Dynamic response of pre-stressed orthotropic circular membrane under impact load

Abstract

In this paper, the governing equations of motion of pre-stressed orthotropic circular membrane under impact load are derived in polar coordinates based on the principle of virtual displacement and solved by the Krylov–Bogoliubov–Mitropolsky perturbation method. The analytical solutions of the displacement, speed, acceleration and frequency of circular membrane with fixed edges are obtained. Then the dynamic response of membrane is experimentally studied by using a new pneumatic experimental system. A comparison between the experimental and theoretical results validates the theoretical model and the vibration principles of membrane under different conditions. The results also indicate the relationship between dynamic response of membrane and various parameters related to radius, elastic modulus, pretention force, and load. This study provides a theoretical model to calculate the dynamic response of pre-stressed orthotropic circular membrane under impact load. In addition, a new pneumatic experimental system to study the dynamic response of pre-stressed membrane is developed as well.