Author： Xie Y.M.
Publisher： Academic Press
ISSN： 0022-460X
Source： Journal of Sound and Vibration, Vol.192, Iss.1, 1996-01, pp. : 321-331
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Abstract
In the transient analysis of engineering structures by the finite element method there are several commonly used time integration schemes such as the method of central difference, the Newmark method, the Wilson-theta method, the Houbolt method and the alpha-method of Hilber-Hughes-Taylor. In this paper these time integration schemes are applied to simple non-linear dynamic systems and the performances of these schemes are compared. It is found that there are significant differences in the accuracy of these schemes. The result of some of these schemes are so inaccurate that it becomes clear that they are not suited for time integration over a long time duration. The behaviour of these schemes is also compared with that of the fourth order Runge-Kutta method, which has been the preferred integration scheme for non-linear systems of a single or a few degrees of freedom.
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