非线性随机动态响应的高效模拟方法  

Efficient Simulation Procedures for Stochastic Analysis of Nonlinear Dynamical Systems

作　　者：张书俊[1] 任钧国[1] 

机构地区：[1]国防科技大学航天与材料工程学院,湖南长沙410073

出　　处：《国防科技大学学报》2006年第1期117-120,共4页Journal of National University of Defense Technology

摘　　要：提出了一种分析多自由度非线性系统在随机激励下响应的高效模拟方法。该方法以蒙特卡罗方法为基础,针对动态问题,建立了有效的重要性判别准则,采用俄罗斯轮盘赌与分裂方法来处理响应样本,增加了样本在低失效概率区域出现的几率,提高了模拟效率。通过两个算例表明,该方法操作简单,可以大大地减少计算量,能够适用于实际的工程问题。An efficient simulation procedure for stochastic analysis of nonlinear dynamical systems with multi-degree freedom based on Monte Carlo simulation （MCS） is presented. A simple criterion was established for indicating the importance of each dynamical response sample. According to this criterion, Russian Roulette and Split （RRS） method was applied to deal with the selected samples. The efficiency of this algorithm was much higher than that of direct MCS while the number of response samples in the low probability regions was increased. The result of evaluated examples demonstrates that the methodology presented in this paper has the advantage of being simple in operation, thus applicable to realistic engineering calculation.

关 键 词：随机响应 数值模拟 动态系统 非线性 

分 类 号：O342[理学—固体力学]