Stochastic stability of parametrically excited random systems

被引：0
|
作者：
M. Labou
机构：
[1] State University of Technology,
来源：
International Applied Mechanics | 2004年 / 40卷
关键词：
parametric excitation; stability boundaries; stochastic averaging method; combination resonance; stationary stochastic excitation; parametric resonance; exponentially correlated process; relaxation time; correlation time;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Multidegree-of-freedom dynamic systems subjected to parametric excitation are analyzed for stochastic stability. The variation of excitation intensity with time is described by the sum of a harmonic function and a stationary random process. The stability boundaries are determined by the stochastic averaging method. The effect of random parametric excitation on the stability of trivial solutions of systems of differential equations for the moments of phase variables is studied. It is assumed that the frequency of harmonic component falls within the region of combination resonances. Stability conditions for the first and second moments are obtained. It turns out that additional parametric excitation may have a stabilizing or destabilizing effect, depending on the values of certain parameters of random excitation. As an example, the stability of a beam in plane bending is analyzed.
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页码：1175 / 1183
页数：8
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