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OPTIMUM DESIGN BASED ON RELIABILITY IN STOCHASTIC STRUCTURE SYSTEMS
作者姓名:安伟光  孙克淋  陈卫东  王滨生  蔡荫林
作者单位:Department of Aerospace Engineering,Harbin Engineering University,Harbin 150001,P.R.China,Department of Aerospace Engineering,Harbin Engineering University,Harbin 150001,P.R.China,Department of Aerospace Engineering,Harbin Engineering University,Harbin 150001,P.R.China,Department of Aerospace Engineering,Harbin Engineering University,Harbin 150001,P.R.China,Department of Aerospace Engineering,Harbin Engineering University,Harbin 150001,P.R.China
基金项目:Project supported by the War Industry Technique Basic Items of CSTIND (No. Z192001A001 )
摘    要:IntroductionIn traditional optimum structural math model,the target function and the constraintfunction are all considered as the certain value.But it does not accord to the actual forcedenvironment condition and structural status.Thus the optimum results…

关 键 词:随机构造系统  可靠性  灵敏性  随机向量  优化设计
文章编号:0253-4827(2005)10-1293-10
收稿时间:2003-08-25
修稿时间:2005-05-11

Optimum design based on reliability in stochastic structure systems
Wei-guang An,Ke-lin Sun,Wei-dong Chen,Bin-sheng Wang,Yin-lin Cai.OPTIMUM DESIGN BASED ON RELIABILITY IN STOCHASTIC STRUCTURE SYSTEMS[J].Applied Mathematics and Mechanics(English Edition),2005,26(10):1293-1302.
Authors:Wei-guang An  Ke-lin Sun  Wei-dong Chen  Bin-sheng Wang  Yin-lin Cai
Institution:1. Department of Aerospace Engineering, Harbin Engineering University, Harbin, 150001, P. R. China
Abstract:The optimum design method based on the reliability is presented to the stochastic structure systems(i.e., the sectional area, length, elastic module and strength of the structural member are random variables)under the random loads.The sensitivity expression of system reliability index and the safety margins were presented in the stochastic structure systems. The optimum vector method was given.First,the expressions of the reliability index of the safety margins with the improved first-order second-moment and the stochastic finite element method were deduced, and then the expressions of the systemic failure probability by probabilistic network evaluation technique(PNET) method were obtained. After derivation calculus,the expressions of the sensitivity analysis for the system reliability were obtained.Moreover, the optimum design with the optimum vector algorithm was undertaken. In the optimum iterative procedure, the gradient step and the optimum vector step were adopted to calculate. At the last, a numerical example was provided to illustrate that the method is efficient in the calculation, stably converges and fits the application in engineering.
Keywords:stochastic structure system  reliability  sensitivity analysis  optimum vector method  optimum design
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