Abstract

In this paper, transient three-dimensional response of a transversely isotropic composite plate to a time varying point load is efficiently computed by reducing the elastodynamic equation through integral and coordinate transformations to a series of two-dimensional problems, each associated with a plane wave along a given direction in the plate. Discrete equations of a semi-analytical finite element model are solved for the thickness profile eigendata at a given frequency. Three-dimensional steady state responses in the wave number domain are formed by summing contributions from eigenmodes over propagation directions. The transient response is obtained by a numerical integration of inverse Fourier time transform of these steady state responses. Present results showed good agreement with data reported in the literature and confirmed previously observed phenomena.

1.
Mal
,
A. K.
, 2004, “
Structural Health Monitoring
,”
J. Mech.
0022-2569,
33
, pp.
11
12
.
2.
Liu
,
G. R.
,
Tani
,
J.
,
Ohyoshi
,
T.
, and
Watanabe
,
K.
, 1991, “
Transient Waves in Anisotropic Laminated Plates, Part I: Theory
,”
ASME J. Vibr. Acoust.
0739-3717,
113
, pp.
230
234
.
3.
Liu
,
G. R.
,
Tani
,
J.
,
Ohyoshi
,
T.
, and
Watanabe
,
K.
, 1991, “
Transient Waves in Anisotropic Laminated Plates, Part II: Application
,”
ASME J. Vibr. Acoust.
0739-3717,
113
, pp.
235
239
.
4.
Mal
,
A. K.
, and
Lih
,
S.-S.
, 1992, “
Elastodynamic Response of Unidirectional Composite Plate to Concentrated Surface Loads: Part I
,”
ASME J. Appl. Mech.
0021-8936,
59
, pp.
878
886
.
5.
Lih
,
S.-S.
, and
Mal
,
A. K.
, 1992, “
Elastodynamic Response of Unidirectional Composite Plate to Concentrated Surface Loads: Part II
,”
ASME J. Appl. Mech.
0021-8936,
59
, pp.
887
892
.
6.
Green
,
E. R.
, and
Green
,
W. A.
, 2000, “
A Computational Method for Wave Propagation from a Point Load in an Anisotropic Material
,”
Ultrasonics
0041-624X,
38
, pp.
262
266
.
7.
Lih
,
S. S.
, and
Mal
,
A. K.
, 1995, “
On the Accuracy of Approximating Plate Theories for Wave Field Calculations in Composite Laminates
,”
Wave Motion
0165-2125,
21
, pp.
17
34
.
8.
Banerjee
,
S.
,
Mal
,
A. K.
, and
Prosser
,
W. H.
, 2004, “
Analysis of Transient Lamb Waves Generated by Dynamic Surface Sources in Thin Composite Plates
,”
J. Acoust. Soc. Am.
0001-4966,
115
(
5
), pp.
1905
1911
.
9.
Dong
,
S. B.
, and
Huang
,
K. H.
, 1985, “
Edge Vibrations in Laminated Composite Plates
,”
ASME J. Appl. Mech.
0021-8936,
52
(
2
), pp.
433
438
.
10.
Prosser
,
W. H.
,
Hamstad
,
M. A.
,
Gary
,
J.
, and
O’Gallagher
,
A.
, 1999, “
Comparison of Finite Element and Plate Theory Methods for Modeling Acoustic Emission Waveforms
,”
J. NDE.
,
18
, pp.
83
90
.
11.
Liu
,
G. R.
, and
Achenbach
,
J. D.
, 1995, “
Strip Element Method to Analyze Wave Scattering by Cracks in Anisotropic Laminated Plates
,”
ASME J. Appl. Mech.
0021-8936,
62
, pp.
607
613
.
You do not currently have access to this content.