摘要
提出了一种基于三阶矩法的可靠性及参数灵敏度的分析方法,通过将极限状态函数进行Taylor级数展开到二阶,从而考虑了非线性项,并获得了极限状态函数的前三阶矩,根据三阶矩可靠性指标,获得了结构的失效概率,使用梯度算法,建立了可靠性参数灵敏度分析的数学模型。数值算例表明,本文方法可有效地对结构可靠性及参数灵敏度进行分析。
A reliability and parameter sensitivity analysis method based on the first three moments is proposed.By using Taylor series,the limit state function is expanded to the second order which takes the nonlinear term into account.The first three moments of the limit state function are then obtained.According to the reliability index of the third moment method,the failure probability of the structure is obtained.The mathematical model of parameter sensitivity is deduced by gradient method.The proposed method is proved to be effective to analyze the reliability and parameter sensitivity problem by numerical example.
出处
《装备制造技术》
2011年第8期63-66,共4页
Equipment Manufacturing Technology
关键词
三阶矩
可靠性
不确定性
参数灵敏度
优化
the third moment
reliability
uncertainty
parameter sensitivity
optimization
