Improved equivalent plane method in system reliability computation
Received:March 23, 2008  
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DOI:10.7511/jslx20101023
KeyWord:system reliability  equivalent plane method  failure mode  parallel system  series system
        
AuthorInstitution
康海贵 大连理工大学 海岸和近海工程国家重点实验室,大连
张晶 大连理工大学 海岸和近海工程国家重点实验室,大连
张小庆 郑州市人民政府重点项目建设管理办公室,郑州
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Abstract:
      The reliability computation is a complicated problem for a structural system with multi-failure modes. It is difficult to get the computational results directly, and an approximate method is usually used. If the correlativity between failure modes is very weak, some approximate methods can be found to calculate the system reliability and the calculation accuracy can be quite good. But, if the correlativity between failure modes is quite high, the calculation errors by these methods are usually very big. The original equivalent plane method (EPM) is only used to calculate the parallel system reliability, by which the iteration method is required and the calculation errors are usually quite big. In this paper, an analysis formula of equivalent plane method for calculating the series system reliability is derived firstly, and then an improved equivalent plane method (IEPM) is put forward. The improved equivalent plane method can be used to calculate both series system and parallel system failure probabilities. By using this new method, the problem of calculation accuracy for the system reliability computation with high correlativity between failure modes is solved very well. A large number of calculation examples and comparison, show that this new method has quite high precision for the system reliability computation with high correlativity between failure modes.