A dependent stress–strength interference model based on mixed copula function

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• 作者：Jianxiong Gao ; Zongwen An ; Bo Liu
• 关键词：Stress–strength interference ; Reliability ; Dependence ; Copula function ; Parameter estimation
• 刊名：Journal of Mechanical Science and Technology
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：30
• 期：10
• 页码：4443-4446
• 全文大小：873 KB
• 刊物类别：Engineering
• 刊物主题：Mechanical Engineering
  Structural Mechanics
  Control Engineering
  Industrial and Production Engineering
  
• 出版者：The Korean Society of Mechanical Engineers
• ISSN：1976-3824
• 卷排序：30

文摘

In the traditional Stress–strength interference (SSI) model, stress and strength must satisfy the basic assumption of mutual independence. However, a complex dependence between stress and strength exists in practical engineering. To evaluate structural reliability under the case that stress and strength are dependent, a mixed copula function is introduced to a new dependent SSI model. This model can fully characterize the dependence between stress and strength. The residual square sum method and genetic algorithm are also used to estimate the unknown parameters of the model. Finally, the validity of the proposed model is demonstrated via a practical case. Results show that traditional SSI model ignoring the dependence between stress and strength more easily overestimates product reliability than the new dependent SSI model.