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非线性随机振动的改进的非高斯闭合法
引用本文:刘任先.非线性随机振动的改进的非高斯闭合法[J].河南科技大学学报(自然科学版),1992(3).
作者姓名:刘任先
作者单位:洛阳工学院机设系
摘    要:本文推导了由累积量表示的概率密度展式,这种展式不同于其它文章里的Edgeworth展式。借助于这一展式任何多维系统的概率密度展式都能很容易地写出。本文还推导了具有一般形式的累积量方程。

关 键 词:非线性振动  随机振动  非高斯闭合法

An Improved Non-Gaussian Closure Approach for Non-linear Random Vibration
Liu Renxian.An Improved Non-Gaussian Closure Approach for Non-linear Random Vibration[J].Journal of Henan University of Science & Technology:Natural Science,1992(3).
Authors:Liu Renxian
Institution:Department of Machine Engineering Design
Abstract:In this paper the expansion of probability density represented by the cumulants was derived, which is different from the Edgeworth expansion shown in the other paper,and by means of this expansian the expression of probability density of any multi-dimensional system can easily be obtained. The cumulant equation having generalized form was also derived in the paper.
Keywords:Non-linear vibration Radom vibration Non-Gaussian closure approach
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