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考虑材料弹性模量和外荷载的随机性,基于摄动随机有限元法建立了结构构件可靠度分析方法,并根据迭代点的不同分为基于验算点的迭代算法和基于均值点的迭代算法。通过算例将2种计算方法与基于蒙特卡洛法的可靠度算法进行了比较。结果表明:弹性模量随机情况下,基于验算点的迭代算法计算结果精度高于基于均值点的迭代算法,并且在随机参数小变异情况下具有良好的计算精度,误差均不超过5%;荷载随机情况下,不同变异系数下2种方法的计算精度都比较好,误差均不超过1%;弹性模量和荷载都随机情况下,在随机参数小变异的情况下2种方法的计算精度都较好,误差均不小于4%。同时考虑计算效率的影响,弹性模量随机情况下建议选用基于验算点的迭代算法,荷载随机情况下2种方法都可以选用,弹性模量和荷载都随机情况下建议选用基于均值点的迭代算法。
Considering the randomness of material elastic modulus and external load, a method of reliability analysis of structural members is established based on the perturbation stochastic finite element method. According to the iterative points, it is divided into iterative algorithm based on check point and iterative algorithm based on mean point. Two kinds of calculation methods are compared with those based on Monte Carlo method through examples. The results show that the accuracy of iterative algorithm based on check point is higher than that of average point based iterative algorithm under random circumstances, and the calculation accuracy is good with small variation of random parameters, the error is less than 5% Under random conditions, the calculation accuracy of the two methods under different coefficients of variation are all good, and the errors are all less than 1%. Both the elastic moduli and the loads are random under the condition of small variation of random parameters Better, the error is not less than 4%. At the same time, considering the influence of calculation efficiency, the elasticity modulus is suggested to choose the iterative algorithm based on the checking point randomly. Both methods can be used under the random load condition. The elasticity modulus and the load are all suggested to choose the iterative algorithm based on the mean point .