摘要
研究物理参数具有随机性的刚架结构的平稳随机位移响应动力可靠性的计算方法。考虑结构的物理参数具有随机性,从结构随机响应的频域表达式出发,利用求解随机变量数字特征的代数综合法和矩法,导出随机参数刚架结构在平稳随机激励下的位移及速度响应均方值的数字特征,再由动力可靠性的Poisson公式导出结构动力可靠度的计算公式。通过算例就各参数的随机性对结构动力可靠度的影响进行分析,验证本文方法的可行性。
A method of calculating displacement dynamic reliability of stochastic rigid frames under stationary random excitation is discussed. Considering the randomness of the structural physical 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 response under 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 rigid frames dynamic reliability are educed from the Poisson formula of calculating dynamic reliability. Finally, the influence of the random of structural physical on the structural dynamic reliability is analyzed through the examples, validating the feasibility of this method.
出处
《机械强度》
EI
CAS
CSCD
北大核心
2005年第5期590-593,共4页
Journal of Mechanical Strength
基金
陕西省自然科学基金资助项目(D7010418)。~~
关键词
动力可靠性
随机参数刚架结构
平稳随机激励
随机变量
数字特征
随机因子法
Dynamic reliability
Stochastic rigid frames
Stationary random excitation
Random variable
Nmnerical characteristics
Random factor method
