Harichandran, R. S., and Naja, M. (1997). "Random vibration of
laminated composite plates with material non-linearity."
International Journal of Non-Linear Mechanics, 32(4),
707-720.
Abstract
Structural components in space vehicles, aircraft, automobiles, etc.,
that are made of filamentary composite laminae are usually subjected to
stochastic loads. Composite laminae have strongly anisotropic
properties and display significantly non-linear behavior when loaded in
shear or along directions different from those of the filaments. The
method of equivalent linearization is used in conjunction with the
finite element method to perform non-linear random vibration analysis of
laminated composite plates. An approximate, but sufficiently accurate,
series representation of the non-linear shear stress-strain law is used
to facilitate the formulation. Kirchhoff plate theory is used and hence
transverse shear deformation is neglected. The random vibration analysis
was found to be significantly more cost-effective than deterministic
simulation.