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本文应用Ito微分理论导出振动体系受随机荷载作用下的能量反应方程和Fokker-Planck方程。把弱阻尼的单自由度体系的二维马尔柯夫过程简化为一维马尔柯夫过程。最后以线性体系为例讨论了本文提出方法的近似程度。
In this paper, the Ito differential theory is used to derive the energy response equations and Fokker-Planck equations for a vibration system subjected to random loading. The two-dimensional Markov process of a weakly damped single degree of freedom system is reduced to a one-dimensional Markov process. Finally, the linear system is taken as an example to discuss the approximate degree of the proposed method.