北京航空航天大学学报 ›› 2010, Vol. 36 ›› Issue (8): 887-891.

• 论文 • 上一篇    下一篇

基于测量数据的不确定性结构分析的模糊理论

王晓军, 杨海峰, 邱志平, 宋微波   

  1. 北京航空航天大学 航空科学与工程学院, 北京 100191
  • 收稿日期:2009-07-02 出版日期:2010-08-30 发布日期:2010-09-07
  • 作者简介:王晓军(1978-), 男, 陕西岐山人, 副教授, XJWang@buaa.edu.cn.
  • 基金资助:

    国家自然科学基金资助项目(10872017); 高等学校学科创新引智计划项目(B07009); 凡舟青年科研基金资助项目(20080503)

Fuzzy theory for uncertain structural analysis based on measurement data

Wang Xiaojun, Yang Haifeng, Qiu Zhiping, Song Weibo   

  1. School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
  • Received:2009-07-02 Online:2010-08-30 Published:2010-09-07

摘要: 针对不确定性结构力学问题,提出了基于测量数据的模糊分析方法.该方法利用差值因子构造了不确定参数的隶属度函数,对不确定参数的有限个分散数据进行不确定性描述和定量化处理,估计出其真值估计和区间估计,将其运用到不确定性结构力学问题的模糊有限元分析中,以求得结构的不确定性响应.最后以十杆桁架结构为例,运用该方法对结构的不确定响应进行了分析,仿真结果验证了该方法的有效性.

Abstract: Based on the measurement data,a fuzzy analysis method was proposed to deal with the problems of uncertain structural mechanics. A new membership function of the uncertain parameters was constructed by utilizing the difference coefficient, and then a finite number of scattered data points of the uncertain parameters were described as fuzzy parameters and quantified by this method. The true values and the probable intervals for them were estimated, which were applied into the fuzzy finite element analysis of structural mechanics to obtain the uncertain response of the structure.A 10-bar truss structure with parametric uncertainties was used to analyze the uncertain response by the presented method.Numerical results illustrate its feasibility and validity.

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