平稳随机过程激励下模糊随机梁的动力响应分析

基于梁结构几何尺寸和物理参数客观存在的模糊随机性,对时域上的结构位移响应的模糊随机相关函数矩阵以及频域上结构位移动力响应的模糊随机均方值分别进行理论推导,再通过随机变量的矩法对结构应力响应模糊随机均方值的数字特征值进行推导.最后通过一个12杆算例对所提理论的适用性进行了验证.结果表明,在对结构动力响应进行分析时,其参数的不确定性的影响不能忽略.

Dynamic analysis of fuzzy-random beam under stationary stochastic excitation

On the probability and the fuzzy sets theory, a two-factor method is presented to characterize the first-type of fuzzy-random variables, and the method is then used to analyze the dynamic response of fuzzy-random beam with the stationary stochastic excitation. The fuzzy-random correlation function matrix of structural displacement response in time domain as well as the fuzzy-random mean square values of structural dynamic response in frequency domain are derived in this paper with the structural physical parameters and geometric dimensions for the beam are fuzzy-random. So the fuzzy numerical characteristics of dynamic responses are then addressed based on the theory. The validity of the method presented is verified and illustrated via an engineering example, and results displays that the uncertainty of structural parameters should not be neglected during the analysis of the structural dynamic response.