Hybrid uncertain static analysis with random and interval fields

被引:78
作者
Wu, Di [1 ]
Gao, Wei [1 ]
机构
[1] Univ New South Wales, Sch Civil & Environm Engn, CIES, Sydney, NSW 2052, Australia
基金
澳大利亚研究理事会;
关键词
Random field; Interval field; Spatially dependent uncertainty; Extended unified interval stochastic sampling; Hybrid uncertainty analysis; Uncertain static analysis; FINITE-ELEMENT-ANALYSIS; MATHEMATICAL-PROGRAMMING APPROACH; STRUCTURAL RELIABILITY-ANALYSIS; NONPROBABILISTIC CONVEX MODEL; DESIGN OPTIMIZATION; PERTURBATION METHOD; RESPONSE ANALYSIS; NEURAL-NETWORKS; PARAMETERS; SHELLS;
D O I
10.1016/j.cma.2016.10.047
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Uncertain static analysis of an engineering structure with diverse type of non-deterministic system parameter is investigated in this study. Unlike the traditional hybrid uncertain static analysis involving random and interval variables, the concept of random and interval fields has been implemented to model the spatially dependent uncertainties associated with the system inputs. A novel computational approach, namely the extended unified interval stochastic sampling (X-UISS) method, is proposed to calculate the statistical characteristics (i.e., mean and standard deviation) of the extreme bounds (i.e., lower and upper bounds) of the concerned responses (e.g., displacement and stress) of engineering structure involving hybrid spatially dependent uncertainties. Subsequently, by utilizing either parametric or nonparametric statistical analysis, the probability density functions (PDFs), as well as the cumulative distribution functions (CDFs), of the extreme bounds of the concerned structural responses can be effectively established. Consequently, the upper and lower bounds of either the concerned responses of the engineering structure at any particular percentile of probability, or the structural reliability against any specified capacities can be effectively secured. The applicability and effectiveness of the proposed computational analysis framework are illustrated through the numerical investigations on various examples. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码:222 / 246
页数:25
相关论文
共 73 条
[1]   Three-dimensional stochastic finite element method for elasto-plastic bodies [J].
Anders, M ;
Hori, M .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2001, 51 (04) :449-478
[2]  
[Anonymous], 1985, Theory of matrix structural analysis
[3]   Stochastic finite element analysis of shells [J].
Argyris, J ;
Papadrakakis, M ;
Stefanou, G .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2002, 191 (41-42) :4781-4804
[4]  
Bowman A.W., 1997, Applied Smoothing Techniques for Data Analysis: The Kernel Approach with S-Plus Illustrations, V18
[5]   A fast Monte-Carlo method with a reduced basis of control variates applied to uncertainty propagation and Bayesian estimation [J].
Boyaval, Sebastien .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2012, 241 :190-205
[6]  
Brooke Anthony., 1998, A User's Guide
[7]   Improving the computational efficiency in finite element analysis of shells with uncertain properties [J].
Charmpis, DC ;
Papadrakakis, M .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2005, 194 (12-16) :1447-1478
[8]   Reliability analysis of homogeneous and bimaterial cracked structures by the scaled boundary finite element method and a hybrid random-interval model [J].
Chowdhury, Morsaleen Shehzad ;
Song, Chongmin ;
Gao, Wei ;
Wang, Chen .
STRUCTURAL SAFETY, 2016, 59 :53-66
[9]  
Drud A. S., 1994, ORSA Journal on Computing, V6, P207, DOI 10.1287/ijoc.6.2.207
[10]  
Elishkoff I., 2003, FINITE ELEMENT METHO