平稳随机激励下随机桁架结构动力可靠性分析

研究了随机桁架结构在平稳随机激励下的动力可靠度求解方法。同时考虑结构物理参数、几何尺寸的随机性,利用求解随机变量数字特征的代数综合法和矩法,从结构随机响应的频域表达式出发,导出了随机桁架结构在平稳随机激励下的位移、应力及其导数响应均方值的数字特征,再由动力可靠性的Poisson公式导出了结构动力可靠度的计算公式。通过算例分析了各参数的随机性对结构动力可靠度的影响,验证了该方法的可行性和有效性。

Dynamic reliability analysis of stochastic truss structures under stationary random excitation

A method of calculating dynamic reliability of stochastic truss structures under stationary random excitation is discussed in this paper.Considering the randomness of the structural physical parameters and the geometric dimensions parameters and utilizing the random variable's functional moment method and the algebra synthesis method,the mean value and the variance of the mean square value of the structural displacement and stress response and stationary random excitation are computed firstly from the expressions of structural stationary response in frequency domain.And then the expressions of the mean value and the variance of stochastic truss structural dynamic reliability are educed from the Poisson formula of calculating dynamic reliability.Finally,the influence of the random of structural physical and geometric dimensions parameters on the structural dynamic reliability is analyzed through the examples,validating the feasibility of this method.