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L. Liepa, A. Gervyte, "Residual Displacement Analysis of Structures at Shakedown", in J. Kruis, Y. Tsompanakis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 250, 2015. doi:10.4203/ccp.108.250

Keywords: shakedown, mathematical programming, mathematical model, optimization, residual displacements, variable repeated load, elastic-plastic material.

Summary

The residual displacements developing in the shakedown process of an ideally elastic-plastic beam system under variable repeated loads vary non-monotonically. Therefore, it is important to determine the variation bounds. In this paper, the numerical methods, as well as the extremum energy principles, small displacement assumption and mathematical programming theory are used to develop the mathematical models of the analysis problem. By solving the analysis problem, where the load locus is progressively expanded, it is possible to determine the upper and the lower bounds of the residual displacements. It is assumed that non-monotonically varying residual displacements do not exceed these bounds. The application of the proposed load locus expansion method is illustrated by a case study of a multisupported beam. The results obtained in this investigation show that, at given repeated variable load, a structure can adapt to the changed conditions, but the values of the residual displacements may differ. Using the proposed method, it is possible to determine the bounds of residual displacements without analysing the history of the loading.

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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: 108 PROCEEDINGS OF THE FIFTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING Edited by: J. Kruis, Y. Tsompanakis and B.H.V. Topping Paper 250 Residual Displacement Analysis of Structures at Shakedown L. Liepa and A. Gervyte Department of Structural Mechanics, Faculty of Civil Engineering, Vilnius Gediminas Technical University, Lithuania doi:10.4203/ccp.108.250 purchase the full-text of this paper Full Bibliographic Reference for this paper L. Liepa, A. Gervyte, "Residual Displacement Analysis of Structures at Shakedown", in J. Kruis, Y. Tsompanakis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 250, 2015. doi:10.4203/ccp.108.250 Keywords: shakedown, mathematical programming, mathematical model, optimization, residual displacements, variable repeated load, elastic-plastic material. Summary The residual displacements developing in the shakedown process of an ideally elastic-plastic beam system under variable repeated loads vary non-monotonically. Therefore, it is important to determine the variation bounds. In this paper, the numerical methods, as well as the extremum energy principles, small displacement assumption and mathematical programming theory are used to develop the mathematical models of the analysis problem. By solving the analysis problem, where the load locus is progressively expanded, it is possible to determine the upper and the lower bounds of the residual displacements. It is assumed that non-monotonically varying residual displacements do not exceed these bounds. The application of the proposed load locus expansion method is illustrated by a case study of a multisupported beam. The results obtained in this investigation show that, at given repeated variable load, a structure can adapt to the changed conditions, but the values of the residual displacements may differ. Using the proposed method, it is possible to determine the bounds of residual displacements without analysing the history of the loading. 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 £75 +P&P)
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