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Please use this identifier to cite or link to this item: http://hdl.handle.net/1974/36

Title: Variational principles for constrained systems: theory and experiment
Authors: Lewis, Andrew D.
Murray, Richard M.

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1994g_letter.pdf564.54 kBAdobe PDFView/Open
Issue Date: 1994
Citation: International Journal of Nonlinear Mechanics 30(6), pages 793-815, 1995
Abstract: 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.
URI: http://hdl.handle.net/1974/36
Appears in Collections:Andrew D. Lewis

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