桥梁结构动力特性的模糊有限元分析  

Analysis of Dynamic Property of Bridge Structures Using Fuzzy Finite Element Method

作　　者：索奇峰[1] 谢尚英[1] 

机构地区：[1]西南交通大学土木工程学院,四川成都610031

出　　处：《公路交通科技》2010年第4期56-59,72,共5页Journal of Highway and Transportation Research and Development

基　　金：国家自然科学基金资助项目(50978221)

摘　　要：在研究模糊有限元分析基本理论以及借鉴前人研究成果的基础上,采用模糊变量表达结构参量的不确定性;并基于区间运算和区间有限元理论,提出了用于求解模糊有限元自由振动方程的1阶泰勒级数展开算法。该算法避免了由于2阶泰勒展开所造成的区间扩张问题,在保证精度的前提下大大减小了计算量;随后又基于APDL语言用大型有限元软件ANSYS进行了二次开发,通过参数化语言的方式实现了该算法。最后以某大跨拱桥为例,在对其刚度和质量进行模糊化的条件下,基于ANSYS软件的二次开发功能采用该算法对算例中拱桥的动力特性进行了模糊有限元计算,从而验证了该算法在实际结构动力设计中的可行性和有效性。Based on the study of the basic theory of fuzzy finite element method （FFEM） and reference to the former researches,the fuzzy parameters were adopted to express the uncertainty of structure parameters,and the first order Taylor series expansion method for solving the fuzzy finite element natural vibration equations was presented based on interval operation and interval finite element theory.This algorithm could avoid the interval extension problem due to the second order Taylor expansion,decrease the calculation workload and keep the precision.The second development with ANSYS based on APDL language was done to carry out this algorithm by parametric description.Finally,the dynamic property of a long span arch bridge with fuzzy stiffness and mass parameters was calculated using the presented algorithm based on the ANSYS second development program,and the result illuminates the feasibility and validity of the method in dynamic design of real bridge structures.

关 键 词：桥梁工程 动力特性 模糊有限元法 一阶泰勒级数 APDL语言 

分 类 号：U441[建筑科学—桥梁与隧道工程]