Printing Office, Washington DC, Republished 1993, Acoustical Society of America.
2.
Qatu MS (2002), Recent research advances in the dynamic behavior of shells 1989–2000 Part 2: Homogeneous shells, Appl. Mech. Rev. 55(9) (accepted for publication).
3.
Gdoutos
EE
(1996
), Fourth Greek Congress on Mechanics
, Appl. Composite. Mat.
3
(5
), 267
–353
.4.
Liebowitz
H
and Doltsinis
I
(1992
), WCCM II: Second World Congress of Computational Mechanics
, Comput. Struct.
44
(1-2
), 1
–497
.5.
Topping
BHV
, Khan
AI
, and Pavlovic
MN
(1992
), Computational structures technology
, Comput. Struct.
44
(4
), 699
–936
.6.
Kapania
PK
(1989
), Review on the analysis of laminated shells
, ASME J. Pressure Vessel Technol.
111
(2
), 88
–96
.7.
Qatu
MS
(1992
), Review of shallow shell vibration research
, Shock Vib. Dig.
24
(9
), 3
–15
.8.
Noor
AK
and Burton
WS
(1990
), Assessment of computational models for multilayered composite shells
, Appl. Mech. Rev.
43
(4
), 67
–97
.9.
Noor
AK
and Burton
WS
(1992
), Computational models for high-temperature multilayered composite plates and shells
, Appl. Mech. Rev.
45
(10
), 419
–446
.10.
Noor
AK
, Burton
WS
, and Peters
JM
(1991
), Assessment of computational models for multilayered composite cylinders
, Int. J. Solids Struct.
27
(10
), 1269
–1286
.11.
Liew
KM
, Lim
CW
, and Kitipornchai
S
(1997
), Vibration of shallow shells: A review with bibliography
, Appl. Mech. Rev.
50
(8
), 431
–444
.12.
Soldatos
KP
(1999
), Mechanics of cylindrical shells with non-circular cross-section
, Appl. Mech. Rev.
52
(8
), 237
–274
.13.
Noor
AK
, Burton
WS
, and Bert
CW
(1996
), Computational models for sandwich panels and shells
, Appl. Mech. Rev.
49
(3
), 155
–200
.14.
Noor AK and Venneri SL (1992), High-performance computing for flight vehicles, Comput. Syst. Eng., 3(1-4).
15.
Leissa
AW
and Chang
J
(1996
), Elastic deformation of thick, laminated composite shallow shells
, Compos. Struct.
35
, 153
–170
.16.
Bhimaraddi
A
(1991
), Free vibration analysis of doubly curved shallow shells on rectangular planform using 3-D elasticity theory
, Int. J. Solids Struct.
27
(7
), 897
–913
.17.
Wang
Z
, Zhu
D
, and Tang
L
(1995
), Semi-analytical solution for free vibration of laminated composite cylindrical panels (Chinese
), J. Vib. Eng.
8
(2
), 91
–98
.18.
Jiang
X
(1997
), Three-dimensional vibration analysis of fiber reinforced composite laminated cylindrical shells
, J. Vibr. Acoust.
119
(1
), 46
–51
.19.
Tsai
YM
(1991
), Longitudinal motion of a thick transversely isotropic hollow cylinder
, ASME J. Pressure Vessel Technol.
113
(4
), 585
–589
.20.
Xu
K
, Noor
AK
, and Burton
WS
(1997
), 3D solutions for free vibration of initially stressed thermoelectroelastic multilayered cylinders
, J. Eng. Mech.
123
(1
), 45
–51
.21.
Ye
J
and Soldatos
KP
(1996
), Three-dimensional vibration of laminated composite plates and cylindrical panels with arbitrarily located lateral surfaces point supports
, Int. J. Mech. Sci.
38
(3
), 271
–281
.22.
Ye
JQ
and Soldatos
KP
(1997
), Three-dimensional vibrations of cross-ply laminated hollow cylinders with clamped edge boundaries
, J. Vibr. Acoust.
119
(3
), 317
–323
.23.
Chen
CQ
and Shen
YP
(1998
), Three-dimensional analysis for the free vibration of finite-length orthotropic piezoelectric circular cylindrical shells
, J. Vibr. Acoust.
120
(1
), 194
–198
.24.
Chen
W
, Cai
J
, Ye
G
, and Ding
H
(1998
), Three-dimensional exact free vibration of transversely isotropic cylindrical panels
, J. Vibr. Acoust.
120
(4
), 982
–986
.25.
Ding
K
and Tang
L
(1999
), Three-dimensional free vibration of thick laminated cylindrical shells with clamped edges
, J. Sound Vib.
220
(1
), 171
–177
.26.
Yin
X
(1999
), Simplification of frequency equation of multilayered cylinders and some recursion formulae of Bessel functions
, Appl. Math. Mech.
20
(3
), 332
–337
.27.
Chern
YC
and Chao
CC
(2000
), Comparison of natural frequencies of laminates by 3D theory—Part II: Curved panels
, J. Sound Vib.
230
(5
), 1009
–1030
.28.
Soldatos
KP
(1994
), Review of three dimensional dynamic analyses of circular cylinders and cylindrical shells
, Appl. Mech. Rev.
47
(10
), 501
–516
.29.
Librescu
L
, Khdeir
AA
, and Frederick
D
(1989
), Shear deformable theory of laminated composite shallow shell-type panels and their response analysis—I: Free vibration and buckling
, Acta Mech.
76
(1-2
), 1
–33
.30.
Qatu
MS
(1999
), Accurate theory for laminated composite deep thick shells
, Int. J. Solids Struct.
36
(19
), 2917
–2941
.31.
Kabir
HRH
(1998
), Free vibration response of shear deformable antisymmetric cross-ply cylindrical panel
, J. Sound Vib.
217
(4
), 601
–618
.32.
Kabir
HRH
and Chaudhuri
RA
(1991
), Free vibration of shear-flexible anti-symmetric angle-ply doubly curved panels
, Int. J. Solids Struct.
28
(1
), 17
–32
.33.
Kabir
HRH
and Chaudhuri
RA
(1994
), Gibbs-phenomenon-free Fourier solution for finite shear-flexible laminated clamped curved panels
, Int. J. Eng. Sci.
32
(3
), 501
–520
.34.
Nosier
A
and Reddy
JN
(1992
), Vibration and stability analyses of cross-ply laminated circular cylindrical shells
, J. Sound Vib.
157
(1
), 139
–159
.35.
Piskunov
VG
, Verijenko
VE
, Adali
S
, and Tabakov
PY
(1994
), Transverse shear and normal deformation higher-order theory for the solution of dynamic problems of laminated plates and shells
, Int. J. Solids Struct.
31
(24
), 3345
–3374
.36.
Piskunov
VG
, Fedorenko
YM
, and Didychenko
IM
(1995
), Dynamics of the non-elastic laminated composite shells. (Russian
), Mech. Compos. Mater.
T31
(1
), 72
–80
.37.
Soldatos
KP
(1991
), Refined laminated plate and shell theory with applications
, J. Sound Vib.
144
(1
), 109
–129
.38.
Wang
J
and Schweizerhof
K
(1996
), Study on free vibration of moderately thick orthotropic laminated shallow shells by boundary-domain elements
, Appl. Math. Model.
20
(8
), 579
–584
.39.
Wang
J
and Schweizerhof
K
(1996
), Boundary-domain element method for free vibration of moderately thick laminated orthotropic shallow shells
, Int. J. Solids Struct.
33
(1
), 11
–18
.40.
Wang
J
and Schweizerhof
K
(1997
), Free vibration of laminated anisotropic shallow shells including transverse shear deformation by the boundary-domain element method
, Comput. Struct.
62
(1
), 151
–156
.41.
Khatri
KN
(1995
), Vibrations of arbitrarily laminated fiber reinforced composite material truncated conical shell
, J. Reinf. Plast. Compos.
14
(9
), 923
–948
.42.
Sivadas
KR
(1995
), Vibration analysis of pre-stressed rotating thick circular conical shell
, J. Sound Vib.
186
(1
), 99
–110
.43.
Sivadas
KR
(1995
), Vibration analysis of pre-stressed thick circular conical composite shells
, J. Sound Vib.
186
(1
), 87
–97
.44.
Sharma
CB
, Darviseh
M
, and Darvizeh
A
(1999
), Free vibration behavior of helically wound cylindrical shells
, Compos. Struct.
44
(1
), 55
–62
.45.
Xi
ZC
, Yam
LH
, and Leung
TP
(1996
), Semi-analytical study of free vibration of composite shells of revolution based on the Reissner-Mindlin assumption
, Int. J. Solids Struct.
33
(6
), 851
–863
.46.
Argyris
J
and Tenek
L
(1996
), Natural mode method: A practicable and novel approach to the global analysis of laminated composite plates and shells
, Appl. Mech. Rev.
49
(7
), 381
–399
.47.
Chonan
S
(1988
), Low frequency soundproof characteristics of orthotropic two-layered cylindrical shells
, J. Sound Vib.
126
(3
), 407
–415
.48.
Ding
K
, Tang
L
, and Fan
J
(1997
), Exact analysis for axisymmetric vibration and buckling of the thick laminated closed cylindrical shells in a Hamilton system
, J. Sound Vib.
206
(3
), 435
–441
.49.
