随机响应面法在结构随机响应计算中的应用

Application of stochastic response surface method in the structural stochastic response

传统的响应面方法以一般多项式逼近结构的随机响应,但这种方式并不能保证收敛性.以随机多项式为基础的随机响应面方法,可以弥补这一不足.两个数值例子和一个发动机轮盘实例来验证这一方法的有效性.结果表明:随着随机多项式次数的增加,随机响应面所得到的响应概率密度曲线愈加趋近于由蒙特卡罗方法所得到的概率密度曲线.

Classical response surface method approaches the structural stochastic re sponse using a group of general polynomials, but this method can not guarantee convergence. Stochastic response surface method can compensate the drawback of the classical re sponse surface. Two numerical examples and a practical example of an aero engine disk were presented herein to validate stochastic response surface method. The results show that, with the increasing order of polynomial chaos, the probability density curve of a response approaches the results from Monte Carlo simulations.