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T. Sokol and M. Witkowski

Warsaw University of Technology, Centre of Computer Methods, Warsaw, Poland

doi:10.4203/ccp.24.2.3

T. Sokol, M. Witkowski, "The Equilibrium Path Determination in Nonlinear Analysis of Structures", in B.H.V. Topping, M. Papadrakakis, (Editors), "Advances in Non-Linear Finite Element Methods", Civil-Comp Press, Edinburgh, UK, pp 35-45, 1994. doi:10.4203/ccp.24.2.3

Abstract

The paper presents numerical techniques connected with non-linear analysis of structures by means of the Finite Element Method. An algorithm for the determination of equilibrium paths is presented using the arc length method. Attention is given to the effective techniques to approach the critical point and to pass onto the secondary post-bifurcation branch of the path. These techniques are an extension of the basic arc length method by the possibility of an exact analysis of critical points. General strategy of establishing equilibrium paths and automatic control of incremental process is proposed. The presented algorithms are investigated in several test examples.

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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: 24 ADVANCES IN NON-LINEAR FINITE ELEMENT METHODS Edited by: B.H.V. Topping and M. Papadrakakis Paper II.3 The Equilibrium Path Determination in Nonlinear Analysis of Structures T. Sokol and M. Witkowski Warsaw University of Technology, Centre of Computer Methods, Warsaw, Poland doi:10.4203/ccp.24.2.3 purchase the full-text of this paper Full Bibliographic Reference for this paper T. Sokol, M. Witkowski, "The Equilibrium Path Determination in Nonlinear Analysis of Structures", in B.H.V. Topping, M. Papadrakakis, (Editors), "Advances in Non-Linear Finite Element Methods", Civil-Comp Press, Edinburgh, UK, pp 35-45, 1994. doi:10.4203/ccp.24.2.3 Abstract The paper presents numerical techniques connected with non-linear analysis of structures by means of the Finite Element Method. An algorithm for the determination of equilibrium paths is presented using the arc length method. Attention is given to the effective techniques to approach the critical point and to pass onto the secondary post-bifurcation branch of the path. These techniques are an extension of the basic arc length method by the possibility of an exact analysis of critical points. General strategy of establishing equilibrium paths and automatic control of incremental process is proposed. The presented algorithms are investigated in several test examples. 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 £68 +P&P)
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