Toorani
MH
and La˙kis
AA
(2000
), General equations of anisotropic plates and shells including transverse shear deformations, rotary inertia and initial curvature effects
, J. Sound Vib.
237
(4
), 561
–615
.50.
Qatu MS (1995), Accurate stress resultant equations for laminated composite deep, thick shells, Composites for the Pressure Vessel Industry, ASME-PVP, 302, 39–46.
51.
Mizusawa
T
(1996
), Vibration of thick laminated cylindrical panels by the spline strip method
, Comput. Struct.
61
(3
), 441
–457
.52.
Ma
BA
and He
JF
(1998
), Vibration analysis of laminated shells using a refined shear deformation theory
, J. Reinf. Plast. Compos.
17
(16
), 1431
–1449
.53.
Messina
A
and Soldatos
KP
(1999
), Vibration of completely free composite plates and cylindrical shell panels by a higher-order theory
, Int. J. Mech. Sci.
41
(8
), 891
–918
.54.
Timarci
T
and Soldatos
KP
(1995
), Comparative dynamic studies for symmetric cross-ply circular cylindrical shells on the basis of a unified shear deformable shell theory
, J. Sound Vib.
187
(4
), 609
–624
.55.
Birlik
GA
and Mengi
Y
(1989
), Refined dynamic theory for viscoelastic cylindrical shells and cylindrical laminated composites—Part 2: Application
, J. Sound Vib.
130
(1
), 69
–77
.56.
Sivadas
KR
and Ganesan
N
(1991
), Asymmetric vibration analysis of thick composite circular cylindrical shells with variable thickness
, Comput. Struct.
38
(5-6
), 627
–635
.57.
Sivadas
KR
and Ganesan
N
(1993
), Effect of coupling between in-plane strains and twist due to anisotropy on vibration of composite shells
, Comput. Struct.
49
(3
), 481
–493
.58.
Kolesnikov
SV
(1996
), Refined theory of the vibrations of a cylindrical shell based on an expansion in series of the normal displacement
, J. Appl. Math. Mech.
60
(1
), 113
–119
.59.
Sun
G
, Bennet
PN
, and Williams
FW
(1997
), Investigation on fundamental frequencies of laminated circular cylinders given by shear deformable FEs
, J. Sound Vib.
205
(3
), 265
–273
.60.
Zenkour
AM
(1998
), Vibration of axisymmetric shear deformable cross-ply laminated cylindrical shells: A variational approach
, Int. J. Eng. Sci.
36
(3
), 219
–231
.61.
Soldatos
KP
and Messina
A
(1998
), Vibration studies of cross-ply laminated shear deformable circular cylinders on the basis of orthogonal polynomials
, J. Sound Vib.
218
(2
), 219
–243
.62.
Chao
CC
and Chern
YC
(1988
), Axisymmetric free vibration of orthotropic complete spherical shells
, J. Compos. Mater.
22
(12
), 1116
–1130
.63.
Dasgupta
A
and Huang
KH
(1997
), Layer-wise analysis for free vibrations of thick composite spherical panels
, J. Compos. Mater.
31
(7
), 658
–671
.64.
Gautham
BP
and Ganesan
N
(1994
), Free vibration analysis of orthotropic thick shells of revolution using discrete layer theory
, J. Sound Vib.
171
(4
), 549
–556
.65.
Lu
CH
, Mao
R
, and Winfield
DC
(1996
), Free vibration of thick-walled laminated conical tubes
, Comput. Struct.
59
(3
), 397
–405
.66.
Ramesh
TC
and Ganesan
N
(1993
), Finite element based on a discrete layer theory for the free vibration analysis of conical shells
, J. Sound Vib.
166
(3
), 531
–538
.67.
Sivadas
KR
and Ganesan
N
(1992
), Vibration analysis of thick composite clamped conical shells of varying thickness
, J. Sound Vib.
152
(1
), 27
–37
.68.
Yong
YK
and Cho
Y
(1995
), Higher-order, partial hybrid stress, FE formulation for laminated plate and shell analyses
, Comput. Struct.
57
(5
), 817
–827
.69.
Carrera
E
(1999
), Reissner’s mixed variational theorem applied to vibration analysis of multilayered shells
, ASME J. Appl. Mech.
66
(1
), 69
–78
.70.
Carrera
E
(1999
), Study of transverse normal stress effect on vibration of multilayered plates and shells
, J. Sound Vib.
225
(5
), 803
–829
.71.
Sivadas
KR
and Ganesan
N
(1992
), Vibration analysis of orthotropic cantilever cylindrical shells with axial thickness variation
, Compos. Struct.
22
(4
), 207
–215
.72.
Ip
KH
, Chan
WK
, Tse
PC
, and Lai
TC
(1996
), Vibration analysis of orthotropic thin cylindrical shells with free ends by the Rayleigh-Ritz method
, J. Sound Vib.
195
(1
), 117
–135
.73.
Shu
C
(1996
), Free vibration analysis of composite laminated conical shells by generalized differential quadrature
, J. Sound Vib.
194
(4
), 587
–604
.74.
Lam
KY
and Loy
CT
(1995
), Influence of boundary conditions and fiber orientation on the natural frequencies of thin orthotropic laminated cylindrical shells
, Compos. Struct.
31
(1
), 21
–30
.75.
Selmane
A
and Lakis
AA
(1997
), Dynamic analysis of anisotropic open cylindrical shells
, Comput. Struct.
62
(1
), 1
–12
.76.
Selmane
A
and Lakis
AA
(1997
), Vibration analysis of anisotropic open cylindrical shells subjected to a flowing fluid
, J. Fluids Struct.
11
(1
), 111
–134
.77.
Selmane
A
and Lakis
AA
(1997
), Influence of geometric nonlinearities on the free vibrations of orthotropic open cylindrical shells
, Int. J. Numer. Methods Eng.
40
(6
), 1115
–1137
.78.
Selmane
A
and Lakis
AA
(1997
), Nonlinear dynamic analysis of orthotropic open cylindrical shells subjected to a flowing fluid
, J. Sound Vib.
202
(1
), 67
–93
.79.
Mohd
S
and Dawe
DJ
(1993
), Finite strip vibration analysis of composite prismatic shell structures with diaphragm ends
, Comput. Struct.
49
(5
), 753
–765
.80.
Mohd
S
and Dawe
DJ
(1993
), Buckling and vibration of thin laminated composite, prismatic shell structures
, Compos. Struct.
25
(1-4
), 353
–362
.81.
Bhattacharyya
SK
and Vendhan
CP
(1991
), Wave propagation in semi-infinite plane anisotropic thin circular shells
, J. Sound Vib.
149
(1
), 71
–82
.82.
Narita
Y
, Ohta
Y
, and Saito
M
(1993
), FE study for natural frequencies of cross-ply laminated cylindrical shells
, Compos. Struct.
26
(1-2
), 55
–62
.83.
Sivadas
KR
and Ganesan
N
(1991
), Vibration analysis of laminated conical shells with variable thickness
, J. Sound Vib.
148
(3
), 477
–491
.84.
Loy
CT
, Lam
KY
, Hua
L
, and Liu
GR
(1999
), Vibration of antisymmetric angle-ply laminated cylindrical panels with different boundary conditions
, Q. J. Mech. Appl. Math.
51
(1
), 55
–71
.85.
Qatu
MS
(1999
), Theory and vibration analysis of laminated barrel thin shells
, J. Vib. Control
5
, 851
–889
.86.
Huang
KH
and Dasgupta
A
(1995
), Layer-wise analysis for free vibration of thick composite cylindrical shells
, J. Sound Vib.
186
(2
), 207
–222
.87.
Xavier
PB
, Chew
CH
, and Lee
KH
(1995
), Buckling and vibration of multilayer orthotropic composite shells using a simple higher-order layerwise theory
, Int. J. Solids Struct.
32
(23
), 3479
–3497
.88.
Basar
Y
and Omurtag
MH
(2000
), Free-vibration analysis of thin-thick laminated structures by layer-wise shell models
, Comput. Struct.
74
(4
), 409
–427
.89.
Pai
PF
and Nayfeh
AH
(1992
), Nonlinear composite shell theory
, Nonlinear Dyn.
3
(6
), 431
–463
.90.
Pai
PF
and Nayfeh
AH
(1994
), Unified nonlinear formulation for plate and shell theories
, Nonlinear Dyn.
6
(4
), 459
–500
.91.
Klosowski
P
, Woznica
K
, and Weichert
D
(1995
), Comparative study of vibrations of elasto-viscoplastic shells and plates
, Acta Geophys. Polonica
43
(1-2
), 183
–204
.92.
Li
L
(1996
), Bending instability of composite tubes
, J. Aerosp. Eng.
9
(2
), 58
–61
.93.
Ganapathi
M
and Varadan
TK
(1996
), Large amplitude vibrations of circular cylindrical shells
, J. Sound Vib.
192
(1
), 1
–14
.94.
Raouf
RA
and Palazotto
AN
(1994
), Nonlinear free vibrations of curved orthotropic panels
, Int. J. Non-Linear Mech.
29
(4
), 507
–514
.95.
Li
D
(1993
), Time-mode approach to nonlinear vibrations of orthotropic thin shallow spherical shells
, Int. J. Solids Struct.
30
(22
), 3113
–3128
.96.
