A time-variant reliability analysis method based on interval process model
Received:May 13, 2021  Revised:June 15, 2021
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DOI:10.7511/jslx20210513407
KeyWord:time-variant reliability analysis  interval process model  interval K-L expansion  extreme response
              
AuthorInstitution
李金武 湖南大学 汽车车身先进设计制造国家重点实验室, 机械与运载工程学院, 长沙
李金洋 湖南大学 汽车车身先进设计制造国家重点实验室, 机械与运载工程学院, 长沙
姜潮 湖南大学 汽车车身先进设计制造国家重点实验室, 机械与运载工程学院, 长沙
倪冰雨 湖南大学 汽车车身先进设计制造国家重点实验室, 机械与运载工程学院, 长沙
杨刚 湖南大学 汽车车身先进设计制造国家重点实验室, 机械与运载工程学院, 长沙
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Abstract:
      In this paper, a time-variant reliability analysis method based on the interval process model is proposed to deal with problems involving interval variables and interval processes. A reliability index based on the extreme response is first defined to measure the reliability of a structure under uncertainties modeled by interval variables and interval processes. Then a double-loop optimization is developed to calculate the reliability index. In the inner loop, the extreme response with respect to time is calculated using the efficient global optimization method. In the outer loop, an optimization with respect to all input interval variables, including the original ones and those obtained after the series expansion of the input interval processes, is performed to search for the upper and lower bounds of the extreme response. Two examples are used to demonstrate the effectiveness of the proposed method.