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Paper II.7

Efficient Solution Procedures For the Stochastic Finite Element Analysis of Space Frames using the Monte Carlo Simulation

V. Papadopoulos and M. Papadrakakis

Institute for Structural Analysis & Seismic Research, National Technical University of Athens, Athens, Greece

doi:10.4203/ccp.33.2.7

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V. Papadopoulos, M. Papadrakakis, "Efficient Solution Procedures For the Stochastic Finite Element Analysis of Space Frames using the Monte Carlo Simulation", in B.H.V. Topping, (Editor), "Developments in Computational Techniques for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 61-70, 1995. doi:10.4203/ccp.33.2.7

Abstract

In the present paper the weighted integral method in conjunction with the Monte Carlo simulation is used together with innovative solution strategies based on the Preconditioned Conjugate Gradient method (PCG) to produce robust and efficient solutions for the stochastic finite element analysis of space frames. The numerical tests presented demonstrate the superiority of the proposed computational strategies compared to the widely used Neumann expansion method both in terms of accuracy and computational efficiency. The superiority is more pronounced in cases where the analysis needs to be performed for large variations of the stochastic parameters.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 33 DEVELOPMENTS IN COMPUTATIONAL TECHNIQUES FOR STRUCTURAL ENGINEERING Edited by: B.H.V. Topping Paper II.7 Efficient Solution Procedures For the Stochastic Finite Element Analysis of Space Frames using the Monte Carlo Simulation V. Papadopoulos and M. Papadrakakis Institute for Structural Analysis & Seismic Research, National Technical University of Athens, Athens, Greece doi:10.4203/ccp.33.2.7 purchase the full-text of this paper Full Bibliographic Reference for this paper V. Papadopoulos, M. Papadrakakis, "Efficient Solution Procedures For the Stochastic Finite Element Analysis of Space Frames using the Monte Carlo Simulation", in B.H.V. Topping, (Editor), "Developments in Computational Techniques for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 61-70, 1995. doi:10.4203/ccp.33.2.7 Abstract In the present paper the weighted integral method in conjunction with the Monte Carlo simulation is used together with innovative solution strategies based on the Preconditioned Conjugate Gradient method (PCG) to produce robust and efficient solutions for the stochastic finite element analysis of space frames. The numerical tests presented demonstrate the superiority of the proposed computational strategies compared to the widely used Neumann expansion method both in terms of accuracy and computational efficiency. The superiority is more pronounced in cases where the analysis needs to be performed for large variations of the stochastic parameters. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £78 +P&P)
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