【作者】 黄东卫； 王洪礼；

【Author】 Huang Dong-wei~1 Wang Hong-li~2 1.School of Science,Tianjin Polytechnic University,Tianjin 300160,China 2.School of Mechanical Engineering,Tianjin University,300072,China

【机构】 天津工业大学理学院； 天津大学机械工程学院；

【摘要】 增维精细积分法是计算非线性动力系统数值解的有效方法之一。本文针对受到零均值 Gauss 白噪声激励的非线性动力系统,将 Monte-Carlo 法与增维精细积分法相结合,提出随机增维精细积分法,用于计算非线性随机动力系统的数值解,并通过应用实例,说明了该算法对非线性随机动力系统在数值计算与数字模拟上的有效性。更多还原

【Abstract】 The increment-dimensional precise integrate method is one of the efficient methods to calculate the numerical solution of the nonlinear dynamic system.This paper aims at the nonlinear dynamic system which under the zero mean Gauss white noise and creates stochastic increment-dimensional precise integrate method.Our method combines the Monte-Carlo method and the increment-dimensional precise integrate method to calculate the numerical solution of the nonlinear stochastic dynamic system. The examples of application was presented to indicate the validity and efficiency of the method for numerical calculate and numerical simulation in nonlinear dynamic system.更多还原