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Effects of random initial geometric imperfection on non- linear
dynamic response of axisymmetric circular plates sub- jected to
external random pressure are investigated in this thesis using
the Monte Carlo method. Governing equations are those of Von
Karman's moderately large deflection equations of motion for
thin plates, modified to account for an initial geometric
imperfection. Initial imperfection and external pr- ssure are
assumed to be Gaussian random prosses and are simu- lated
numerically. Lindsted-Poincare's perturbation technique is
employed to solve the nonlinear differential equation der- ived
for vibration analysis of imperfect circular plates. The method
of equivalent linearization is applied to obtain an approximate
solution for nonlinear random vibration of the imperfect
circular plates which are axisymmetric wtih postb- uckled
condition. A time domain Monte Carlo method is used for
nonlinear response analysis of imperfect plates for various
boundary conditions. It is shown that the effects of random
geometric imperfections on the vibrational behavior of the
plates can be described quantitatively in terms of the frequ-
ency reliability function and probabilities of both sanp thr-
ough vibration and hard-spring behavior.
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