The interacting components of complex technical systems are often described by coupled systems of differential equations. In dynamical simulation, these coupled differential equations have to be solved numerically. Cosimulation techniques, multirate methods, and other approaches that exploit the modular structure of coupled systems are frequently used as alternatives to classical time integration methods. The numerical stability and convergence of such modular time integration methods is studied for a class of sequential modular methods for coupled multibody system models. Theoretical investigations and numerical test results show that the stability of these sequential modular methods may be characterized by a contractivity condition. A linearly implicit stabilization of coupling terms is proposed to guarantee numerical stability and convergence.
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July 2010
Research Papers
Stability of Sequential Modular Time Integration Methods for Coupled Multibody System Models
Martin Arnold
Martin Arnold
NWF III—Institute of Mathematics,
e-mail: martin.arnold@mathematik.uni-halle.de
Martin Luther University Halle-Wittenberg
, D-06099 Halle (Saale), Germany
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Martin Arnold
NWF III—Institute of Mathematics,
Martin Luther University Halle-Wittenberg
, D-06099 Halle (Saale), Germanye-mail: martin.arnold@mathematik.uni-halle.de
J. Comput. Nonlinear Dynam. Jul 2010, 5(3): 031003 (9 pages)
Published Online: May 14, 2010
Article history
Received:
April 9, 2009
Revised:
March 4, 2010
Online:
May 14, 2010
Published:
May 14, 2010
Citation
Arnold, M. (May 14, 2010). "Stability of Sequential Modular Time Integration Methods for Coupled Multibody System Models." ASME. J. Comput. Nonlinear Dynam. July 2010; 5(3): 031003. https://doi.org/10.1115/1.4001389
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