A Partition Expansion Method for Nonlinear Response Analysis of Stochastic Dynamic Systems With Local Nonlinearity

被引:1
作者
Bai, Changqing [1 ]
Zhang, Hongyan [2 ]
机构
[1] Xi An Jiao Tong Univ, Sch Aerosp, State Key Lab Strength & Vibrat Mech Struct, Xian 710049, Peoples R China
[2] Changan Univ, Sch Sci, Xian 710064, Peoples R China
来源
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS | 2013年 / 8卷 / 03期
基金
中国国家自然科学基金;
关键词
nonlinear random response; random dynamic system; nonlinearity; uncertainty; stochastic finite element analysis; Monte Carlo simulation; FINITE-ELEMENT-ANALYSIS; VIBRATION;
D O I
10.1115/1.4023163
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
This paper focuses on the problem of nonlinear dynamic response variability resulting from stochastic system properties and random loads. An efficient and accurate method, which can be employed to analyze the dynamic responses of random finite element systems with local nonlinearity, is presented in this paper. This method, dubbed as the partition expansion method, is based on the partitioned time integration algorithm in conjunction with the Neumann expansion technique within the framework of the Monte Carlo simulation. Two numerical examples involving structural and mechanical stochastic vibration problems are employed to illustrate the advantage of the proposed method with respect to accuracy and efficiency. By comparing the results obtained by the direct Monte Carlo simulation, the dynamic response statistics can be accurately determined using the proposed method with four order expansion while the computational efforts are significantly reduced. The comparison of computing time indicates that the proposed method is efficient and practical for analyzing the statistical quantities of stochastic dynamic systems with local nonlinearity.
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页数:7
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