Title: Variational principles for constrained systems: theory and experiment (31 pages)
Author(s): Andrew D. Lewis and Richard M. Murray
Detail: The International Journal of Nonlinear Mechanics 30(6), pages 793-815, 1995
Journal version: Download

Original manuscript: 1994/10/07
Manuscript last revised: 1998/04/09

In this paper we present two methods, the nonholonomic method and the vakonomic method, for deriving equations of motion for a mechanical system with constraints. The resulting equations are compared. Results are also presented from an experiment for a model system: a ball rolling without sliding on a rotating table. Both sets of equations of motion for the model system are compared with the experimental results. The effects of various forms of friction are considered in the nonholonomic equations. With appropriate friction terms, the nonholonomic equations of motion for the model system give reasonable agreement with the experimental observations.

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Andrew D. Lewis (andrew at mast.queensu.ca)