Xu
CS
and Chia
CY
(1994
), Nonlinear analysis of unsymmetrically laminated moderately thick shallow spherical shells
, Int. J. Non-Linear Mech.
29
(2
), 247
–259
.97.
Heuer
R
(1994
), Large flexural vibrations of thermally stressed layered shallow shells
, Nonlinear Dyn.
5
(1
), 25
–38
.98.
Shin
DK
(1997
), Large amplitude free vibration behavior of doubly curved shallow open shells with simply-supported edges
, Comput. Struct.
62
(1
), 35
–49
.99.
Li
D
(1992
), Nonlinear vibrations of orthotropic shallow shells of revolution
, Appl. Math. Mech.
13
(4
), 331
–344
.100.
Xi
ZC
, Yam
LH
, and Leung
TP
(1999
), Free vibration of a laminated composite shell of revolution: Effects of shear nonlinearity
, Int. J. Mech. Sci.
41
(6
), 649
–661
.101.
Reddy
JN
(1989
), Refined computational models of composite laminates
, Int. J. Numer. Methods Eng.
27
(2
), 361
–382
.102.
Qatu
MS
(1994
), On the validity of nonlinear shear deformation theories for laminated composite plates and shells
, Compos. Struct.
27
, 395
–401
.103.
Tsai
CT
and Palazotto
AN
(1991
), Finite element analysis of non-linear vibration for cylindrical shells with high-order shear deformation theory
, Int. J. Non-Linear Mech.
26
(3-4
), 379
–388
.104.
Noor
AK
, Peters
JM
, and Andersen
CM
(1993
), Reduced basis technique for nonlinear vibration analysis of composite panels
, Comput. Methods Appl. Mech. Eng.
103
(1-2
), 175
–186
.105.
Noor
AK
, Hadian
MJ
, and Peters
JM
(1994
), Reduced basis technique for evaluating the sensitivity of the nonlinear vibrational response of composite plates
, Comput. Struct.
52
(6
), 1097
–1105
.106.
Wang
Y
, Wang
X
, and Song
H
(1997
), Nonlinear free vibration of orthotropic shallow shells of revolution under the static load
, Appl. Math. Mech.
18
(6
), 585
–591
.107.
Xu
CS
, Xia
ZQ
, and Chia
CY
(1996
), Nonlinear theory and vibration analysis of laminated truncated, thick, conical shells
, Int. J. Non-Linear Mech.
31
(2
), 139
–154
.108.
Xu
CS
and Chia
CY
(1995
), Nonlinear vibration and buckling analysis of laminated shallow spherical shells with holes
, Compos. Sci. Technol.
54
(1
), 67
–74
.109.
Sathyamoorthy
M
(1995
), Nonlinear vibrations of moderately thick orthotropic shallow spherical shells
, Comput. Struct.
57
(1
), 59
–65
.110.
Tang
W
and Chen
T
(1998
), Nonlinear dynamic response analysis of laminated composite cylindrical panels (Chinese
), J. Shanghai Jiaotong Univ.
32
(7
), 128
–131
.111.
Fu
YM
and Chia
CY
(1989
), Multi-mode nonlinear vibration and postbuckling of antisymmetric imperfect angle-ply cylindrical thick panels
, Int. J. Non-Linear Mech.
24
(5
), 365
–381
.112.
Fu
YM
and Chia
CY
(1989
), Nonlinear analysis of unsymmetrically laminated imperfect thick panels on elastic foundation
, Compos. Struct.
13
(4
), 289
–314
.113.
Fu
YM
and Chia
CY
(1993
), Nonlinear vibration and postbuckling of generally laminated circular cylindrical thick shells with non-uniform boundary conditions
, Int. J. Non-Linear Mech.
28
(3
), 313
–327
.114.
Ganapathi
M
and Varadan
TK
(1995
), Nonlinear free flexural vibrations of laminated circular cylindrical shells
, Compos. Struct.
30
(1
), 33
–49
.115.
Soldatos
KP
(1992
), Nonlinear analysis of transverse shear deformable laminated composite cylindrical shells. Part I. Derivation of governing equations
, ASME J. Pressure Vessel Technol.
114
(1
), 105
–109
.116.
Cederbaum
G
(1992
), Analysis of parametrically excited laminated shells
, Int. J. Mech. Sci.
34
(3
), 241
–250
.117.
Iu
VP
and Chia
CY
(1988
), Effect of transverse shear on nonlinear vibration and postbuckling of anti-symmetric cross-ply imperfect cylindrical shells
, Int. J. Mech. Sci.
30
(10
), 705
–718
.118.
Lakis
AA
, Selmane
A
, and Toledano
A
(1998
), Nonlinear free vibration of laminated orthotropic cylindrical shells
, Int. J. Mech. Sci.
40
(1
), 27
–94
.119.
Roussos
N
and Mason
DP
(1998
), Nonlinear radial oscilations of a thin-walled double-layer hyperelastic cylindrical tube
, Int. J. Non-Linear Mech.
33
(3
), 507
–530
.120.
Gummadi
NB
and Palazotto
AN
(1999
), Nonlinear dynamic FE analysis of composite cylindrical shells considering large rotations
, AIAA J.
37
(11
), 1489
–1494
.121.
Zarutski
VA
(1998
), Approximate nonlinear equations of motion of cylindrical shells from the composition materials (Russian
), Prikl. Mekh.
34
(10
), 55
–59
.122.
Abe
A
, Kobayashi
Y
, and Yamada
G
(2000
), Nonlinear vibration characteristics of clamped laminated shallow shells
, J. Sound Vib.
234
(3
), 405
–426
.123.
Cho
C
, Zhao
G
, and Kim
CB
(2000
), Nonlinear FE analysis of composite shell under impact
, KSME Int. J. Eng.
14
(6
), 666
–674
.124.
Nayfeh
JF
and Rivieccio
NJ
(2000
), Nonlinear vibration of composite shell subjected to resonant excitations
, J. Aerosp. Eng.
13
(2
), 59
–68
.125.
Soedel W (1993), Vibrations of Shells and Plates, 2nd Edition, Marcel Dekker.
126.
Rezaeepazhand
J
, Simitses
GJ
, and Starnes
Jr, JH
(1996
), Design of scaled down models for predicting shell vibration response
, J. Sound Vib.
195
(2
), 301
–311
.127.
Christoforou
AP
and Swanson
SR
(1990
), Analysis of simply-supported orthotropic cylindrical shells subject to lateral impact loads
, ASME J. Appl. Mech.
57
(2
), 376
–382
.128.
Lakshminarayana
HV
and Dwarakanath
K
(1992
), Free vibration characteristics of cylindrical shells made of composite material
, J. Sound Vib.
154
(3
), 431
–439
.129.
Heyliger
PR
and Jilani
A
(1993
), Free vibrations of laminated anisotropic cylindrical shells
, J. Eng. Mech.
119
(5
), 1062
–1077
.130.
Chen
WQ
, Ying
J
, and Yang
QD
(1998
), Free vibrations of transversely isotropic cylinders and cylindrical shells
, ASME J. Pressure Vessel Technol.
120
(4
), 321
–324
.131.
Tighe
KV
and Palazotto
AN
(1994
), Higher order cylindrical panel relationships considering general ply layups
, Compos. Struct.
27
(3
), 225
–242
.132.
Kubala
M
and Markus
S
(1994
), Distinction of vibration eigenmodes of a cylindrical composite shell (Slovak
), Strojnicky Casopis
45
(4
), 299
–308
.133.
Sorokin
SV
(1995
), Analysis of structural-acoustic coupling problems by a two-level boundary integral equations method—Part 2: Vibrations of a cylindrical shell of finite length in an acoustic medium
, J. Sound Vib.
184
(2
), 213
–228
.134.
Birman
V
and Magid
MG
(1994
), Vibrations of generally laminated long cylindrical panels
, J. Sound Vib.
170
(2
), 276
–279
.135.
Zarutsky
VA
(1995
), Approximate equations for calculation of natural frequencies of oscillations of longitudinally supported cylindrical shells obtained using the precise theory (Russian
), Prikl. Mekh.
31
(3
), 40
–44
.136.
Bercin
AN
(1996
), Natural frequencies of cross-ply laminated singly-curved panels
, Mech. Res. Commun.
23
(2
), 165
–170
.137.
Bespalova
EI
and Kitaigorodsky
AB
(1996
), Effect of constructive anisotropy on the vibration frequencies of cylindrical shells (Russian
), Prikl. Mekh.
32
(7
), 55
–59
.138.
Hu
X
, Chen
H
, and Wauer
J
(1997
), Finite strip dynamic analysis of cylindrical shell sandwich structures
, Chinese J. Mech. Eng.
10
(2
), 141
–147
.139.
Lam
KY
, Ng
TY
, and Qian
W
(2000
), Vibration analysis of thick laminated composite cylindrical shells
, AIAA J.
38
(6
), 1102
–1107
.140.
Lee
YS
and Lee
KD
(1997
), Dynamic response of laminated circular cylindrical shells under impulse loads
, Comput. Struct.
63
(1
), 149
–157
.141.
Khdeir
AA
and Reddy
JN
(1990
), Influence of edge conditions on the modal characteristics of cross-ply laminated shells
, Comput. Struct.
34
(6
), 817
–826
.142.
Carrera
E
(1991
), Effects of shear deformation and curvature on buckling and vibrations of cross-ply laminated composite shells
, J. Sound Vib.
