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一强非线性随机振荡系统的路径积分解 被引量:3

PATH INIEGRAL SOLUTION OF A STRONGLY NONLINEAR STOCHASTIC OSCILLATION SYSTEM
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摘要 应用数值路径积分解法计算了一强非线性随机动力系统的响应统计。该数值路径积分法是基于隐式的高斯-勒让德插值程序,而且概率密度的值是在子区间内的高斯积分点上获得的。查阅文献显示这是首次单独应用这种路径积分法来处理强非线性随机振荡系统问题。 The response statistics of a strongly nonlinear stochastic dynamic system is calculated by using a numerical path integral solution method.The numerical path integral solution is based on the implicit Gauss-Legendre interpolation scheme,and the values of the probability density are obtained at the Gauss quadrature points in sub-intervals.
出处 《振动与冲击》 EI CSCD 北大核心 2007年第11期153-155,162,共4页 Journal of Vibration and Shock
关键词 随机过程 高斯白噪声 概率密度 随机振动 stochastic process Gaussian white noise probability density random vibration
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