A parallel algorithm for the global computation of elastic bar structures

Authors

  • Zsolt Gáspár Technical University of Budapest
    Hungary
  • Gabor Domokos Technical University of Budapest
    Hungary
  • Imre Szeberényi Technical University of Budapest
    Hungary

Abstract

This paper presents an algorithm for parallel computers, which is suitable for the global (arbitrary displacements)computation of elastic bar structures subject to quasi-static loads. Our method is also capableto determine equilibria which are not connected to the initial, trivial configuration. The paper discusses the gains and the disadventages of the method, comparing it with other techniques.

References

[1] E.L. Allgower, K. Georg. Numerical continuation methods: an introduction.Springer, Berlin, 1990.
[2] L. Bieberbach. Differentialgleichungen.Springer, Berlin, 1923.
[3] G. Domokos. Can strings buckle? In: Recent development in stability, vibration and control of structural systems, AMD -Vol 167, 167-174, ASME 1993, Applied Mechanics Division, ISBN 0-7918-1146-8, 1993.
[4] G. Domokos. Global Description of Elastic Bars ZAMM, 74 (4): 289-291 , 1994.
[5] G. Domokos, Zs. Gáspár. A Global, direct algorithm for path-following and active static control of elastic bar structures. J. of Structures and Machines, 23(4): 549- 579, 1995.

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Published

2023-06-26

Issue

pp. 55-68

Section

Articles

How to Cite

Gáspár, Z., Domokos, G., & Szeberényi, I. (2023). A parallel algorithm for the global computation of elastic bar structures. Computer Assisted Methods in Engineering and Science, 4(1), 55-68. https://cames3.ippt.pan.pl/index.php/cames/article/view/1413