Vibration and noise reduction in structures can significantly enhance dynamic stability. In fact, exploitation of such mechanisms can lead to an improvement of aerodynamic performance in flight motions by aircrafts, hydrodynamic performance in ocean water navigation by ships or floating structures, as well as dynamic behavior of machine structures in production processes and systems. In this paper slip damping with layered viscoelastic beam-plate structures for dissipation of vibration energy in aircraft, hydrodynamic, and machine structures is investigated analytically. For this problem, a boundary value partial differential equation is formulated via contact mechanics. In particular, the effect of interfacial pressure distribution variation at the interface of the layered structures on the energy dissipation and logarithmic damping decrement with such layered structures is analyzed and presented for design applications. This allows for a better understanding of the selection process of viscoelastic damping materials for such structures.

1.
Lazan
,
B. J.
, 1968,
Damping of Materials and Members in Structural Mechanics
,
Pergamon
,
Oxford
.
2.
Bert
,
C. W.
, 1973, “
Material Damping: An Introductory Review of Mathematical Models. Measures and Experimental Techniques
,”
J. Sound Vib.
0022-460X,
29
, pp.
129
153
.
3.
Ross
,
D.
,
Kerwin
,
E. M.
, and
Ungar
,
E. E.
, 1959, “
Damping of Plate Flexural Vibration by Means of Visco Elastic Laminate
,”
Structural Damping
,
ASME
,
New York
, Sec. 2.
4.
Kerwin
,
E. M.
, 1959, “
Damping of Flexural Waves by a Constrained Viscoelastic Layer
,”
J. Acoust. Soc. Am.
0001-4966,
31
, pp.
392
962
.
5.
Nakra
,
B. C.
, 1998, “
Vibration Control in Machines and Structures Using Visco Elastic Damping
,”
J. Sound Vib.
0022-460X,
211
, pp.
449
465
.
6.
Sun
,
C. T.
, and
Lu
,
Y. P.
, 1995,
Vibration Damping of Structural Elements
,
Prentice-Hall
,
Englewood Cliffs, NJ
.
7.
Garibaldi
,
L.
, and
Onah
,
H. N.
, 1996,
Visco Elastic Material Damping Technology
,
Beechis Osiride
,
Torino, Italy
.
8.
Meador
,
D. J.
, and
Mead
,
D. J.
, 1999,
Passive Vibration Control
,
Wiley
,
New York
.
9.
Rao
,
M. D.
, 2003, “
Recent Applications of Viscoelastic Damping for Noise Control in Automobiles and Commercial Airplanes
,”
J. Sound Vib.
0022-460X,
262
(
3
), pp.
457
474
.
10.
Goodman
,
E.
, and
Klumpp
,
J. H.
1956, “
Analysis of Slip Damping With Reference to Turbine Blade Vibration
,”
ASME J. Appl. Mech.
0021-8936,
23
, pp.
421
429
.
11.
Masuko
,
M.
,
Ito
,
Y.
, and
Yoshida
,
K.
, 1973, “
Theoretical Analysis for a Damping Ratio of Jointed Cantibeam
,”
Bull. JSME
0021-3764,
16
, pp.
1421
1432
.
12.
Nishiwaki
,
N.
,
Masuko
,
M.
,
Ito
,
Y.
, and
Okumura
,
I.
, 1978, “
A Study on Damping Capacity of a Jointed Cantilever Beam (1st Report; Experimental Results)
,”
Bull. JSME
0021-3764,
21
, pp.
524
531
.
13.
Nishiwaki
,
N.
,
Masuko
,
M.
,
Ito
,
Y.
, and
Okumura
,
I.
, 1980, “
A Study on Damping Capacity of a Jointed Cantilever Beam (2nd Report; Comparison Between Theoretical and Experimental Results)
,”
Bull. JSME
0021-3764,
23
, pp.
469
475
.
14.
Motosh
,
M.
, 1975, “
Stress Distribution in Joints of Bolted or Riveted Connections
,”
ASME J. Eng. Ind.
0022-0817,
97
(
1
), pp.
157
161
.
15.
Ferlund
,
I.
, 1961, “
Method to Calculate the Pressure Between Bolted or Riveted Plates
,” Transactions of Chalmers University of Technology, Gothenberg, Sweden, p.
245
.
16.
Greenwood
,
J. A.
, 1964, “
The Elastic Stress Produced in the Mid Plane at a Slab by Pressure Applied Symmetrically at Its Surface
,”
Proceedings of the Cambridge Philosophical Society
,
Cambridge
,
60
, pp.
159
169
.
17.
Lardner
,
T. J.
, 1965, “
Stress Analysis for Thermal Contact Resistance Across Bolted Joints
,”
ASME Trans. J. Appl. Mech.
0021-8936,
32
, pp.
458
459
.
18.
