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Numerical Integration Scheme Using Singular Perturbation Method

  • Author(s): Gil, Gibin
  • Sanfelice, Ricardo G
  • Nikravesh, Parviz E
  • et al.
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.

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