Dynamic response analysis of fuzzy truss under fuzzy excitation
模糊桁架结构在模糊激励下的动力响应分析

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.