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

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 elasto-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.

[1]  Palle Thoft-Christensen,et al.  On Reliability-Based Structural Optimization , 1991 .

[2]  Barry Hilary Valentine Topping Advances in computational structures technology , 1996 .

[3]  A W Beeby,et al.  CONCISE EUROCODE FOR THE DESIGN OF CONCRETE BUILDINGS. BASED ON BSI PUBLICATION DD ENV 1992-1-1: 1992. EUROCODE 2: DESIGN OF CONCRETE STRUCTURES. PART 1: GENERAL RULES AND RULES FOR BUILDINGS , 1993 .

[4]  Dan M. Frangopol Interactive reliability-based structural optimization , 1984 .

[5]  J. E. Pulido,et al.  Structural reliability using Monte-Carlo simulation with variance reduction techniques on elastic-plastic structures , 1992 .

[6]  Hojjat Adeli,et al.  Advances in Design Optimization , 1994 .

[7]  M. Papadrakakis,et al.  Advanced solution methods in topology optimization and shape sensitivity analysis , 1996 .

[8]  Barry Hilary Valentine Topping,et al.  Neural Computing for Structural Mechanics , 1999 .

[9]  M. Kleiber,et al.  Interactive methodology for reliability-based structural design and optimization , 1999 .

[10]  Pericles S. Theocaris,et al.  Neural networks for computing in fracture mechanics. Methods and prospects of applications , 1993 .

[11]  Manolis Papadrakakis,et al.  STRUCTURAL SHAPE OPTIMIZATION USING EVOLUTION STRATEGIES , 1999 .

[12]  Manolis Papadrakakis,et al.  Large-scale reliability-based structural optimization , 2004 .

[13]  R. Daniel VanLuchene,et al.  INTEGRATED ASSESSMENT OF SEISMIC DAMAGE IN STRUCTURES , 1994 .

[14]  Hojjat Adeli,et al.  Optimization of space structures by neural dynamics , 1995, Neural Networks.

[15]  John F. Abel,et al.  Yield surface applications in nonlinear steel frame analysis , 1982 .

[16]  Yang Li,et al.  An effective optimization procedure based on structural reliability , 1994 .

[17]  G. I. Schuëller,et al.  Some Basic Principles of Reliability-Based Optimization (RBO) of Structures and Mechanical Components , 1998 .

[18]  C. Bucher Adaptive sampling — an iterative fast Monte Carlo procedure , 1988 .

[19]  C. S. Krishnamoorthy,et al.  System Reliability-Based Configuration Optimization of Trusses , 2001 .

[20]  Yamashita,et al.  Backpropagation algorithm which varies the number of hidden units , 1989 .

[21]  Dan M. Frangopol,et al.  Design of composite hybrid plate girder bridges based on reliability and optimization , 1994 .

[22]  Hideomi Ohtsubo,et al.  Reliability-Based Structural Optimization , 1991 .

[23]  Rong C. Shieh,et al.  Massively parallel structural design using stochastic optimization and mixed neuralnet/finite element analysis methods , 1994 .

[24]  Y. Ueda,et al.  The plastic node method: A new method of plastic analysis , 1982 .

[25]  Manolis Papadrakakis,et al.  Structural reliability analyis of elastic-plastic structures using neural networks and Monte Carlo simulation , 1996 .

[26]  M. Papadrakakis,et al.  A computationally efficient method for the limit elasto plastic analysis of space frames , 1995 .