留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

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

王晓军, 杨海峰, 邱志平, 等 . 基于测量数据的不确定性结构分析的模糊理论[J]. 北京航空航天大学学报, 2010, 36(8): 887-891.
引用本文: 王晓军, 杨海峰, 邱志平, 等 . 基于测量数据的不确定性结构分析的模糊理论[J]. 北京航空航天大学学报, 2010, 36(8): 887-891.
Wang Xiaojun, Yang Haifeng, Qiu Zhiping, et al. Fuzzy theory for uncertain structural analysis based on measurement data[J]. Journal of Beijing University of Aeronautics and Astronautics, 2010, 36(8): 887-891. (in Chinese)
Citation: Wang Xiaojun, Yang Haifeng, Qiu Zhiping, et al. Fuzzy theory for uncertain structural analysis based on measurement data[J]. Journal of Beijing University of Aeronautics and Astronautics, 2010, 36(8): 887-891. (in Chinese)

基于测量数据的不确定性结构分析的模糊理论

基金项目: 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)
详细信息
    作者简介:

    王晓军(1978-), 男, 陕西岐山人, 副教授, XJWang@buaa.edu.cn.

  • 中图分类号: O 342

Fuzzy theory for uncertain structural analysis based on measurement data

  • 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.

     

  • [1] Falsone G,Impollonia N.A new approach for the stochastic analysis of finite element modeled structures with uncertain parameters [J].Computer Methods in Applied Mechanics and Engineering,2002,191(44):5067-5085 [2] Ghanem R G,Spanos P D.Stochastic finite elements:a spectral approach [M].Berlin:Springer,1991 [3] Ben-Haim Y,Elishakoff I.Convex models of uncertainty in applied mechanics [M].Amsterdam:Elsevier Science Publisher,1990 [4] 邱志平.非概率集合理论凸方法及其应用[M].北京:国防工业出版社,2005 Qiu Zhiping.Convex method based on non-probabilistic set-theory and its application [M].Beijing:National Defence Industry Press,2005(in Chinese) [5] 邱志平,王晓军.不确定性结构力学问题的集合理论凸方法[M].北京:科学出版社,2008 Qiu Zhiping,Wang Xiaojun.Convex method based on set-theory for uncertain structural mechanics problems [M],Beijing:Science Publishing Company Press,2008(in Chinese) [6] Chen Suhuan,Lian Huadong,Yang Xiaowei.Interval static displacement analysis for structures with interval parameters [J].International Journal for Numerical Methods in Engineering,2002,53(2):393-407 [7] Zadeh L A.Fuzzy sets[J].Information and Control,1965(8):338-353 [8] 吕震宙,岳珠峰.模糊随机可靠性的统一模型[J].力学学报,2004,36(5):533-539 Lu Zhenzhou,Yue Zhufeng.Unified reliability model for fuzziness and randomness of the basic variables and state variables in structure [J].Chinese Journal of Theoretical and Applied Mechanics,2004,36(5):533-539(in Chinese) [9] 陈建军,江涛,张驰江.随机结构功能模糊性的定量分析[J].北京航空航天大学学报,2007,33(3):345-349 Chen Jianjun,Jiang Tao,Zhang Chijiang.Qualitative and quantitative analysis of fuzziness for stochastic structure performance [J].Journal of Beijing University of Aeronautics and Astronautics,2007,33(3):345-349(in Chinese) [10] Elishakoff I.Three versions of the FE method based on concepts of either stochasticity,fuzziness or anti-optimization[J].Applied Mechanics Reviews,1998,51(3):209-218 [11] 邱志平,刘正权.含模糊参数振动系统的Taylor级数展开法[J].北京航空航天大学学报,2005,31(12):1342-1346 Qiu Zhiping,Liu Zhengquan.Taylor series expansion method for vibration system with fuzzy parameters [J].Journal of Beijing University of Aeronautics and Astronautics,2005,31(12):1342-1346 (in Chinese) [12] Jiang Qimi,Chen Chun-Hsien.A numerical algorithm of fuzzy reliability [J].Reliability Engineering and System Safety,2003,80(3):299-307
  • 加载中
计量
  • 文章访问数:  3264
  • HTML全文浏览量:  223
  • PDF下载量:  1443
  • 被引次数: 0
出版历程
  • 收稿日期:  2009-07-02
  • 网络出版日期:  2010-08-30

目录

    /

    返回文章
    返回
    常见问答