Response Surface Method Research Of Structural Reliability And Itsapplication

As the response surface method (RSM) is easy to use, doesn’t need complex derivation,and its principle is simple, it is widely used to a lot of areas like aviation engineering,chemical engineering, biological engineering, foodstuff engineering etc. But traditionalresponse surface method’s computational accuracy and efficiency are influenced largely byformat of functions and number of experimental points.This thesis improved traditional response surface method with high dimensional modelrepresentation (HDMR) based on traditional response surface method. Traditional responsesurface method has a fine local performance that the response surface fitted with objectfunction every time only near the design point. On the contrary, high dimensional modelrepresentation has fine global performance and a low calculation accuracy. Based on thesetwo advantages, the thesis proposes HDMR-RSM, an improve response surface method. Thismethod has two steps: first, get primary design point by high dimensional modelrepresentation and first order second moment method. Then use response surface method atthe design point, analysis the reliability with traditional response surface method. AsHDMR-RSM does not need explicit limit state function and its response is independent fromobject function，it ensures the accuracy and improves efficiency.In addition, the thesis applies the improves response surface method to the optimizationbased on reliability, get the optimum result of object function subject to constraint functionswith genetic algorithm and optimum vector. The method improves calculation efficiency byfinishing all finite element calculation before genetic algorithm iterating for optimum resultwhich makes the number of finite element calculation independent from the number ofiteration. Then apply the optimum result of genetic algorithm as the original point of optimumvector to optimize for optimum result. The thesis proves the applicable of this method byapplies this method to cantilever beam, truss structure and simplified aircraft wing structureetc.