基于单元重要度分析的失效路径确定方法
发布时间：2018-11-17 10:34
【摘要】：在大型复杂结构中枚举失效路径为NP-hard问题,工程可靠度分析及优化只能关注结构中具有代表性的部分失效路径。传统失效路径搜索方法多基于最弱链条理论,首失效单元取决于单元可靠度,而不是其失效影响,找到的可能是冗余单元,对应的失效路径在结构体系失效模式中不具代表性。本文依据单元失效导致的结构能量变化梯度和各单元传递荷载两种方法分别确定各单元在结构体系失效中的重要度,由单元重要度确定系统的首失效单元及其失效路径。分析表明:基于关键单元得到的失效路径更具代表性,因为其失效概率远大于传统失效路径的失效概率。通过单元近似传递荷载判定的最关键单元与单元对应的能量变化梯度得到的结果一致,是一种合理、便捷的简化近似分析方法。
[Abstract]:Enumerating failure paths in large and complex structures is a NP-hard problem. Engineering reliability analysis and optimization can only focus on the representative partial failure paths. The traditional failure path search method is based on the weakest chain theory, and the first failure element depends on the reliability of the unit, not its failure effect, and the redundant element may be found, and the corresponding failure path is not representative in the failure mode of the structure system. In this paper, based on the structural energy gradient caused by element failure and the transfer load of each element, the importance of each element in structural system failure is determined, and the first failure element and its failure path are determined by element importance. The analysis shows that the failure path based on the key elements is more representative because the failure probability is much larger than that of the traditional failure path. The results of the most critical element determined by the element approximate transfer load are consistent with the energy gradient corresponding to the element. It is a reasonable and convenient method to simplify the approximate analysis.
【作者单位】： 上海大学土木工程系;
【基金】：国家自然科学基金面上项目(11272200)
【分类号】：TB114.3;TU31
本文编号：2337467
[Abstract]:Enumerating failure paths in large and complex structures is a NP-hard problem. Engineering reliability analysis and optimization can only focus on the representative partial failure paths. The traditional failure path search method is based on the weakest chain theory, and the first failure element depends on the reliability of the unit, not its failure effect, and the redundant element may be found, and the corresponding failure path is not representative in the failure mode of the structure system. In this paper, based on the structural energy gradient caused by element failure and the transfer load of each element, the importance of each element in structural system failure is determined, and the first failure element and its failure path are determined by element importance. The analysis shows that the failure path based on the key elements is more representative because the failure probability is much larger than that of the traditional failure path. The results of the most critical element determined by the element approximate transfer load are consistent with the energy gradient corresponding to the element. It is a reasonable and convenient method to simplify the approximate analysis.
【作者单位】： 上海大学土木工程系;
【基金】：国家自然科学基金面上项目(11272200)
【分类号】：TB114.3;TU31
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