Reliability-based structural optimization using neural networks and Monte Carlo simulation

被引:455
作者
Papadrakakis, M [1 ]
Lagaros, ND [1 ]
机构
[1] Natl Tech Univ Athens, Inst Struct Anal & Seism Res, Athens 15780, Greece
关键词
structural optimization; reliability analysis; Monte Carlo simulation; evolution strategies; neural networks; parallel computations;
D O I
10.1016/S0045-7825(02)00287-6
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper examines the application of neural networks (NN) to reliability-based structural optimization of large-scale structural systems. The failure of the structural system is associated with the plastic collapse, The optimization part is performed with evolution strategies, while the reliability analysis is carried out with the Monte Carlo simulation (MCS) method incorporating the importance sampling technique for the reduction of the sample size. In this study two methodologies are examined. In the first one an NN is trained to perform both the deterministic and probabilistic constraints check. In the second one only the clasto-plastic analysis phase, required by the MCS, is replaced by a neural network prediction of the structural behaviour up to collapse. The use of NN is motivated by the approximate concepts inherent in reliability analysis and the time consuming repeated analyses required by MCS. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:3491 / 3507
页数:17
相关论文
共 30 条
[11]  
LI WJ, 1994, COMPUT STRUCT, V52, P1061
[12]   YIELD SURFACE APPLICATIONS IN NON-LINEAR STEEL FRAME ANALYSIS [J].
ORBISON, JG ;
MCGUIRE, W ;
ABEL, JF .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1982, 33 (1-3) :557-573
[13]   Advanced solution methods in topology optimization and shape sensitivity analysis [J].
Papadrakakis, M ;
Tsompanakis, Y ;
Hinton, E ;
Sienz, J .
ENGINEERING COMPUTATIONS, 1996, 13 (05) :57-&
[14]   Structural reliability analysis of elastic-plastic structures using neural networks and Monte Carlo simulation [J].
Papadrakakis, M ;
Papadopoulos, V ;
Lagaros, ND .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1996, 136 (1-2) :145-163
[15]   Structural shape optimization using evolution strategies [J].
Papadrakakis, M ;
Tsompanakis, Y ;
Lagaros, ND .
ENGINEERING OPTIMIZATION, 1999, 31 (04) :515-540
[16]  
PAPADRAKAKIS M, 1995, COMPUT MECH, V16, P132, DOI 10.1007/BF00365867
[17]   STRUCTURAL RELIABILITY USING MONTE-CARLO SIMULATION WITH VARIANCE REDUCTION TECHNIQUES ON ELASTIC PLASTIC STRUCTURES [J].
PULIDO, JE ;
JACOBS, TL ;
DELIMA, ECP .
COMPUTERS & STRUCTURES, 1992, 43 (03) :419-430
[18]  
SCHUELLER GI, 1997, ICOSSAR 97
[19]  
Schwefel H.P., 1981, NUMERICAL OPTIMIZATI
[20]   MASSIVELY-PARALLEL STRUCTURAL DESIGN USING STOCHASTIC OPTIMIZATION AND MIXED NEURALNET FINITE-ELEMENT ANALYSIS-METHODS [J].
SHIEH, RC .
COMPUTING SYSTEMS IN ENGINEERING, 1994, 5 (4-6) :455-467