Uncertainties in probabilistic numerical analysis of structures and solids - Stochastic finite elements

被引:278
作者
Matthies, HG
Brenner, CE
Bucher, CG
Soares, CG
机构
[1] UNIV TECN LISBOA, INST SUPER TECN, P-1096 LISBON, PORTUGAL
[2] TECH UNIV CAROLO WILHELMINA BRAUNSCHWEIG, D-3300 BRAUNSCHWEIG, GERMANY
[3] UNIV INNSBRUCK, A-6020 INNSBRUCK, AUSTRIA
关键词
uncertainty modeling; numerical approximations; representation of stochastic fields; stochastic finite elements;
D O I
10.1016/S0167-4730(97)00013-1
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
The main sources of uncertainties involved in the analysis of structures and solids are shown and the tools available to deal with them. While trying to cover the complete modeling process, ranging from the problem formulation via the mathematical model all the way to the numerical approximation, we have tried to expose areas in need of further research. The techniques and methods involved in stochastic modeling are explained in somewhat more detail, as they are newer and less known than those used for the deterministic modeling. (C) 1997 Elsevier Science Ltd.
引用
收藏
页码:283 / 336
页数:54
相关论文
共 129 条
[1]  
[Anonymous], 1990, PROBAB ENG MECH
[2]   ERROR ESTIMATES FOR ADAPTIVE FINITE-ELEMENT COMPUTATIONS [J].
BABUSKA, I ;
RHEINBOLDT, WC .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1978, 15 (04) :736-754
[3]   VALIDATION OF A-POSTERIORI ERROR ESTIMATORS BY NUMERICAL APPROACH [J].
BABUSKA, I ;
STROUBOULIS, T ;
UPADHYAY, CS ;
GANGARAJ, SK ;
COPPS, K .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1994, 37 (07) :1073-1123
[4]  
Bathe K, 2000, FINITE ELEMENT METHO
[5]  
BECKER R, 1976, KONTINUUMSMECHANIK
[6]  
Ben-Haim Y., 1990, CONVEX MODELS UNCERT
[7]  
BRENNER CE, 1993, STRUCTURAL DYNAMICS : EURODYN 93, VOLS 1 AND 2, P1123
[8]  
BRENNER CE, 1993, Z ANGEW MATH MECH, V73, pT900
[9]  
BRENNER CE, IN PRESS PROBABILIST
[10]  
BRENNER CE, 1995, THESIS U INSSBRUCK F