Stability and Chaotic Response of Elastic plate with large deflection

This study tends to investigate the stability and bifurcation of a nonlinear elastic rectangular plate of large deflection under various loading conditions and system parameters. An analytical mode is established with the Galerkin principle. The chaotic response of the plate is investigated theoretically and numerically. The results of theoretical bifurcation analysis are numerically verified with the consideration of vibration stability of the plate. The stability of the trivial and nontrivial solutions of the system is investigated theoretically and numerically and the conditions for the stability are provided.