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Variational Principles in Constrained Systems: Theory and Experiments |
Abstract |
In this paper we present two methods, the … 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. eement with the experimental observations. +
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Authors | Andrew D. Lewis and Richard M. Murray + |
Flags | NoRequest + |
ID | 1994o + |
Source | <i>International Journal of Nonlinear Mechanics</i>, 30(6): 793-815, 1995<br /> CDS Technical Report 94-016 + |
Tag | lm94-cds + |
Title | Variational Principles in Constrained Systems: Theory and Experiments + |
Type | Technical Report + |
Categories | Papers |
Modification date This property is a special property in this wiki.
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15 May 2016 06:20:42 + |
URL This property is a special property in this wiki.
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http://www.cds.caltech.edu/~murray/preprints/cds94-016.pdf + |
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Variational Principles in Constrained Systems: Theory and Experiments + | Title |
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