模糊随机桁架结构的平稳随机振动分析

研究了具有模糊随机参数的桁架结构在平稳随机激励下的动力响应．同时考虑结构参数的模糊随机性，利用模糊因子法和最优化方法从时域上推导出了结构位移响应的模糊随机相关函数矩阵；进而利用模糊因子法推导出频域上动力响应的模糊随机均方值的表达式，最后用随机变量的矩法和代数综合法推导出了动力响应均方值模糊随机变量的模糊数字特征．通过算例考察了结构参数的模糊随机性对动力响应均方值的模糊随机性的影响，从分析结果中得出了参数的模糊随机性在结构随机振动分析中是不容忽视的结论．

Stationary stochastic vibration analysis of a fuzzy stochastic truss system

The dynamic response of a truss to fuzzy-random changes in design parameters under stationary random excitation is studied in this paper.By simultaneously considering the fuzzy-randomness of structural parameters using the fuzzy factor method and the optimization method,a fuzzy-random correlation function matrix of structural displacement response in the time domain was developed.The fuzzy-random mean square values of the dynamic response in the frequency domain were derived by means of the fuzzy factor method.Finally,the numerical characteristics of fuzzy-random mean square values of the dynamic response were produced using the random variables' moment method and the algebraic synthesis methods.The effect of the fuzzy-randomness of structural parameters on the mean square values of the dynamic responses is illustrated via an example.The results make it clear that the fuzzy-randomness of structural parameters should not be neglected in the analysis of structural random vibration.