Published: 30 September 2012

Nonlinear vibration of rectangular plate under the parametric excitation

Weijing Niu1
Nianmei Zhang2
Xiaopeng Yan3
Guitong Yang4
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Abstract

In this paper, the dynamic behavior of rectangular plate under the in-plane load is studied. The partial differential equation based on the mechanical model is established, which will be deduced into two ordinary differential equations by use of Galerkin method. The existence of 1/2 harmonic solutions of the dynamical system applying the harmonic balance method is analyzed. The amplitude-frequency relationship is found, and the stability of solutions is investigated. The stable zone of dynamical system is determined.

About this article

Received
30 April 2012
Accepted
04 September 2012
Published
30 September 2012
Keywords
rectangular plate
nonlinear vibration
dynamics behavior
parametric excitation