150
(3
), 405
–433
.143.
Chun
CK
and Dong
SB
(1992
), Shear constitutive relations for laminated anisotropic shells and plates: Part I—Methodology
, ASME J. Appl. Mech.
59
(2
-Pt 1), 372
–379
.144.
Chun
CK
and Dong
SB
(1992
), Shear constitutive relations for laminated anisotropic shells and plates: Part II-Vibrations of composite cylinders
, ASME J. Appl. Mech.
59
(2
), 380
–389
.145.
Ganapathi
M
, Varadan
TK
, and Balamurugan
V
(1994
), Dynamic instability of laminated composite curved panels using FEM
, Comput. Struct.
53
(2
), 335
–342
.146.
Tarn
JQ
(1994
), Asymptotic theory for dynamic response of anisotropic inhomogeneous and laminated cylindrical shells
, J. Mech. Phys. Solids
42
(10
), 1633
–1650
.147.
Mizusawa
T
and Kito
H
(1995
), Vibration of antisymmetric angle-ply laminated cylindrical panels by the spline strip method
, Comput. Struct.
56
(4
), 589
–604
.148.
Suzuki
K
, Shikanai
G
, and Leissa
AW
(1996
), Free vibrations of laminated composite non-circular thick cylindrical shells
, Int. J. Solids Struct.
33
(27
), 4079
–4100
.149.
Kumar
V
and Singh
AV
(1996
), Vibrations of fiber-reinforced laminated deep shells
, ASME J. Pressure Vessel Technol.
118
(4
), 407
–414
.150.
Shulga
NA
, Meish
VF
, and Khamrenko
YA
(1999
), Nonstationary vibrations of three-layered cylindrical shells under axisymmetric loading (Russian
), Prikl. Mekh.
35
(8
), 3
–9
.151.
Chakravorty
D
, Bandyopadhyay
JN
, and Sinha
PK
(1995
), Finite element free vibration analysis of point supported laminated composite cylindrical shells
, J. Sound Vib.
181
(1
), 43
–52
.152.
Ramesh
TC
and Ganesan
N
(1992
), FE based on a discretized layer theory for the free vibration analysis of cylindrical shells
, Comput. Struct.
43
(1
), 137
–143
.153.
Heyliger
P
, Pei
KC
, and Saravanos
D
(1996
), Layerwise mechanics and FE model for laminated piezoelectric shells
, AIAA J.
34
(11
), 2353
–2360
.154.
Ye
JQ
and Soldatos
KP
(1994
), Three-dimensional vibrations of laminated cylinders and cylindrical panels with a symmetric or an antisymmetric cross-ply lay-up
, Composites Eng.
4
, 429
–444
.155.
Suzuki
K
, Shikanai
G
, and Leissa
AW
(1994
), Free vibrations of laminated composite noncircular thin cylindrical shells
, ASME J. Appl. Mech.
61
(4
), 861
–871
.156.
Kumar
V
and Singh
AV
(1995
), Vibrations of composite noncircular cylindrical shells
, J. Vibr. Acoust.
117
(4
), 470
–476
.157.
Wang
CY
and Vaicaitis
R
(1998
), Active control of vibrations and noise of double wall cylindrical shells
, J. Sound Vib.
216
(5
), 865
–888
.158.
Yadav
D
and Verma
N
(1998
), Free vibration of composite circular cylindrical shells with random material properties—Part 1: General theory
, Compos. Struct.
41
(3-4
), 331
–338
.159.
Chen
WQ
, Ding
HJ
, and Xu
RQ
(1998
), Exact analysis of free vibrations of embedded transversely isotropic cylindrical shells
, Int. J. Pressure Vessels Piping
75
(13
), 961
–966
.160.
Grigorenko
AY
(1998
), Numerical solution of the problem of free axisymmetrical oscillations of a hollow orthotropic cylinder under various adjustment of end-faces (Russian
), Prikl. Mekh.
33
(5
), 49
–54
.161.
Reddy
PM
and Tajuddin
M
(2000
), Exact analysis of the plane-strain vibrations of thick-walled hollow poroelastic cylinders
, Int. J. Solids Struct.
37
(25
), 3439
–3456
.162.
Soldatos
KP
and Ye
J
(1994
), Wave propagation in anisotropic laminated hollow cylinders of infinite extent
, J. Acoust. Soc. Am.
96
(6
), 3744
–3752
.163.
Messina
A
and Soldatos
KP
(1999
), Ritz-type dynamic analysis of cross-ply laminated circular cylinders subjected to different boundary conditions
, J. Sound Vib.
227
(4
), 749
–768
.164.
Messina
A
and Soldatos
KP
(1999
), Influence of edge boundary conditions on the free vibrations of cross-ply laminated circular cylindrical panels
, J. Acoust. Soc. Am.
106
(5
), 2608
–2620
.165.
Raouf
RA
and Palazotto
AN
(1992
), Nonlinear free vibrations of symmetrically laminated, slightly compressible cylindrical shell panels
, Compos. Struct.
20
(4
), 249
–257
.166.
Raouf
RA
and Palazotto
AN
(1996
), Nonlinear dynamics of unidirectional, fiber-reinforced tori
, J. Eng. Mech.
122
(3
), 271
–276
.167.
Lam
KY
and Ng
TY
(1998
), Dynamic stability analysis of laminated composite cylindrical shells subjected to conservative periodic axial loads
, Composites, Part B
29
(6
), 769
–785
.168.
Ng
TY
and Lam
KY
(1999
), Dynamic stability analysis of cross-ply laminated cylindrical shells using different shell theories
, Acta Mech.
134
(3-4
), 147
–167
.169.
Keiichi
N
and Hirakazu
K
(2000
), Analysis of dynamic stability of angle-ply laminated cylindrical shells subjected to periodic external pressure (Japanese
), J. Soc. Mater. Sci. Jpn.
49
(9
), 1010
–1016
.170.
Ng
TY
, Lam
KY
, and Reddy
JN
(1998
), Dynamic stability of cross-ply laminated cylindrical shells
, Int. J. Mech. Sci.
40
(8
), 805
–823
.171.
Tenek
L
(1999
), Dynamic collapse of critically stressed isotropic and composite cylinders
, Commun. Numer. Methods Eng.
15
(12
), 895
–899
.172.
Ganapathi
M
and Balamurugan
V
(1998
), Dynamic instability analysis of a laminated composite circular cylindrical shell
, Comput. Struct.
69
(2
), 181
–189
.173.
Qatu MS (1989), Free Vibration and Static Analysis of Laminated Composite Shallow Shells, PhD Dissertation, Ohio State Univ, Columbus OH.
174.
Leissa
AW
and Qatu
MS
(1991
), Equations of elastic deformation of laminated composite shallow shells
, ASME J. Appl. Mech.
58
(1
), 181
–188
.175.
Leissa
AW
and Qatu
MS
(1991
), Stress and deflection analysis of composite cantilevered shallow shells
, J. Eng. Mech.
117
(4
), 893
–906
.176.
Narita
Y
and Nitta
T
(1998
), Optimal design by using various solutions for vibration of laminated shallow shells on shear diaphragms
, J. Sound Vib.
214
(2
), 227
–244
.177.
Lam
KY
and Loy
CT
(1995
), Analysis of rotating laminated cylindrical shells by different thin shell theories
, J. Sound Vib.
186
(1
), 23
–35
.178.
Liew
KM
, Lim
CW
, and Kitipornchai
S
(1996
), Effects of general laminations and boundary constraints on vibration of composite shallow shells
, Composites, Part B
27
(2
), 155
–171
.179.
Lee
DG
(1988
), Calculation of natural frequencies of vibration of thin orthotropic composite shells by energy method
, J. Compos. Mater.
22
(12
), 1102
–1115
.180.
Barai
A
and Durvasula
S
(1992
), Vibration and buckling of hybrid laminated curved panels
, Compos. Struct.
21
(1
), 15
–27
.181.
Chakravorty
D
, Bandyopadhyay
JN
, and Sinha
PK
(1995
), Free vibration analysis of point-supported laminated composite doubly curved shells: A FE approach
, Comput. Struct.
54
(2
), 191
–198
.182.
Chakravorty
D
, Bandyopadhyay
JN
, and Sinha
PK
(1996
), Finite element free vibration analysis of doubly-curved laminated composite shells
, J. Sound Vib.
191
(4
), 491
–504
.183.
Qatu
MS
(1993
), Vibrations of doubly cantilevered laminated-composite thin shallow shells
, Thin-Walled Struct.
15
(3
), 235
–248
.184.
Qatu
MS
and Leissa
AW
(1991
), Free vibrations of completely free doubly curved laminated composite shallow shells
, J. Sound Vib.
151
(1
), 9
–29
.185.
Qatu
MS
and Leissa
AW
(1991
), Natural frequencies for cantilevered doubly-curved laminated composite shallow shells
, Compos. Struct.
17
(3
), 227
–255
.186.
Senitsky
YE
(1994
), Axisymmetrical dynamic problem for nonhomogeneous shallow spherical shell with finite shift liquid (Russian
), Prikl. Mekh.
30
(9
), 50
–57
.187.
Lim
CW
, Liew
KM
, and Kitipornchai
S
(1998
), Vibration of cantilevered laminated composite shallow conical shells
, Int. J. Solids Struct.
35
(15
), 1695
–1707
.188.
