摘要
本文研究非线性随机参数激励系统的矩稳定性问题,文中首先采用随机平均法将非线性振动方程变换为伊藤微分方程,然后再利用伊藤微分法则得到各阶矩方程.从而得到一类非线性随机振动系统的矩稳定性条件.作为本文结果的特殊情说与文献[7]中使用矩截断法所得到的结果完全一致.
In this paper, the moment stability of nonlinear random system under parametric excitation is studied. First, bystochastic averaging method, the nonlinear vibration equation istransformed into Ito equation, and then, by Ito differential rule,moment equations are derived. The moment stable condition of atype of vibration systems is obtained. As the special case of re-sulte obtained irt thio paper, the results are in good agreementwith those obtained by moment closure method in reference[7].
关键词
非线性振动
随机振动
激励系统
Nonlinear vibration
Random vibration
Excitation
Systems
Stability
