【摘要】 本文在Fokker-Planck方程的基础上,把非高斯矩方法推广到更具有一般性的非线性系统,用来研究非线性系统对高斯白噪声激励的响应。此法是一种有实用价值的方法。它对系统的非线性没有限制,而且,适用于平稳和非平稳情况。对本质非线性问题,仍能达到较高的精度,数值计算也是方便的。更多还原

【Abstract】 This paper is about the extension of npn-gaussian moment method to more general nonlinear systems in teams of the Fokker-Planck equation, this extended method is applied to study the random responses of nonlinear systems subject to Gaussian white noise excitation. Non-Gaussian moment method is of pratical value. It has no restriction on the nonlinearities of systems and can be used in stationary and non-stationary cases. Even for the problem of nature non-linearity, the more accurate approximation can be obtained. . In addition, the numerical calculations are convenient.更多还原