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Numerical integration scheme using singular perturbation method
Authors
G Gil
PE Nikravesh
RG Sanfelice
Publication date
1 January 2013
Publisher
eScholarship, University of California
Abstract
Some multi degree-of-freedom dynamical systems exhibit a response that contain fast and slow variables. An example of such systems is a multibody system with rigid and deformable bodies. Standard numerical integration of the resultant equations of motion must adjust the time step according to the frequency of the fastest variable. As a result, the computation time is sacrificed. The singular perturbation method is an analysis technique to deal with the interaction of slow and fast variables. In this study, a numerical integration scheme using the singular perturbation method is discussed, its absolute stability condition is derived, and its order of accuracy is investigated. Copyright © 2013 by ASME
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Last time updated on 25/12/2021