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Constraints and Lagrangian Coordinates

  • Emmanuele DiBenedetto
Chapter
Part of the Cornerstones book series (COR)

Abstract

Constraints are limitations imposed on thegeometrical or kinematic configuration of a mechanical system. For example, in a rigid motion any two points are required to beat constant mutual distance. This is a rigidity constraint. A system with one of its points constrained on a surface is an example of a constrained mechanical system. Assume that a point P moves, being constrained to a surface \(\mathcal{S}\subset {\mathbb{R}}^{3}\).

Keywords

Fundamental Form Maximum Rank Rigid Motion Christoffel Symbol Unilateral Constraint 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of MathematicsVanderbilt UniversityNashvilleUSA

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