Random vibrations of laminated plates modeled within the first order shear deformation theory

doi:10.1016/0263-8223(89)90084-6

Composite Structures

Volume 12, Issue 2, 1989, Pages 97-111

https://doi.org/10.1016/0263-8223(89)90084-6 Get rights and content

Abstract

This paper deals with the dynamic response of anisotropic laminated composite plates to stationary random excitation. The theory of laminated plates used here includes shear deformation and rotary inertia effects in the same manner as Mindlin's theory for isotropic homogeneous plates. Two cases of random pressure fields are considered in this analysis. In the first case, it is modeled as a uniformly distributed load, random in time with an exponential decaying correlation function, while in the second one as a jet noise, fully correlated in one direction and homogeneous in the perpendicular one. The analysis presented herein, as well as the obtained response characteristics, expressed in terms of mean-squares and angle-dependent mean-squares, may be useful in the design of composite plates subjected to random pressure fields and in the evaluation of their reliability.

References (12)

M. Witt et al.
Dynamic response of laminated plates to random loading
Int. J. Solids and Structures
(1980)
P.C. Yang et al.
Elastic wave propagation in heterogeneous plates
Int. J. Solids and Structures
(1965)
J.M. Whitney et al.
Shear deformation in heterogeneous anisotropic plates
J. Applied Mechanics, Trans. ASME
(1970)
M. Witt
Dynamic response and reliability of laminated plates to random loading
C. Mei et al.
Effects of large deflection and transverse shear on response of rectangular symmetric composite laminates subjected to acoustic excitation
G. Cederbaum et al.
Dynamic response of flat panels made of advanced composite materials subjected to random excitation

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Random vibrations of laminated plates modeled within the first order shear deformation theory

Abstract

Int. J. Solids and Structures

Elastic wave propagation in heterogeneous plates

Int. J. Solids and Structures

Shear deformation in heterogeneous anisotropic plates

J. Applied Mechanics, Trans. ASME

Dynamic response and reliability of laminated plates to random loading

Effects of large deflection and transverse shear on response of rectangular symmetric composite laminates subjected to acoustic excitation

Dynamic response of flat panels made of advanced composite materials subjected to random excitation