不确定性结构区间分析的改进MonteCarlo方法梁震涛.pdfVIP

19 6 © Vol. 19 No. 6 2007 3 Journal of System Simulation Mar., 2007 Monte Carlo (, 710071) Monte Carlo Monte Carlo Monte Carlo Monte Carlo TB12; O39 A 1004-731X (2007) 06-1220-04 Improved Monte Carlo Method for Interval Analysis of Uncertain Structures LIANG Zhen-tao, CHEN Jian-jun, WANG Xiao-bing (School of Electromechanical Engineering, Xidian University, Xi’an 710071, China) Abstract: The uncertain problems in engineering can be solved by using interval, probabilistic or fuzzy theories. Interval analysis is used to model the uncertainty in the static structural analysis. By representing the uncertain parameters as interval numbers, the governed equations of the structural system were obtained by means of the interval finite element method. The interval finite element governed equations were solved by the Monte Carlo numerical simulation method. And the displace responses and stress responses were obtained. An improved Monte Carlo numerical simulation method was proposed for improving the performance of common Monte Carlo method. Numerical examples are presented to illustrate the feasibility and validity of the method. Improved Monte Carlo method for solving the interval equations is easy to implement. High accuracy solutions can be gotten by this method. And the overestimation which is the major drawback of interval analysis is overcome. Key words: uncertainty; interval analysis; Monte Carlo method; numerical simulation method; interval finite element method