【摘 要】
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A stochastic nonlinear dynamical model is proposed to describe the vibration of rectangular thin plate under axial inplane excitation considering the influence
【机 构】
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School of Mechanical Engineering
论文部分内容阅读
A stochastic nonlinear dynamical model is proposed to describe the vibration of rectangular thin plate under axial inplane excitation considering the influence of random environment factors.Firstly, the model is simplified by applying the stochastic averaging method of quasi-nonintegrable Hamilton system.Secondly, the methods of Lyapunov exponent and boundary classification associated with diffusion process are utilized to analyze the stochastic stability of the trivial solution of the system.Thirdly, the stochastic Hopfbifurcation of the vibration model is explored according to the qualitative changes in stationary probability density of system response, showing that the stochastic Hopf bifurcation occurs at two critical parametric values.Finally, some explanations are given in a simple way on the potential applications of stochastic stability and bifurcation analysis.
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