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 引用本文: 黄新萍, 姜潮, 韩旭. 针对非线性极限状态方程的时变可靠度分析[J]. 力学学报, 2014, 46(2): 264-272.
Huang Xinping, Jiang Chao, Han Xu. A TIME-VARIANT RELIABILITY ANALYSIS METHOD FOR NON-LINEAR LIMIT-STATE FUNCTIONS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(2): 264-272.
 Citation: Huang Xinping, Jiang Chao, Han Xu. A TIME-VARIANT RELIABILITY ANALYSIS METHOD FOR NON-LINEAR LIMIT-STATE FUNCTIONS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(2): 264-272.

## A TIME-VARIANT RELIABILITY ANALYSIS METHOD FOR NON-LINEAR LIMIT-STATE FUNCTIONS

• 摘要: 提出了一种针对一般非线性极限状态方程的时变结构可靠度分析方法. 该方法首先将时变功能函数中的随机过程进行离散，获得多个不同时间段的静态功能函数. 之后，将各功能函数在最大可能点处进行线性化，并运用全概率公式将其化简为一新的静态可靠度分析模型，该模型可运用传统的一次二阶矩方法进行高效求解.最后通过管状悬臂梁、十杆桁架、汽车发动机主轴3 个算例验证了该方法的有效性.

Abstract: Time-variant reliability problems appear in the engineering practice when loads stochastically change or the material properties of the structure deteriorate in time. In this paper, a time-variant structural reliability analysis method for non-linear limit-state function is presented. In this method, the stochastic process in the limit-state function is first discretized. Each discretized limit-state function is linearized at the most probable point (MPP), and it is further simplified into a time-invariant reliability analysis problem which is then solved by using the traditional first order reliability method (FORM). Three numerical examples are analyzed to demonstrate the effectiveness of the present method.

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