Integral equation technique using normal mode method for nonlinear random vibration of clamped rectangular plates

In the present paper the authors have illustrated the application of the integral equation technique combined with modal superposition method for the nonlinear random analysis using equivalent linearization procedure. For this an all edges clamped isotropic rectangular plate is considered. It is subjected to stationary Gaussian white noise (zero mean) excitation which is random in time and deterministic (uniformly distributed) in space. Chu-Herrmann equations for large deflection of plates in terms of the displacements are solved. The results obtained have been compared with the ones in existing literature. A parametric study has also been conducted for different aspect ratios of the plate. © 1990.