Comparison of different strategies of integration of vibrating systems

K. Ragulskis, P. Paskevicius, J. Ragulskiene, R. Maskeliunas, L. Zubavicius

Journal of Vibroengineering, Vol. 12, Issue 1, 2010, p. 42-49.
Received 30 September 2009; accepted 27 November 2009; published 31 March 2010

Copyright © 2010 Vibroengineering This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Abstract. Different schemes of numerical integration of the second order differential equation using finite elements in time with linear interpolation are compared. The precision of integration is investigated and the recommendations for the choice of the time step are provided. Precision of the higher order three node numerical integration schemes with the displacement and velocity as the nodal variables is investigated and the recommendations for the choice of the time step are provided

Keywords: one degree of freedom, vibrations, numerical integration, finite elements.