Abstract
A method of Baumgarte for the stabilization of mechanical constraints is extended to rotating bodies whose state is described by angular velocity variables and angle variables or Euler parameters. Computational results for several constraint situations are reported.
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References
Baumgarte, J., “Stabilization of constraints and integrals of motion in dynamical systems, “Computer Methods in Appl. Mech. and Eng., 1 (1972), 1–16.
Baumgarte, J., “Numerical stabilization of the differential equations of Keplerian motion, “Celestial Mech., 5 (1972), 490–501.
Bulirsch, R. and J. Stoer, “Numerical treatment of ordinary differential equations by extrapolation methods, “Numerische Mathematik, 8 (1966), 1–13.
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© 1978 Springer-Verlag, Berlin/Heidelberg
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Roberson, R.E. (1978). Constraint Stabilization for Rigid Bodies: an Extension of Baumgarte’s Method. In: Magnus, K. (eds) Dynamics of Multibody Systems. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-86461-2_23
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DOI: https://doi.org/10.1007/978-3-642-86461-2_23
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-86463-6
Online ISBN: 978-3-642-86461-2
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