A New Method of Stabilization for Holonomic Constraints

[+] Author and Article Information
J. W. Baumgarte

Mechanik-Zentrum, Technische Universität, D-3300 Braunschweig, Germany

J. Appl. Mech 50(4a), 869-870 (Dec 01, 1983) (2 pages) doi:10.1115/1.3167159 History: Received June 01, 1982; Revised May 01, 1983; Online July 21, 2009


A new method for the asymptotic stabilization of holonomic constraints is presented. The essential feature of this approach is the introduction of stabilizing momenta of constraint. The advantage of the method is the fact that to obtain the nonclassical Lagrangian multipliers in the equations of motion, the holonomic constraints need to be differentiated only once with respect to time.

Copyright © 1983 by ASME
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