Title
A new structural uncertainty analysis method based on polynomial expansions
Abstract
This paper proposes a new method based on the polynomial expansions for structural uncertainty analysis. A generalized finite difference method (GFDM) based on the Taylor expansion is adopted to compute the structural responses, which has good adaptabilities to the analysis domains due to its meshless property. With the help of the polynomial chaos expansions (PCE), random variables subjected to any probability distribution are implicitly quantified. The GFDMPCE method combines GFDM and PCE, is verified by the classical Monte Carlo method (MCM) in terms of calculation accuracy and efficiency. This method is non-intrusive, rigorous in mathematical theory, and shows bright prospects for the robust analysis of large-scale and complex structures.
Year
DOI
Venue
2022
10.1016/j.amc.2022.127122
APPLIED MATHEMATICS AND COMPUTATION
Keywords
DocType
Volume
Uncertainty analysis, Taylor expansion, PCE, Meshless method, MCM
Journal
427
ISSN
Citations 
PageRank 
0096-3003
0
0.34
References 
Authors
0
6
Name
Order
Citations
PageRank
Yongfeng Zheng100.34
Yan Gu25710.46
Liang Gao31493128.41
Yanzheng Wang400.34
Jinping Qu500.34
Chuanzeng Zhang600.34