Nonlinear free vibration analysis of pre-stressed membranes

Abstract

This paper is dedicated to investigate the nonlinear free vibration analysis of prestressed orthotropic membranes. The fundamental frequency of the system is obtained asymptotically by employing a modern analytical approach. The effects of different parameters such as vibration amplitude, initial conditions and geometric parameters on the frequency ratio and nonlinear frequency of membrane are investigated. Comparison between the obtained results in the present study, the reported results in the literature, and Runge-Kutta fourth-order numerical method verify the strength of the analytical procedure.

Nonlinear vibration of an orthotropic moving membrane

“…Liu et al 12, 13 analysed the damped vibration and nonlinear dynamics of a prestressed orthotropic membrane structure subjected to impact loading, and numerically calculated its nonlinear vibration response. 14,15 Ahmadi 16 studied nonlinear vibrations of prestressed orthotropic membranes. Zheng et al 17 developed the mean square value function of orthotropic membranes with random impact load.…”