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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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