A geometric formulation of Classical Analytical Mechanics, especially suited to the study of non-holonomic systems is proposed. The argument involves a preliminary study of the geometry of the space of kinetic states of the system, followed by a revisitation of Chetaev's definition of virtual work, viewed here as a cornerstone for the implementation of the principle of determinism. Applications to ideal non-holonomic systems are explicitly worked out.
A new look at Classical Mechanics of constrained systems
MASSA, ENRICO;
1997-01-01
Abstract
A geometric formulation of Classical Analytical Mechanics, especially suited to the study of non-holonomic systems is proposed. The argument involves a preliminary study of the geometry of the space of kinetic states of the system, followed by a revisitation of Chetaev's definition of virtual work, viewed here as a cornerstone for the implementation of the principle of determinism. Applications to ideal non-holonomic systems are explicitly worked out.
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