Touratier
M
(1992
), Refined theory of laminated shallow shells
, Int. J. Solids Struct.
29
(11
), 1401
–1415
.189.
Touratier
M
and Faye
JP
(1995
), Refined model in structural mechanics: FE approximation and edge effect analysis for axisymmetric shells
, Comput. Struct.
54
(5
), 897
–920
.190.
Beakou
A
and Touratier
M
(1993
), Rectangular FE for analysing composite multilayered shallow shells in statics, vibration and buckling
, Int. J. Numer. Methods Eng.
36
(4
), 627
–653
.191.
Chaudhuri
RA
and Kabir
HRH
(1992
), Boundary-continuous-displacement based Fourier analysis of laminated doubly-curved panels using classical shallow shell theories
, Int. J. Eng. Sci.
30
(11
), 1647
–1664
.192.
Chaudhuri
RA
and Kabir
HRH
(1994
), Static and dynamic Fourier analysis of finite cross-ply doubly curved panels using classical shallow shell theories
, Compos. Struct.
28
(1
), 73
–91
.193.
Singh
AV
and Kumar
V
(1996
), Vibration of laminated shallow shells on quadrangular boundary
, J. Aerospace Eng.
9
(2
), 52
–57
.194.
Narita
Y
, Itoh
M
, and Zhao
X
(1996
), Optimal design by genetic algorithm for maximum fundamental frequency of laminated shallow shells
, Adv. Composites Letters
5
(1
), 21
–24
.195.
Qatu
MS
(1995
), Natural vibration of free, laminated composite triangular and trapezoidal shallow shells
, Compos. Struct.
31
(1
), 9
–19
.196.
Qatu
MS
(1995
), Vibration of cantilevered composite triangular and trapezoidal doubly-curved shallow shells
, Acta Mech.
108
(1-4
), 63
–75
.197.
Qatu
MS
(1992
), Mode shape analysis of laminated composite shallow shells
, J. Acoust. Soc. Am.
92
(3
), 1509
–1520
.198.
Lim
CW
, Liew
KM
, and Kitipornchai
S
(1997
), Free vibration of pretwisted, cantilevered composite shallow conical shells
, AIAA J.
35
(2
), 327
–333
.199.
Paliwal
DN
, Kanagasabapathy
H
, and Gupta
KM
(1995
), Vibrations of an orthotropic shallow spherical shell on a Pasternak foundation
, Compos. Struct.
33
(3
), 135
–142
.200.
Paliwal
DN
, Kanagasabapathy
H
, and Gupta
KM
(1995
), Vibrations of an orthotropic shallow spherical shell on a Kerr foundation
, Int. J. Pressure Vessels Piping
64
(1
), 17
–24
.201.
Krizhevsky
G
and Stavsky
Y
(1995
), Vibrations of polar orthotropic laminated shallow spherical shells by Godunov method
, AIAA J.
33
(7
), 1359
–1362
.202.
Cheng
ZQ
, He
LH
, and Kitipornchai
S
(2000
), Influence of imperfect interfaces on bending and vibration of laminated composite shells
, Int. J. Solids Struct.
37
(15
), 2127
–2150
.203.
Narashimhan
MC
and Alwar
RS
(1992
), Free vibration analysis of laminated orthotropic spherical shells
, J. Sound Vib.
154
(3
), 515
–529
.204.
Chen
WQ
and Ding
HJ
(1997
), Free vibrations of an embedded anisotropic spherical shells
, ASME J. Pressure Vessel Technol.
119
(4
), 481
–487
.205.
Gautham
BP
and Ganesan
N
(1997
), Free vibration characterestics of isotropic and laminated orthotropic spherical cap
, J. Sound Vib.
204
(1
), 17
–40
.206.
Chao
CC
and Tung
TP
(1989
), Step pressure and blast responses of clamped orthotropic hemispherical shells
, Int. J. Impact Eng.
8
(3
), 191
–207
.207.
Chao
CC
, Tung
TP
, and Chern
YC
(1991
), Axisymmetric free vibration of thick orthotropic hemispherical shells under various edge conditions
, J. Vib. Acoust. Stress Reliab. Des.
113
(2
), 152
–159
.208.
Gupta
NK
and Prasad
GL
(1999
), Quasi-static and dynamic axial compression of glass-polyester composite hemi-spherical shells
, Int. J. Impact Eng.
22
(8
), 757
–774
.209.
Birman
V
, Griffin
S
, and Knowle
G
(2000
), Axisymmetric dynamics of composite spherical shells with active piezoelectric and composite stiffeners
, Acta Mech.
141
(1-2
), 71
–83
.210.
Babich
DV
, Shpakova
SG
, and Sheptun
LA
(1996
), Stability and oscillations of heated spherical shells (Russian
), Prikl. Mekh.
32
(3
), 34
–38
.211.
Sandeep
K
and Nath
Y
(2000
), Nonlinear dynamic response of axisymmetric thick laminated shallow spherical shells
, Int. J. Nonlinear Sci. Numer. Simulation
1
(3
), 225
–238
.212.
Slepyan
LI
and Sorokin
SV
(1995
), Analysis of structural-acoustic coupling problems by a two-level boundary integral equations method—Part 1: A general formulation and test problems
, J. Sound Vib.
184
(2
), 195
–211
.213.
Ganapathi
M
, Patel
BP
, and Sambandam
CT
(1999
), Dynamic instability analysis of circular conical shells
, Compos. Struct.
46
(1
), 59
–64
.214.
Kayran
A
and Vinson
JR
(1990
), Free vibration analysis of laminated composite truncated circular conical shells
, AIAA J.
28
(7
), 1259
–1269
.215.
Wu
CP
and Wu
CH
(2000
), Asymptotic differential quadrature solutions for the free vibration of laminated conical shells
, Comput. Mech.
25
(4
), 346
–357
.216.
Tong
L
(1994
), Free vibration of laminated conical shells including transverse shear deformation
, Int. J. Solids Struct.
31
(4
), 443
–456
.217.
Tong
L
(1994
), Effect of transverse shear deformation on free vibration of orthotropic conical shells
, Acta Mech.
107
(1-4
), 65
–75
.218.
Tong
L
(1996
), Effect of axial load on free vibration of orthotropic truncated conical shells
, J. Vibr. Acoust.
118
(2
), 164
–168
.219.
Liu
L
, Liu
T
, and Huang
WL
(1997
), Free vibrations of joined conical shells made of composite materials
, J. Huazhong Univ. Sci. Technol.
25
(9
), 32
–34
.220.
Gofman
MN
(1998
), Steady-state torsional oscillations of multilayer truncated cones
, Prikl. Mekh.
34
(3
), 64
–68
.221.
Bardell
NS
, Langley
RS
, Dunsdon
JM
, and Aglietti
GS
(1999
), h-p FE vibration analysis of open conical sandwich panels and conical sandwich frusta
, J. Sound Vib.
226
(2
), 345
–377
.222.
Korjakin
A
, Rikards
R
, Chate
A
, and Altenbach
H
(1998
), Analysis of free damped vibrations of laminated composite conical shells
, Compos. Struct.
41
(1
), 39
–47
.223.
Khatri
KN
and Asnani
NT
(1995
), Vibration and damping analysis of multilayered conical shells
, Compos. Struct.
33
(3
), 143
–157
.224.
Khatri
KN
and Asnani
NT
(1996
), Vibration and damping analysis of fiber reinforced composite material conical shells
, J. Sound Vib.
193
(3
), 581
–595
.225.
Liu
RH
and Li
J
(1995
), Nonlinear vibration of shallow conical sandwich shells
, Int. J. Non-Linear Mech.
30
(2
), 97
–109
.226.
Qatu
MS
and Leissa
AW
(1991
), Vibration studies for laminate composite twisted cantilever plates
, Int. J. Mech. Sci.
33
(11
), 927
–940
.227.
Nabi
SM
and Ganesan
N
(1993
), Vibration and damping analysis of pre-twisted composite blades
, Comput. Struct.
47
(2
), 275
–280
.228.
Lim
CW
and Liew
KM
(1995
), Vibration of pretwisted cantilevered trapezoidal symmetric laminates
, Acta Mech.
111
(3-4
), 193
–208
.229.
Liew
KM
and Lim
CW
(1996
), Vibratory characteristics of pretwisted cantilever trapezoids of unsymmetric laminates
, AIAA J.
34
(5
), 1041
–1050
.230.
Kayran
A
and Vinson
JR
(1990
), Torsional vibrations of layered composite paraboloidal shells
, J. Sound Vib.
141
(2
), 231
–244
.231.
Kayran
A
and Vinson
JR
(1990
), The effect of transverse shear deformation on the natural frequencies of layered composite paraboloidal shells
, J. Vib. Acoust. Stress Reliab. Des.
112
(4
), 429
–439
.232.
Kayran
A
and Vinson
JR
(1994
), Method for the calculation of natural frequencies of orthotropic axisymmetrically loaded shells of revolution
, J. Vib. Acoust.
116
(1
), 16
–25
.233.
Visscher
WM
, Migliori
A
, Bell
TM
, and Reinert
RA
(1991
), Normal modes of free vibration of inhomogeneous and anisotropic elastic objects
, J. Acoust. Soc. Am.
90
(4
Pt 1), 2154
–2162
.234.
