An extended stochastic response surface method for random field problems

• 来源期刊: 力学学报（英文版）
• 年，卷（期）: 2007,（4）
• 页码范围: 445-450
• 页数: 6页
• 语种: 英文

摘要

An efficient and accurate uncertainty propaga-tion methodology for mechanics problems with random fields is developed in this paper. This methodology is based on the stochastic response surface method (SRSM) which has been previously proposed for problems dealing with random vari-ables only. This paper extends SRSM to problems involv-ing random fields or random processes fields. The favorable property of SRSM lies in that the deterministic computa-tional model can be treated as a black box, as in the case of commercial finite element codes. Numerical examples are used to highlight the features of this technique and to demon-strate the accuracy and efficiency of the proposed method.A comparison with Monte Carlo simulation shows that the proposed method can achieve numerical results close to those from Monte Carlo simulation while dramatically reducing the number of deterministic finite element runs.