System reliability analysis for mixed uncertain variables
System reliability analysis for mixed uncertain variables
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DOI：
10.1016/j.strusafe.2009.02.001
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发表时间：
2009-01-01
影响因子：
5.8
通讯作者：
Penmetsa, Ravi C.
中科院分区：
文献类型：
--
作者：
Adduri, Phani R.;Penmetsa, Ravi C.
物理系统中的非线性应准确建模，以获得对其安全性的准确估计。根据可用信息的数量和类型，可以使用概率论或可能性理论。在概率论中，参数的变化使用概率密度函数来建模，而在可能性理论中，它使用模糊隶属函数来建模。但是，当处理的概率分布和模糊隶属函数的组合，在估计可靠性的界限所涉及的计算成本呈指数级增加，因为一个可靠性分析，这是一个计算昂贵的程序，在每个可能性水平进行。此外，结构系统的失效由多个极限状态函数控制，所有这些都要考虑以确定其安全性。这些极限状态函数通常是相关的，估计系统可靠性的准确性取决于模拟联合故障表面的能力。为了降低计算成本，而不损失的精度，高品质的功能近似的极限状态和联合破坏面，本文开发。数值算例验证了该方法的有效性和准确性。(C)2009爱思唯尔有限公司版权所有。
Uncertainties in a physical system should be modeled accurately to obtain an accurate estimate of its safety. Based on the amount and type of information available, either probability theory or possibility theory can be used. In probability theory variation in the parameters is modeled using probability density functions and in possibility theory it is modeled using fuzzy membership functions. But when dealing with a combination of both probability distributions and fuzzy membership functions, the computational cost involved in estimating the bounds of reliability increases exponentially because one reliability analysis, which is a computationally expensive procedure, is performed at each possibility level. Moreover, the failure of structural systems is governed by multiple limit-state functions, all of which are to be taken into consideration for determining its safety. These limit-state functions are often correlated and the accuracy of the estimated system reliability is dependent on the ability to model the joint failure surface. To reduce the computational cost involved without loss of accuracy, high quality function approximations for each of the limit-states and the joint failure surface are developed in this paper. Numerical examples are presented to demonstrate the efficiency and accuracy of the proposed methodology. (C) 2009 Elsevier Ltd. All rights reserved.