Bradly
,
T. L.
, 1968, “
Stress Analysis for Thermal Contact Resistance Across Bolted Joints
,” MS thesis, Massachusetts Institute of Technology, Cambridge, MA.
19.
Sidorov
,
O. T.
, 1983, “
Change of the Damping of Vibrations in the Course of Operation in Dependence on the Parameters of Bolted Joints
,”
Strength Mater.
0039-2316,
14
, pp.
671
674
.
20.
EL-Zahry
,
R. M.
, 1985, “
Investigation of the Vibration Behaviour of Pre-Loaded Bolted Joints
,”
Dirasat-Eng. Technology
,
12
, pp.
201
223
.
21.
Kaboyashi
,
T.
, and
Matsubayashi
,
T.
, 1986, “
Consideration on the Improvement of the Stiffness of Bolted Joints in Machine Tools
,”
Trans. Jpn. Soc. Mech. Eng., Ser. A
0387-5008,
52
, pp.
1092
1096
.
22.
Kaboyashi
,
T.
, and
Matsubayashi
,
T.
, 1986, “
Consideration on the Improvement of the Stiffness of Bolted Joints in Machine Tools
,”
Bull. JSME
0021-3764,
29
, pp.
3934
3937
.
23.
Tsai
,
J. S.
, and
Chou
,
Y. F.
, 1988, “
Modelling of Dynamic Characteristics of Two-Bolted Joints
,”
J. Chin. Inst. Eng.
0253-3839,
11
, pp.
235
245
.
24.
Shin
,
Y. S.
,
Iverson
,
J. C.
, and
Kim
,
K. S.
, 1991, “
Experimental Studies on Damping Characteristics of Bolted Joints for Plates and Shells
,”
ASME J. Pressure Vessel Technol.
0094-9930,
113
, pp.
402
408
.
25.
Song
,
S.
,
Park
,
C.
,
Moran
,
K. P.
, and
Lee
,
S.
, 1992, “
Contact Area of Bolted Joints Interface: Analytical, Finite Element Modelling and Experimental Study
,”
ASME, EEP
,
3
, pp.
73
81
.
26.
Hansen
,
S. W.
, and
Spies
,
R.
, 1997, “
Structural Damping in Laminated Beams Due to Interfacial Slip
,”
J. Sound Vib.
0022-460X,
204
, pp.
183
202
.
27.
Nanda
,
B. K.
, 1992, “
Study of Damping in Structural Members Under Controlled Dynamic Slip
,” Ph.D. thesis.
28.
Nanda
,
B. K.
, and
Behera
,
A. K.
, 1999, “
Study on Damping in Layered and Jointed Structures With Uniform Pressure Distribution at the Interfaces
,”
J. Sound Vib.
0022-460X,
226
(
4
), pp.
607
624
.
29.
Gould
,
H. H.
, and
Mikic
,
B. B.
, 1972, “
Areas of Contact and Pressure Distribution in Bolted Joints
,”
ASME J. Eng. Ind.
0022-0817,
94
, pp.
864
870
.
30.
Ziada
,
H. H.
, and
Abd
,
A. K.
, 1980, “
Load Pressure Distribution and Contact Areas in Bolted Joints
,”
J. Inst. Eng. (India), Part AG
0257-3431,
61
, pp.
93
100
.
31.
Damisa
,
O.
,
Olunloyo
,
V. O. S.
,
Osheku
,
C. A.
, and
Oyediran
,
A. A.
, 2007, “
Static Analysis of Slip Damping With Clamped Laminated Beams
,”
European Journal of Scientific Research
,
17
(
4
), pp.
455
476
.
32.
Olunloyo
,
V. O. S.
,
Damisa
,
O.
,
Osheku
,
C. A.
, and
Oyediran
,
A. A.
, 2007, “
Further Results on Static Analysis of Slip Damping With Clamped Laminated Beams
,”
European Journal of Scientific Research
,
17
(
4
), pp.
491
508
.
33.
Damisa
,
O.
,
Olunloyo
,
V. O. S.
,
Osheku
,
C. A.
, and
Oyediran
,
A. A.
, 2008, “
Dynamic Analysis of Slip Damping in Clamped Layered Beams With Non-Uniform Pressure Distribution at the Interface
,”
J. Sound Vib.
0022-460X,
309
, pp.
349
374
.
34.
Warburton
,
G. B.
, 1976,
The Dynamical Behaviour of Structures
,
2nd ed.
,
Pergamon
,
Oxford, England
, p.
126
.
35.
Goodman
,
L. E.
, 2002,
Material Damping and Slip Damping
,
Harris Shock and Vibration Handbook
,
5th ed.
,
McGraw-Hill
,
New York
, p.
36.25
.
36.
Damisa
,
O.
, 2003, “
Slip Damping of Timoshenko Beam Close to Resonance
,”
Journal of Engineering Research
,
11
(
1&2
), pp.
13
26
.
You do not currently have access to this content.