Singh
AV
and Mirza
S
(1991
), Asymmetric vibrations of layered orthotropic shells of revolution
, J. Sound Vib.
148
(2
), 265
–277
.235.
Rao
MA
, Dukkipati
RV
, and Tummala
M
(1993
), FE analysis of multilayered shells of revolution
, Comput. Struct.
47
(2
), 253
–258
.236.
Patel
BP
, Ganapathi
M
, and Kama
S
(2000
), Free vibration characteristics of laminated composite joined conical-cylindrical shells
, J. Sound Vib.
237
(5
), 920
–930
.237.
Sivak
VF
(1998
), Experimental study of resonance and dissipative properties of cylindrical shell of glass fiber reinforced plastic filled with liquid (Russian
), Prikl. Mekh.
34
(2
), 39
–42
.238.
Isaksson
A
, Saldner
HO
, and Molin
NE
(1995
), Influence of enclosed air on vibration modes of a shell structure
, J. Sound Vib.
187
(3
), 451
–466
.239.
Swider
P
, Le Fichoux
B
, and Jacquet-Richardet
G
(1996
), Dynamic modeling of a composite shell: A mixed numerical and experimental approach
, Compos. Struct.
34
(2
), 301
–308
.240.
Cunha
J
and Piranda
J
(2000
), Identification of stiffness properties of composite tubes from dynamic tests
, Exp. Mech.
40
(2
), 211
–218
.241.
Tong
L
(1993
), Free vibration of composite laminated conical shells
, Int. J. Mech. Sci.
35
(1
), 47
–61
.242.
Tong
L
(1993
), Free vibration of orthotropic conical shells
, Int. J. Eng. Sci.
31
(5
), 719
–733
.243.
Moore
ID
(1990
), Vibration of thick elastic and viscoelastic tubes. I. Harmonic response
, J. Eng. Mech.
116
(4
), 928
–942
.244.
Sharma
CB
, Darvizeh
M
, and Darvizeh
A
(1996
), Free vibration response of multilayered orthotropic fluid-filled circular cylindrical shells
, Compos. Struct.
34
(2
), 349
–355
.245.
Chun
L
and Lam
KY
(1995
), Dynamic analysis of clamped laminated curved panels
, Compos. Struct.
30
(4
), 389
–398
.246.
Sheinman
I
and Reichman
Y
(1992
), Study of buckling and vibration of laminated shallow curved panels
, Int. J. Solids Struct.
29
(11
), 1329
–1338
.247.
Young
PG
and Dickinson
SM
(1997
), Natural frequencies of vibration of a class of solids composed of layers of isotropic materials
, Int. J. Mech. Sci.
39
(1
), 97
–104
.248.
Li
N
and Mirza
S
(1997
), Dynamic response of cross-ply laminated shell panels
, ASME J. Pressure Vessel Technol.
119
(2
), 157
–160
.249.
Ohnabe
H
(1995
), Nonlinear vibration of heated orthotropic sandwich plates and shallow shells
, Int. J. Non-Linear Mech.
30
(4
), 501
–508
.250.
Palazotto
AN
and Linnemann
PE
(1991
), Vibration and buckling characteristics of composite cylindrical panels incorporating the effects of a higher order shear theory
, Int. J. Solids Struct.
28
(3
), 341
–361
.251.
Khatri
KN
(1996
), Antisymmetric vibrations of multilayered conical shells with constrained viscoelastic layers
, Int. J. Solids Struct.
33
(16
), 2331
–2355
.252.
Mackerle
J
(1999
), Finite element vibration analysis of beams, plates, and shells
, Shock Vib. Dig.
6
(2
), 97
–109
.253.
Cyr
GJ
, Hinrichsen
RL
, and Walley
RA
(1988
), Effects of cutouts on the dynamic response of curved rectangular composite panels
, AIAA J.
26
(5
), 582
–588
.254.
Singh
AV
, Mirza
S
, and Gupgupoglu
K
(1990
), Dynamic response of sandwich shells of revolution
, ASME J. Pressure Vessel Technol.
112
(1
), 98
98
.255.
Lee
HJ
and Saravanos
DA
(2000
), Mixed multi-field FE formulation for thermopiezoelectric composite shells
, Int. J. Solids Struct.
37
(36
), 4949
–4967
.256.
Chen
CI
, Mucino
VH
, and Barbero
EJ
(1993
), Finite element vibration analysis of a helically wound tubular and laminated composite material beam
, Comput. Struct.
49
(3
), 399
–410
.257.
Gotsis
PK
and Guptill
JD
(1995
), Free vibration of fiber composite thin shells in a hot environment
, J. Reinf. Plast. Compos.
14
(2
), 143
–163
.258.
Soares
CMM
, Correia
VF
, Mateus
H
, and Herskovits
J
(1995
), Discrete model for the optimal design of thin composite plate-shell type structures using a two-level approach
, Compos. Struct.
30
(2
), 147
–157
.259.
Chang
JS
and Shyong
JW
(1994
), Thermally induced vibration of laminated circular cylindrical shell panels
, Compos. Sci. Technol.
51
(3
), 419
–427
.260.
Lakis
AA
and Sinno
M
(1992
), Free vibration of axisymmetric and beam-like cylindrical shells, partially filled with liquid
, Int. J. Numer. Methods Eng.
33
(2
), 235
–268
.261.
Kapania
PK
and Mohan
P
(1996
), Static, free vibration and thermal analysis of composite plates and shells using a flat triangular shell element
, Comput. Mech.
17
(5
), 343
–357
.262.
Kosmatka
JB
(1994
), Accurate shear-deformable six-node triangular plate element for laminated composite structures
, Int. J. Numer. Methods Eng.
37
(3
), 431
–455
.263.
Zhu
J
(1996
), Free vibration analysis of multilayered composite plates and shells with the natural approach. Comput Methods
, Appl. Mech. Eng.
130
(1-2
), 133
–149
.264.
Chandrashekhara
K
(1989
), Free vibrations of anisotropic laminated doubly curved shells
, Comput. Struct.
33
(2
), 435
–440
.265.
Chun
CK
and Dong
SB
(1998
), Finite element analysis of shear deformation in laminated anisotropic shells of revolution
, J. Sound Vib.
218
(1
), 164
–176
.266.
Blocka
B
(1988
), Free vibrations of thin, elastic, segmented shells of revolution reinforced with circumferential rings
, Arch. Mech.
40
(2-3
), 183
–199
.267.
Liao
CL
and Cheng
CR
(1994
), Dynamic stability of stiffened laminated composite plates and shells subjected to in-plane pulsating forces
, J. Sound Vib.
174
(3
), 335
–351
.268.
Liao
CL
and Cheng
CR
(1994
), Dynamic stability of stiffened laminated composite plates and shells subjected to in-plane pulsating forces
, Int. J. Numer. Methods Eng.
37
(24
), 4167
–4183
.269.
Goswami
S
and Mukhopadhyay
M
(1995
), Finite element free vibration analysis of laminated composite stiffened shell
, J. Compos. Mater.
29
(18
), 2388
–2422
.270.
Lee
DM
and Lee
I
(1995
), Vibration analysis of anisotropic plates with eccentric stiffeners
, Comput. Struct.
57
(1
), 99
–105
.271.
Bouabdallah
MS
and Batoz
JL
(1996
), Formulation and evaluation of a FE model for the linear analysis of stiffened composite cylindrical panels
, Finite Elem. Anal. Design
21
(4
), 265
–289
.272.
Noor
AK
, Burton
WS
, and Peters
JM
(1990
), Predictor-corrector procedures for stress and free vibration analyses of multilayered composite plates and shells
, Comput. Methods Appl. Mech. Eng.
82
(1-3
), 341
–363
.273.
Abu-Farsakh
G
and Qatu
MS
(1995
), A triangular conforming element for laminated shells
, Thin-Walled Struct.
21
(1
), 31
–42
.274.
Wilt
TE
, Saleeb
AF
, and Chang
TY
(1990
), Mixed element for laminated plates and shells
, Comput. Struct.
37
(4
), 597
–611
.275.
Gendy
AS
, Saleeb
AF
, and Mikhail
SN
(1997
), Free vibrations and stability analysis of laminated composite plates and shells with hybrid-mixed formulation
, Comput. Struct.
63
(6
), 1149
–1163
.276.
Ramesh
TC
and Ganesan
N
(1994
), Orthotropic cylindrical shells with a viscoelastic core: A vibration and damping analysis
, J. Sound Vib.
175
(4
), 535
–555
.277.
Gautham
BP
and Ganesan
N
(1992
), Axisymmetric vibration of layered orthotropic spherical shells of variable thickness
, Comput. Struct.
45
(5-6
), 893
–900
.278.
Jia
J
and Rogers
CA
(1990
), Formulation of a laminated shell theory incorporating embedded distributed actuators
, J. Mech. Des.
112
(4
), 594
–602
.279.
Lammering
R
(1991
), Application of a finite shell element for composites containing piezo-electric polymers in vibration control
, Comput. Struct.
41
(5
), 1101
–1109
.280.
Hussein
M
and Heyliger
PR
(1996
), Discrete layer analysis of axisymmetric vibrations of laminated piezoelectric cylinders
, J. Sound Vib.
192
(5
), 995
–1013
.281.
Tzou
HS
and Bao
Y
(1995
), Dynamics and control of adaptive shells with curvature transformations
, Shock Vib. Dig.
