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ABSTRACT

Elastodynamics with the Cell Method

F. Cosmi1

Department of Mechanical Engineering, University of Trieste, Trieste, Italy, cosmi@units.it

The International Conference on Computational & Experimental Engineering and Sciences 2007, 3(4), 195-210. https://doi.org/10.3970/icces.2007.003.195

Abstract

The Cell Method is a recently developed numerical method that is giving interesting results in several fields of physics and engineering. In this paper, first a brief description of the method for elasticity problems is given and successively the elastodynamics formulation is derived. The method leads to an explicit solution system, combining the advantages of a diagonal mass matrix and the possibility of using unstructured meshes. The convergence rate has been tested in reference to the problem of free harmonic vibrations in a system with one degree of freedom, showing that the Cell Method has the same convergence rate of II order Runge Kutta method, but its accuracy is better. The Cell Method results in 2D and 3D have been compared with those obtained with the commercial codes ANSYS and ABAQUS in the problem of the longitudinal vibration of a bar with free ends, for which the exact analytic solution is found in literature. The Cell Method results are comparable with or better than those obtained with FEM, and they are particularly interesting from the point of view of computation time and memory requirements for very large meshes.

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Cite This Article

APA Style
Cosmi, F. (2007). Elastodynamics with the cell method. The International Conference on Computational & Experimental Engineering and Sciences, 3(4), 195-210. https://doi.org/10.3970/icces.2007.003.195
Vancouver Style
Cosmi F. Elastodynamics with the cell method. Int Conf Comput Exp Eng Sciences . 2007;3(4):195-210 https://doi.org/10.3970/icces.2007.003.195
IEEE Style
F. Cosmi, “Elastodynamics with the Cell Method,” Int. Conf. Comput. Exp. Eng. Sciences , vol. 3, no. 4, pp. 195-210, 2007. https://doi.org/10.3970/icces.2007.003.195



cc Copyright © 2007 The Author(s). Published by Tech Science Press.
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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