Investigation of the Problems of Durability of Orthotropic Polygonal Plates under Broadband Acoustic Exposure Taking into Account the Effects of Radiation

Abstract

The article considers the problems of calculating the durability of orthotropic polygonal plates, described in the framework of the Kirchhoff theory and subjected to acoustic action with a wide spectrum, taking into account the effects of sound re-emission. A hybrid numerical-analytical method for solving the problem is proposed, based on the determination of the eigenmodes and vibration frequencies of the plate using the finite element method (FEM) with the subsequent calculation of the moments of the spectral density of rms stresses using the 5th order Gaussian quadratures. The article calculates the durability of a polygonal orthotropic fiberglass plate using four different methods (intersection method, Kowalewski method, Bolotin method and Reicher method) with a diffuse distribution of the sound field over the plate surface and random broadband acoustic exposure.