2
(2
), 143
–154
.282.
Tzou
HS
and Gadre
M
(1989
), Theoretical analysis of a multi-layered thin shell coupled with piezoelctric shell actuators for distributed vibration controls
, J. Sound Vib.
132
(3
), 433
–450
.283.
Tzou
HS
and Ye
R
(1996
), Analysis of piezoelastic structures with laminated piezoelectric triangle shell elements
, AIAA J.
34
(1
), 110
–115
.284.
Hurlbut
BJ
and Regelbrugge
MA
(1996
), Evaluation of a constitutive model for shape memory alloys embedded in shell structures
, J. Reinf. Plast. Compos.
15
(12
), 1249
–1261
.285.
Berger
H
and Gabbert
U
(2000
), Finite element analysis and design of piezoelectric controlled smart structures
, J. Theor. Appl. Mech.
38
(3
), 475
–498
.286.
Martin
CW
and Lung
SF
(1991
), Finite dynamic element for laminated composite plates and shells
, Comput. Struct.
40
(5
), 1249
–1259
.287.
Lakis
AA
and Laveau
A
(1991
), Non-linear dynamic analysis of anisotropic cylindrical shells containing a flowing fluid
, Int. J. Solids Struct.
28
(9
), 1079
–1094
.288.
Chowdary
TVR
, Parthan
S
, and Sinha
PK
(1994
), Finite element flutter analysis of laminated composite panels
, Comput. Struct.
53
(2
), 245
–251
.289.
Liao
CL
and Sun
YW
(1993
), Flutter analysis of stiffened laminated composite plates and shells in supersonic flow
, AIAA J.
31
(10
), 1897
–1905
.290.
Kapania
PK
and Byun
C
(1992
), Vibrations of imperfect laminated panels under complex preloads
, Int. J. Non-Linear Mech.
27
(1
), 51
–62
.291.
Beskos
DE
(1997
), Boundary element methods in dynamic analysis—Part II (1986–1996
), Appl. Mech. Rev.
50
(3
), 149
–197
.292.
Chang
JS
and Lin
CH
(1992
), Buckling and free vibration of cross-ply laminated circular cylindrical shells subjected to axial thrust and lateral pressure loading according to a higher order displacement field
, Thin-Walled Struct.
13
(3
), 177
–196
.293.
Argento
A
(1993
), Dynamic stability of a composite circular cylindrical shell subjected to combined axial and torsional loading
, J. Compos. Mater.
27
(18
), 1722
–1738
.294.
Williams
FW
, Bennett
PN
, and Kennedy
D
(1996
), Curves for natural frequencies of axially compressed prismatic plate assemblies
, J. Sound Vib.
194
(1
), 13
–24
.295.
Sharma
CB
, Darvizeh
M
, and Darvizeh
A
(1996
), Dynamic radial loading of thin GRP tubes
, Thin-Walled Struct.
26
(4
), 315
–324
.296.
Argento
A
and Scott
RA
(1993
), Dynamic instability of layered anisotropic circular cylindrical shells, Part I: Theoretical development
, J. Sound Vib.
162
(2
), 311
–322
.297.
Argento
A
and Scott
RA
(1993
), Dynamic instability of layered anisotropic circular cylindrical shells, Part II: Numerical results
, J. Sound Vib.
162
(2
), 323
–332
.298.
Nemoto
K
and Kasuya
H
(1994
), Dynamic response of angle-ply laminated cylindrical shells subjected to periodic external pressure
, J. Soc. Mater. Sci. Jpn.
43
(486
), 254
–258
.299.
Suzuki
K
and Shikanai
G
(1998
), Vibration of composite circular cylindrical vessel
, Int. J. Solids Struct.
35
(22
), 2877
–2899
.300.
Singh
VP
, Dwivedi
JP
, and Upadhyay
PC
(1999
), Non-axisymmetric dynamic response of buried orthotropic cylindrical shells under moving load
, Struct. Eng. Mech.
8
(1
), 39
–51
.301.
Tabiei
A
, Tanov
R
, and Simitses
GJ
(1999
), Numerical simulation of cylindrical laminated shells under impulsive lateral pressure
, AIAA J.
37
(5
), 629
–633
.302.
Barkanov
E
, Rikards
R
, Holste
C
, and Tager
O
(2000
), Transient response of sandwich viscoelastic beams, plates, and shells under impulse loading
, Mech. Compos. Mater.
36
(3
), 215
–222
.303.
Wu
N
, Rauch
BG
, and Kessel
PG
(1991
), Perturbation solution to the dynamic response of orthotropic cylindrical shells using the generalized theory of thermoelasticity
, J. Therm. Stresses
14
(4
), 465
–477
.304.
Huang
NN
and Tauchert
TR
(1992
), Thermally induced vibration of doubly curved cross-ply laminated panels
, J. Sound Vib.
154
(3
), 485
–494
.305.
Birman
V
and Bert
CW
(1990
), Dynamic stability of reinforced composite cylindrical shells in thermal fields
, J. Sound Vib.
142
(2
), 183
–190
.306.
Tenek
L
(1999
), Vibration of thermally stressed composite cylinders
, AIAA J.
37
(11
), 1520
–1521
.307.
Sklyarchuk
FN
, Tyutunnikov
NP
, and Kochemasova
EI
(1996
), Equations for strains and vibrations in thin-walled cylindrical structures made from composite materials with thermoelastic and piezoelectric layers
, Composite Mech. Des.
2
(3
), 37
–50
.308.
Argyris
J
, Tenek
L
, Andreadis
I
, Athanasiou
M
, and Pavlos
G
(1998
), Chaotic oscillations of a laminated composite cylinder subject to a periodic application of temperature
, Chaos, Solitons Fractals
9
(9
), 1529
–1554
.309.
Rand
O
and Stavsky
Y
(1991
), Free vibrations of spinning composite cylindrical shells
, Int. J. Solids Struct.
28
(7
), 831
–843
.310.
Kadivar
MH
and Samani
K
(2000
), Free vibration of rotating thick composite cylindrical shells using layerwise laminate theory
, Mech. Res. Commun.
27
(6
), 679
–684
.311.
Tylikowski
A
(1996
), Dynamic stability of rotating composite shafts
, Mech. Res. Commun.
23
(2
), 175
–180
.312.
Lam
KY
and Hua
L
(2000
), Generalized differential quadrature for frequency of rotating multilayered conical shell
, J. Eng. Mech.
126
(11
), 1156
–1162
.313.
Kobayashi
Y
and Yamada
G
(1991
), Free vibration of a spinning polar orthotropic shallow spherical shell
, JSME Int. J. Ser. III
34
(2
), 233
–238
.314.
Lee
YS
and Kim
YW
(1998
), Vibration analysis of rotating composite cylindrical shells with orthogonal stiffeners
, Comput. Struct.
69
(2
), 271
–281
.315.
Hua
L
(2000
), Frequency characteristics of a rotating truncated circular layered conical shell
, Compos. Struct.
50
(1
), 59
–68
.316.
Kuznetsov
OV
(1990
), Analysis of vibrations of shells of revolution reinforced by stiffeners
, Mech. Solids
25
(2
), 186
–190
.317.
Bert
CW
, Kim
CD
, and Birman
V
(1993
), Vibration of composite-material cylindrical shells with ring and/or stringer stiffeners
, Compos. Struct.
25
(1-4
), 477
–484
.318.
Lopatin
AV
(1995
), Transverse vibrations of a cantilever composite cylindrical shell with ring-shaped stiffening ribs
, Mech. Solids
30
(2
), 132
–139
.319.
Gong
SW
and Lam
KY
(1998
), Transient response of stiffened composite submersible hull subjected to underwater explosive shock
, Compos. Struct.
41
(1
), 27
–37
.320.
Schokker
A
, Sridharan
S
, and Kasagi
A
(1996
), Dynamic buckling of composite shells
, Comput. Struct.
59
(1
), 43
–53
.321.
Woodhouse
J
and Power
J
(2000
), Space-time visualization of vibration of a ribbed cylinder
, Proc. Inst. Mech. Eng. Part C: J. Mech. Eng. Sci.
214
(C10
), 1259
–1271
.322.
Goswami
S
(1997
), Response of composite stiffened shells under stochastic excitation
, J. Reinf. Plast. Compos.
16
(16
), 1492
–1522
.323.
Librescu
L
and Chang
MY
(1993
), Effects of geometric imperfections on vibration of compressed shear deformable laminated composite curved panels
, Acta Mech.
96
(1-4
), 203
–224
.324.
Irschik
H
and Ziegler
F
(1996
), Maysel’s formula generalized for piezoelectric vibrations: Application to thin shells of revolution
, AIAA J.
34
(11
), 2402
–2405
.325.
Sung
CK
, Chen
TF
, and Chen
SG
(1996
), Piezoelectric modal sensor-actuator design for monitoring-generating flexural and torsional vibrations of cylindrical shells
, J. Vibr. Acoust.
118
(1
), 48
–55
.326.
Sonti
VR
and Jones
JD
(1996
), Curved piezoactuator model for active vibration control of cylindrical shells
, AIAA J.
34
(5
), 1034
–1040
.327.
Sonti
VR
and Jones
JD
(1996
), Dynamic effects of piezoactuators on the cylindrical shell response
, AIAA J.
34
(4
), 795
–801
.328.
