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T. Bulenda

Ingenieurbüuro für das Bauwesen Prof. Dipl.-Ing. U. Bulenda, Zeitlarn, Germany, formerly Institute of Statics, Technical University of Munich, Germany

doi:10.4203/ccp.19.7.1

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T. Bulenda, "Discussion of Four General Approaches to Path Following in Nonlinear Statics", in B.H.V. Topping, (Editor), "Developments in Computational Engineering Mechanics", Civil-Comp Press, Edinburgh, UK, pp 185-190, 1993. doi:10.4203/ccp.19.7.1

Abstract

Computing nonlinear load-displacement curves in statics we have to solve sets of nonlinear equations consisting of the equilibrium equations augmented by one constraint to accomplish postbuckling analysis. Applying a predictor-corrector scheme to solve these systems of nonlinear equations the resulting sets of linear Newton equations consequently contain one additional row and one additional column compared to the tangent stiffness matrix. There are two algorithmic strategies to solve these extended systems. Also we have to decide whether to use a direct or an iterative equation solver. The possible combinations of algorithmic strategies and solvers deliver four approaches to path following in nonlinear statics which are discussed in this paper.

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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: 19 DEVELOPMENTS IN COMPUTATIONAL ENGINEERING MECHANICS Edited by: B.H.V. Topping Paper VII.1 Discussion of Four General Approaches to Path Following in Nonlinear Statics T. Bulenda Ingenieurbüuro für das Bauwesen Prof. Dipl.-Ing. U. Bulenda, Zeitlarn, Germany, formerly Institute of Statics, Technical University of Munich, Germany doi:10.4203/ccp.19.7.1 purchase the full-text of this paper Full Bibliographic Reference for this paper T. Bulenda, "Discussion of Four General Approaches to Path Following in Nonlinear Statics", in B.H.V. Topping, (Editor), "Developments in Computational Engineering Mechanics", Civil-Comp Press, Edinburgh, UK, pp 185-190, 1993. doi:10.4203/ccp.19.7.1 Abstract Computing nonlinear load-displacement curves in statics we have to solve sets of nonlinear equations consisting of the equilibrium equations augmented by one constraint to accomplish postbuckling analysis. Applying a predictor-corrector scheme to solve these systems of nonlinear equations the resulting sets of linear Newton equations consequently contain one additional row and one additional column compared to the tangent stiffness matrix. There are two algorithmic strategies to solve these extended systems. Also we have to decide whether to use a direct or an iterative equation solver. The possible combinations of algorithmic strategies and solvers deliver four approaches to path following in nonlinear statics which are discussed in this paper. 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 £58 +P&P)
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