模糊随机桁架结构的非平稳随机振动分析  

NON-STATIONARY STOCHASTIC VIBRATION ANALYSIS OF FUZZY-RANDOM TRUSS SYSTEM

作　　者：马娟[1] 徐亚兰[1] 崔明涛[1] 高伟[2] 

机构地区：[1]西安电子科技大学机电工程学院,西安710071 [2]新南威尔士大学机械及制造工程学院,悉尼NSW2052

出　　处：《工程力学》2009年第2期27-32,共6页Engineering Mechanics

基　　金：陕西省自然科学基金项目(2005A009)

摘　　要：利用一种新的双因子法研究了模糊随机桁架结构的非平稳随机振动问题。同时考虑结构物理参数和几何尺寸的模糊随机性,首先从时域上推导出了位移响应的模糊随机相关函数矩阵;进而得出了位移和应力响应在频域上的模糊随机均方值,并用随机变量的矩法得到了结构响应均方值模糊随机变量的模糊数字特征。最后用算例验证了该方法的可行性。The non-stationary stochastic vibration of truss system with fuzzy random parameters is analyzed with a new two-factor-method. Considering the fuzzy-randomness of the structural physical parameters and geometric dimensions simultaneously, this paper develops fuzzy-random correlation function matrix of the displacement response in time domain, and then obtains the fuzzy-random mean square values of the displacement and stress in frequency domain. The fuzzy numerical characteristics of the fuzzy-random mean square values of the structural response are also obtained by the random variables＇ moment method. Finally, the feasibility of the proposed method is verified via an engineering example.

关 键 词：非平稳随机振动 模糊随机桁架结构 位移响应的模糊随机相关函数矩阵 结构响应的均方值 模糊数字特征 

分 类 号：O324[理学—一般力学与力学基础]