Tzou
HS
and Zhong
JP
(1996
), Spatially filtered vibration control of cylindrical shells
, Shock Vib. Dig.
3
(4
), 269
–278
.329.
Dube
GP
, Dumir
PC
, and Kumar
CB
(1999
), Segmented sensors and actuators for thick plates and shells—Part I: Analysis using FSDT
, J. Sound Vib.
226
(4
), 739
–753
.330.
Dube
GP
, Dumir
PC
, and Kumar
CB
(1999
), Segmented sensors and actuators for thick plates and shells—Part II: Parametric study
, J. Sound Vib.
226
(4
), 755
–767
.331.
Sloss
JM
, Sadek
IS
, Bruch
Jr JC
, and Adali
S
(1989
), Optimal vibration control of laminated cross-ply cylindrical panels
, Math. Eng. Indust.
2
(3
), 169
–188
.332.
Miller
SE
, Oshman
Y
, Abramovich
H
, and Guidance
J
(1999
), Selective modal transducers for piezolaminated anisotropic shells
, J. Guid. Control Dyn.
22
(3
), 455
–466
.333.
Ye
R
and Tzou
HS
(2000
), Control of adaptive shells with thermal and mechanical excitations
, J. Sound Vib.
231
(5
), 1321
–1338
.334.
Saravanos
DA
(2000
), Passively damped laminated piezoelectric shell structures with integrated electric networks
, AIAA J.
38
(7
), 1260
–1268
.335.
Saravanos
DA
and Heyliger
PR
(1999
), Mechanics and computational models for laminated piezoelectric beams, plates, and shells
, Appl. Mech. Rev.
52
(10
), 305
–319
.336.
Bicos
AS
and Springer
GS
(1989
), Analysis of free damped vibration of laminated composite plates and shells
, Int. J. Solids Struct.
25
(2
), 129
–149
.337.
Singh
SP
and Gupta
K
(1994
), Damped free vibrations of layered composite cylindrical shells
, J. Sound Vib.
172
(2
), 191
–209
.338.
Singh
SP
and Gupta
K
(1994
), Free damped flexural vibration analysis of composite cylindrical tubes using beam and shell theories
, J. Sound Vib.
172
(2
), 171
–190
.339.
Chate
A
, Rikards
R
, and Korjakin
A
(1995
), Analysis of free damped vibrations of laminated composite cylindrical shells
, Mech. Compos. Mater.
T31
(5
), 646
–659
.340.
He
JF
and Ma
BA
(1996
), Vibration analysis of viscoelastically damped sandwich shells
, Shock Vib. Dig.
3
(6
), 403
–417
.341.
Kurnik
W
(1995
), Simplified analysis of displacements, load capacity and damping of laminated shafts
, Machine Dyn. Prob.
13
, 31
–45
.342.
Sobotka
Z
(1996
), Free vibrations of viscoelastic orthotropic shallow shells
, Acta Tech. CSAV
41
(1
), 75
–95
.343.
Xia
ZQ
and Lukasiewicz
S
(1996
), Effect of temperature changes on damping properties of sandwich cylindrical panels
, Int. J. Solids Struct.
33
(6
), 835
–849
.344.
Ossadzow
C
, Muller
P
, and Touratier
M
(1998
), Wave dispersion in deep multilayered doubly curved viscoelastic shells
, J. Sound Vib.
214
(3
), 531
–552
.345.
Hu
YC
and Huang
SC
(2000
), Application of constrained layer damping on the cylindrical shells conveying fluid
, J. Chinese Soc. Mech. Eng.
21
(2
), 189
–200
.346.
Hu
YC
and Huang
SC
(2000
), Frequency response and damping effect of three-layer thin shell with viscoelastic core
, Comput. Struct.
76
(5
), 577
–591
.347.
Barbone
PE
and Crighton
DJ
(1994
), Vibrational modes of submerged elastic bodies
, Appl. Acoust.
43
(3
), 295
–317
.348.
Chen
W
and Ding
H
(1999
), Natural frequencies of fluid-filled transversely isotropic cylindrical shell
, Int. J. Mech. Sci.
41
(6
), 677
–684
.349.
Wu
CJ
, Chen
HL
, and Huang
XQ
(2000
), Sound radiation from a finite fluid-filled-submerged cylindrical shell with porous material sandwich
, J. Sound Vib.
238
(3
), 425
–441
.350.
Ross
CTF
and Little
APF
(2000
), Vibration of a corrugated carbon fiber pressure vessel under external hydrostatic pressure
, Proc. Inst. Mech. Eng. Part C: J. Mech. Eng. Sci.
214
(C10
), 1299
–1311
.351.
Xi
ZC
, Liu
GR
, Lam
KY
, and Shang
HM
(2000
), Strip-element method for analyzing wave scattering by a crack in a fluid-filled composite cylindrical shell
, Compos. Sci. Technol.
60
(10
), 1985
–1996
.352.
Chang
JS
and Chiou
WJ
(1995
), Natural frequencies and critical velocities of fixed-fixed laminated circular cylindrical shells conveying fluids
, Comput. Struct.
57
(5
), 929
–939
.353.
Blaise
A
, Lesueur
C
, Gotteland
M
, and Barbe
M
(1991
), Sound transmission into an orthotropic infinite shell: Comparison with Koval’s results and understanding of phenomena
, J. Sound Vib.
150
(2
), 233
–243
.354.
Blaise
A
and Lesueur
C
(1992
), Acoustic transmission through a 2D orthotropic multi-layered infinite cylindrical shell
, J. Sound Vib.
155
(1
), 95
–109
.355.
Langley
RS
(1996
), Modal density of anisotropic structural components
, J. Acoust. Soc. Am.
99
(6
), 3481
–3487
.356.
Kautz
HE
(1996
), Acousto-ultrasonic decay in metal matrix composite panels
, Res. Nondestruct. Eval.
8
(1
), 39
–50
.357.
Paliwal
DN
and Pandey
RK
(1998
), Free vibration of a cylindrical shell on an elastic foundation
, J. Vibr. Acoust.
120
(1
), 63
–71
.358.
Oliveira
BF
and Creus
GJ
(2000
), Viscoelastic failure analysis of composite plates and shells
, Compos. Struct.
49
(4
), 369
–384
.359.
Ganesan
N
and Sivadas
KR
(1989
), Vibration analysis of orthotropic shells
, J. Sound Vib.
133
(3
), 510
–514
.360.
Ganesan
N
and Sivadas
KR
(1990
), Vibration analysis of orthotropic shells with variable thickness
, Comput. Struct.
35
(3
), 239
–248
.361.
Drewko
J
and Sperski
M
(1991
), Vibration of multi-chamber shell structures with discontinuously variable cross-sections
, Rozprawy Inzynierskie (Eng Trans)
39
(2
), 163
–180
.362.
Levraea
Jr VJ
, Palazotto
AN
, and Maddux
GE
(1993
), Effect of cutout positioning on the dynamic characteristics of a curved composite panel
, Comp. Geotechn.
23
(4
), 263
–272
.363.
Silva
MAG
(1992
), Propagation of transverse anti-plane waves in orthotropic layers
, Eur. J. Mech. A/Solids
11
(6
), 849
–862
.364.
Meish
VF
(1995
), Investigation of wave processes in shells and plates with regard to transverse normal and shear deformation. (Russian
), Mech. Compos. Mater.
T31
(6
), 816
–823
.365.
Markus
S
and Mead
DJ
(1995
), Wave motion in a three-layered, orthotropic-isotropic-orthotropic, composite shell
, J. Sound Vib.
181
(1
), 149
–167
.366.
Karbhari
VM
, Haller
JE
, Falzon
PK
, and Herszberg
I
(1999
), Post-impact crush of hybrid braided composite tubes
, Int. J. Impact Eng.
22
(4
), 419
–433
.367.
Nagubai
DI
and Saraf
PD
(1995
), Multifrequency shielding behavior of cylindrical overburden covering concentric elongated ore deposits
, Acta Geophys. Polonica
43
(1
), 63
–74
.368.
Raman
A
(1990
), Non-iterative method of structural optimization for static, dynamic and response problems
, Comput. Struct.
34
(2
), 185
–190
.369.
Abrate
S
(1994
), Optimal design of laminated plates and shells
, Compos. Struct.
29
(3
), 269
–286
.370.
Raouf
RA
(1994
), Tailoring the dynamic characteristics of composite panels using fiber orientation
, Compos. Struct.
29
(3
), 259
–267
.371.
Willinger
R
, Kang
HS
, and Diaw
BM
(1999
), Development and validation of a human head mechanical model (French
), Comptes Rendus L’Acad Sci Serie II
327
(1
), 125
–131
.372.
Hu
HT
and Juang
C-D
(1997
), Maximization of the fundamental frequencies of laminated curved panels against fiber orientation
, J. Aircr.
34
(6
), 792
–801
.373.
Narita
Y
and Zhao
X
(1998
), Optimal design for the maximum frequency of laminated shallow shells
, Int. J. Solids Struct.
35
(20
), 2571
–2583
.374.
Noor
AK
, Burton
WS
, and Peters
JM
(1995
), Hierarchical adaptive modeling of structural sandwiches and multilayered composite panels
, Eng. Fract. Mech.
50
(5-6
), 801
–817
.Copyright © 2002
by ASME
You do not currently have access to this content.
