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Convergence of the generalized-α scheme for constrained mechanical systems

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Abstract

A variant of the generalized-α scheme is proposed for constrained mechanical systems represented by index-3 DAEs. Based on the analogy with linear multistep methods, an elegant convergence analysis is developed for this algorithm. Second-order convergence is demonstrated both for the generalized coordinates and the Lagrange multipliers, and those theoretical results are illustrated by numerical tests.

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Authors and Affiliations

  1. NWF III—Institute of Mathematics, Martin Luther University Halle–Wittenberg, 06099, Halle (Saale), Germany

    Martin Arnold

  2. Department of Aerospace and Mechanical Engineering, University of Liège, 4000, Liège, Belgium

    Olivier Brüls

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  1. Martin Arnold
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  2. Olivier Brüls
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Correspondence to Martin Arnold.

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Arnold, M., Brüls, O. Convergence of the generalized-α scheme for constrained mechanical systems. Multibody Syst Dyn 18, 185–202 (2007). https://doi.org/10.1007/s11044-007-9084-0

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  • DOI: https://doi.org/10.1007/s11044-007-9084-0

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