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 引用本文: 马娟, 陈建军, 黄平, 高伟. 模糊桁架结构在模糊激励下的动力响应分析[J]. 力学学报, 2005, 37(3): 378-384.
Dynamic response analysis of fuzzy truss under fuzzy excitation[J]. Chinese Journal of Theoretical and Applied Mechanics, 2005, 37(3): 378-384.
 Citation: Dynamic response analysis of fuzzy truss under fuzzy excitation[J]. Chinese Journal of Theoretical and Applied Mechanics, 2005, 37(3): 378-384.

## Dynamic response analysis of fuzzy truss under fuzzy excitation

• 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.

Abstract: Not only considering the fuzziness of structuralphysical parameters and geometric dimensions, but also considering fuzzinessof applied load simultaneously, fuzziness of structural dynamic response isstudied in this paper. Firstly, a new method (fuzzy factor method) to dealwith fuzzy variable is proposed. By means of this new method, a fuzzyvariable can be described as its fuzzy main value multiplied by its fuzzyfactor. Secondly, from Duhamel integral, the expressions of structural fuzzydynamic response are deduced by combining mode superposition method withcalculus, fuzzy factor method and interval arithmetic, and membershipfunctions of dynamic response can be derived in the end. To testify thecorrectness and rationality of the model and solution to it given in thispaper, Monte Carlo method is used to simulate the fuzzy structure in theexample. At last, through engineering example, the influences of the fuzzystructural parameters and fuzzy applied load on structural fuzzy dynamicresponse are inspected and some significant conclusions are obtained.

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