Linear response of an elastic plate to actual random load

Generalized harmonic analysis was applied to solve the linear response problem of vibrating elastic plates with damping under stochastic pressure. The power spectral density of the external pressure was taken to be of a typical peaked shape resembling actual physical conditions. The spatial correlation of pressure over the plate area was taken to be unity. Results give the cross-correlation functions for the acceleration and stresses in terms of the mean-square value of the load and the characteristic constants used to describe the power spectral density curve. For the centres of rectangular plates with simply-supported and built-in edges dimensionless response autocorrelation functions are plotted. © 1970 Springer-Verlag.