This paper presents a study of thickness deformation of the viscoelastic material in constrained layer damping (CLD) treatments. The first goal of the study is to demonstrate the feasibility of using direct measurement to investigate thickness deformation in CLD treatments. The experimental setup consisted of a constrained layer beam cantilevered to a shaker, an accelerometer mounted at the cantilevered end, and two laser vibrometers that simultaneously measured the responses of the base beam and the constraining layer, respectively, at the free end. A spectrum analyzer calculated frequency response functions (FRFs) between the accelerometer inputs and the vibrometer outputs. Measured FRFs of the base beam and the constraining layer were compared to detect thickness deformation. Experimental results showed that direct measurements can detect thickness deformation as low as 0.5 percent. The second goal is to evaluate the accuracy of a mathematical model developed by Miles and Reinhall [7] that accounts for thickness deformation. FRFs were calculated by using the method of distributed transfer functions by Yang and Tan [13]. Comparison of the numerical results with the experimental measurements indicated that consideration of thickness deformation can improve the accuracy of existing constrained layer damping models when the viscoelastic layer is thick.

1.
Swallow, W., 1939, “An Improved Method of Damping Panel Vibrations,” British Patent Specification 513, 171.
2.
Ross, D., Ungar, E., and Kerwin, E. M., 1959, “Damping of Plate Flexural Vibrations by Means of Viscoelastic Laminae,” Structural Damping, Proceedings ASME Colloquium on Structural Damping, pp. 49–88.
3.
DiTaranto
,
R. A.
,
1965
, “
Theory of the Vibratory Bending for Elastic and Viscoelastic Finite Length Beam
,”
ASME J. Appl. Mech.
,
32
, pp.
881
886
.
4.
Mead
,
D. J.
, and
Markus
,
S.
,
1969
, “
The Forced Vibration of a Three-Layer Damped Sandwich Beam with Arbitrary Boundary Conditions
,”
J. Sound Vib.
,
10
, No.
2
, pp.
163
179
.
5.
Trompette
,
P.
,
Boillot
,
D.
, and
Ravanel
,
M. A.
,
1978
, “
The Effect of Boundary Conditions on the Vibration of a Viscoelastically Damped Cantilever Beam
,”
J. Sound Vib.
,
60
, pp.
345
350
.
6.
Shen
,
I. Y.
,
1994
, “
Hybrid Damping Through Intelligent Constrained Layer Treatments
,”
ASME J. Vibr. Acoust.
,
116
, pp.
341
349
.
7.
Miles
,
N. R.
, and
Reinhall
,
P. G.
,
1986
, “
Analytical Model for the Vibration of Laminated Beams Including the Effects of Both Shear and Thickness Deformation in the Adhesive Layer
,”
ASME J. Vibr. Acoust.
,
108
, No.
1
, pp.
56
64
.
8.
Douglas
,
B. E.
, and
Yang
,
J. C. S.
,
1978
, “
Transverse Compressional Damping in the Vibratory Response of Elastic-Viscoelastic-Elastic Beams
,”
AIAA J.
,
16
, No.
9
, pp.
925
930
.
9.
Douglas
,
B. E.
,
1986
, “
Compressional Damping in Three-Layer Beams Incorporating Nearly Incompressible Viscoelastic Cores
,”
J. Sound Vib.
,
104
, No.
2
, pp.
343
347
.
10.
Sylwan
,
O.
,
1987
, “
Shear and Compressional Damping Effects of Constrained Layer Beams
,”
J. Sound Vib.
,
118
, No.
1
, pp.
35
45
.
11.
Chen
,
Y. H.
, and
Sheu
,
J. T.
,
1994
, “
Dynamic Characteristics of Layered Beam with Flexible Core
,”
ASME J. Vibr. Acoust.
,
116
, pp.
350
356
.
12.
Austin
,
E. M.
, and
Inman
,
D. J.
,
1997
, “
Studies on the Kinematic Assumptions for Sandwich Beams
,” Passive Damping and Isolation,
Proceedings SPIE
Smart Structures and Materials,
3045
, pp.
173
183
.
13.
Yang
,
B.
, and
Tan
,
C. A.
,
1992
, “
Transfer Function of One-Dimensional Distributed Parameter System
,”
ASME J. Appl. Mech.
,
59
, pp.
1009
1014
.
14.
Soovere, J., and Drake, M. L., 1985, Aerospace Structures Technology Damping Design Guide Vol. III-Damping Material Data, AF Wright Aeronautical Laboratories, Ohio.
You do not currently have access to this content.