Sequential reliability-based optimization with support vector machines
Received:March 19, 2012  Revised:July 06, 2012
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DOI:10.7511/jslx201304005
KeyWord:reliability  optimization  support vector machines
        
AuthorInstitution
王宇 南京航空航天大学 航空宇航学院,南京
余雄庆 南京航空航天大学 航空宇航学院,南京
杜小平 密苏里科技大学 机械与航空航天工程系,密苏里州 65409
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Abstract:
      Traditional reliability-based design optimization (RBDO) is either computational intensive or not accurate enough.In this work,a new RBDO method based on Support Vector Machines (SVM) is proposed.For reliability analysis,SVM is used to create a surrogate model of the limit-state function at the Most Probable Point (MPP).The uniqueness of the new method is the use of the gradient of the limit-state function at the MPP.This guarantees that the surrogate model not only passes through the MPP but also is tangent to the limit-state function at the MPP.Then Importance Sampling (IS) is used to calculate the probability of failure based on the surrogate model.This treatment significantly improves the accuracy of reliability analysis.For optimization,the Sequential Optimization and Reliability Assessment (SORA) is employed,which decouples deterministic optimization from the SVM reliability analysis.The decoupling makes RBDO more efficient.The two examples show that the new method is more accurate with a moderately increased computational cost.