A Novel Time-Variant Reliability Analysis Method Based on Failure Processes Decomposition for Dynamic Uncertain Structures
A Novel Time-Variant Reliability Analysis Method Based on Failure Processes Decomposition for Dynamic Uncertain Structures
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DOI：
10.1115/1.4039387
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发表时间：
2018-05
影响因子：
3.3
通讯作者：
Shuijuan Yu;Zhonglai Wang
中科院分区：
文献类型：
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作者：
Shuijuan Yu;Zhonglai Wang
由于设计、制造和工况参数的不确定性和动态性，许多工程结构通常表现出不确定性和动态特性。本文提出了一种新颖的时变可靠性分析方法，利用失效过程分解将动态不确定结构的时变可靠性问题转化为时不变可靠性问题。这种转变是通过两阶段故障过程分解来实现的。首先，基于故障过程分解第一阶段的优化时间点，将具有高维输入变量和高阶时间参数的极限状态函数转换为时间的二次函数。基于二次函数和可靠性准则的特点，在第二阶段将时变可靠性问题转化为时不变系统可靠性问题。最后采用核密度估计方法进行系统可靠性评估。通过几个例子证明了该方法在计算效率和准确性方面的有效性。
Due to the uncertain and dynamic parameters from design, manufacturing and working conditions, many engineering structures usually show uncertain and dynamic properties. This paper proposes a novel time-variant reliability analysis method using failure processes decomposition to transform the time-variant reliability problems to the time-invariant ones for dynamic uncertain structures. The transformation is achieved via two-stage failure processes decomposition. The limit state function with high dimensional input variables and high order temporal parameters is first transformed to a quadratic function of time based on the optimized time point in the first stage of failure processes decomposition. Based on the characteristics of the quadratic function and reliability criterion, the time-variant reliability problem is then transformed to a time-invariant system reliability problem in the second stage. The kernel density estimation method is finally employed for the system reliability evaluation. Several examples are used to testify the effectiveness of the proposed method both in computational efficiency and accuracy.