模糊桁架结构在模糊激励下的动力响应分析  

DYNAMIC RESPONSE ANALYSIS OF FUZZY TRUSS UNDER FUZZY EXCITATION

作　　者：马娟[1] 陈建军[1] 黄平[1] 高伟[1] 

机构地区：[1]西安电子科技大学机电工程学院,西安710071

出　　处：《力学学报》2005年第3期378-384,共7页Chinese Journal of Theoretical and Applied Mechanics

基　　金：陕西省自然科学基金资助项目(D7010418)

摘　　要：研究了模糊参数桁架结构在模糊荷载激励下的动力响应分析问题.不仅模糊桁架结构的物理参数、几何尺寸具有模糊性,而且外载荷幅值也具有模糊性时,从Duhamel积分式出发,利用模糊因子法、区间运算和振型叠加法求出了结构动力响应模糊变量的表达式.最后通过算例考察了结构参数和作用荷载的模糊性对结构动力响应的影响,表明所提出的计算模型和分析方法是正确与可行的.Not only considering the fuzziness of structural physical parameters and geometric dimensions, but also considering fuzziness of applied load simultaneously, fuzziness of structural dynamic response is studied in this paper. Firstly, a new method (fuzzy factor method) to deal with fuzzy variable is proposed. By means of this new method, a fuzzy variable can be described as its fuzzy main value multiplied by its fuzzy factor. Secondly, from Duhamel integral, the expressions of structural fuzzy dynamic response are deduced by combining mode superposition method with calculus, fuzzy factor method and interval arithmetic, and membership functions of dynamic response can be derived in the end. To testify the correctness and rationality of the model and solution to it given in this paper, Monte Carlo method is used to simulate the fuzzy structure in the example. At last, through engineering example, the influences of the fuzzy structural parameters and fuzzy applied load on structural fuzzy dynamic response are inspected and some significant conclusions are obtained.

关 键 词：桁架结构 动力响应分析 激励 结构动力响应 振型叠加法 模糊性 物理参数 分析问题 模糊参数 几何尺寸 结构参数 模糊变量 区间运算 计算模型 外载荷 积分式 因子法 表达式 荷载 幅值 

分 类 号：TU323.4[建筑科学—结构工程] TU311.3