A spectral element method for analyzing wave propagation in multiply connected plates oriented at arbitrary angles is presented. These plate elements may be joined to model structures with stiffeners, open or closed thin-walled tubes, corrugated plates, channels, and ducts. The element models exactly both in-plane and out-of-plane responses over large domains. Results for point impact of a plate with stringers and a thin-walled box beam show excellent agreement with finite element solutions.

1.
Bathe, K.-J., 1982, Finite Element Procedures in Engineering Analysts, Prentice-Hall, Englewood Cliffs.
2.
Batoz
J-L.
,
Bathe
K.-J.
, and
Ho
L-W.
,
1980
, “
A Study of Three-Node Triangular Plate Bending Elements
,”
Int. Journal for Numerical Methods in Engineering
. Vol.
15
, pp.
1771
1812
.
3.
Bergman
L. A.
,
Hall
J. K.
,
Lueschen
G. G. G.
, and
McFarland
D. M.
,
1993
, “
Dynamic Green’s Functions for Levy Plates
,”
J. Sound and Vibration
, Vol.
162
, No.
2
, pp.
281
310
.
4.
Chambers, Ll. G., 1962, “Sommerfeld Type Diffraction Problems for a Plate,” Zeitschrift fur Angewandte Math. u. Mech., B. 42, s. 545–555.
5.
Chang
C.
, and
Sun
C. T.
,
1989
, “
Determining Transverse Impact Force on a Composite Laminate by Signal Deconvolution
,”
Experimental Mechanics
, Vol.
29
, No.
4
, pp.
414
419
.
6.
Cheung, Y. K., 1976, Finite Strip Method in Structural Analysis, Pergamon Press, New York.
7.
Chu, K. H., and Dudnik, E., 1969, “Concrete Box Girder Bridges Analysed as Folded Plates,” Concrete Bridge Design, SP-23, pp. 221–246.
8.
Danial, A. N., 1994, “Inverse Solutions on Folded Plate Structures,” Ph.D. Thesis, Purdue University.
9.
Danial
A. N.
, and
Doyle
J. F.
,
1995
, “
Transverse Impact of a Damped Plate with a Straight Edge
,”
ASME JOURNAL OF VIBRATION AND ACOUSTICS
, Vol.
117
, pp.
103
108
.
10.
Danial
A. N.
, and
Doyle
J. F.
,
1993
, “
Dynamic Analysis of Folded Plate Structures on a Massively Parallel Computer
,”
Computers & Structures
, Vol.
54
, pp.
521
529
.
11.
Doyle, J. F., 1989, Wave Propagation in Structures, Springer-Verlag, New York.
12.
Eterovic
A. L.
, and
Godoy
L. A.
,
1989
, “
An Exact Strip Method for Folded Plate Structures
,”
Computers & Structures
, Vol.
32
, No.
2
, pp.
263
276
.
13.
Farhat
C.
,
Sobh
N.
, and
Park
K. C.
,
1990
, “
Transient Finite Element Computations on 65536 Processors. The Connection Machine
,”
Int. J. for Numerical Meth. Eng.
, Vol.
30
, No.
1
, pp.
27
55
.
14.
Goldberg, J. E., and Leve, H. L., 1957, “Theory of Prismatic Folded Plate Structures,” IABSE, v. 17.
15.
Kelkel
K.
,
1987
, “
Green’s Function and Receptance for Structures Consisting of Beams and Plates
,”
AIAA Journal
, Vol.
25
, pp.
1482
1489
.
16.
Michaels
J. E.
, and
Pao
Y. H.
,
1985
, “
Inverse Source Problem for an Oblique Force on an Elastic Plate
,”
J. Acoustical Soc. America
, Vol.
77
, pp.
2005
2011
.
17.
Rizzi, S. A., and Doyle, J. F., 1991, “Force Identification for Impact of a Layered System,” L. E. Schwer and R. F. Kulak, eds., Computational Aspects of Impact and Penetration, pp. 221–241, Elmepress International.
18.
Rizzi
S. A.
, and
Doyle
J. F.
,
1992
, “
A Spectral Element Approach to Wave Motion in Layered Solids
,”
JOURNAL OF VIBRATION & ACOUSTICS
, Vol.
114
, pp.
569
577
.
19.
Rodriguez
M.
, and
Diaz
C.
,
1989
, “
Analysis of the Seismic Performance of a Medium Rise, Waffle Flat Plate Building
,”
Earthquake Spectra
, Vol.
5
, No.
1
, pp.
25
40
.
20.
Rutledge, J. M., Jone, D. R., Chen, W. H., and Chung, E. Y., 1991, “Use of a Massively Parallel SIMD Computer for Reservoir Simulation,” Proc. ASME SPE Symp. Reservoir Simulation, pp. 117–124.
21.
Shames, I. H., and Dym, C. L., 1985, Energy and Finite Element Methods in Structural Analysis, Hemisphere, Washington.
22.
Stricklin
J. A.
,
Haisler
E. E.
,
Tisdale
P. R.
, and
Gunderson
R.
,
1969
, “
A Rapidly Converging Triangular Plate Element
,”
AAIA Journal
, Vol.
7
, No.
1
, pp.
180
181
.
23.
Wiernicki, C. J., 1986, “Damage of Ship Plating Due to Wave Impact Loads,” Proc. 11th Ship Technology & Research Symp., Portland, OR, pp. 151–179.
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