Исследование динамической устойчивости многослойных пластин с отверстиями

Abstract

The article proposes a numerically-analytical method for studying laminated plates with a complicated shape of the plan. Due to the application of R-function theory in combination with variational methods the investigation of the motion equation is reduced to studying ordinary differential equation of the Duffing type. The software was created within the framework of the POLE-RL package and tested on the example of a rectangular three-layer plate with a cross-shaped hole. Various types of fastening are considered, such as a free plate with a free hole, a free-standing plate with a free hole, a free-standing plate with a clamped hole, and a clamped plate with a clamped hole. The effect of the hole size, boundary conditions and the degree of orthotropy on the value of the critical load and dynamic stability zones is studied.