Title: A time stepping method in analysis of nonlinear structural dynamics
Authors: Gholampour, Ali Akbar
Ghassemieh, Mehdi
Razavi, Hadi
Citation: Applied and Computational Mechanics. 2011, vol. 5, no. 2, p. 143-150.
Issue Date: 2011
Publisher: University of West Bohemia
Document type: článek
URI: http://www.kme.zcu.cz/acm/index.php/acm/article/view/128/122
ISSN: 1802-680X (Print)
2336-1182 (Online)
Keywords: přímá časová integrace;vážený residuál;nelineární strukturální dynamika;akcelerace třetího řádu
Keywords in different language: direct time integration;weighted residual;nonlinear structural dynamics;second order acceleration
Abstract: In this paper a new method is proposed for the direct time integration method for structural dynamics problems. The proposed method assumes second order variations of the acceleration at each time step. Therefore more terms in the Taylor series expansion were used compared to other methods. Because of the increase in order of variations of acceleration, this method has higher accuracy than classical methods. The displacement function is a polynomial with five constants and they are calculated using: two equations for initial conditions (from the end of previous time step), two equations for satisfying the equilibrium at both ends of the time step, and one equation for the weighted residual integration. Proposed method has higher stability and order of accuracy than the other methods. c 2011 University of West Bohemia. All rights reserved.
Rights: © 2011 University of West Bohemia. All rights reserved.
Appears in Collections:Volume 5, number 2 (2011)
Volume 5, number 2 (2011)

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Please use this identifier to cite or link to this item: http://hdl.handle.net/11025/1344

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