随机激励下一类包装振动系统的随机平均

Stochastic averaging of packaging oscillatory system under stochastic excitation

对一类在拟周期和随机联合激励作用下的杜芬系统使用标准随机平均法,求取平均方程的扩散和漂移系数,并推导出系统在非共振与共振情形下的FPK方程。

The paper discussed a packaging oscillatory system excited by the Gaussian white noise. By employing the standard stochastic averaging method, the drift and the diffusion coefficients of the averaging equation were derived. Moreover, the corresponding FPK equations in the non - resonant and the resonant eases of the system were also presented based on the stochastic averaging method.