Extension of the Whittaker Equations to Non Holonomic Mechanical Systems

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Mei Feng-xiang. Extension of the Whittaker Equations to Non Holonomic Mechanical Systems[J]. Applied Mathematics and Mechanics, 1984, 5(1): 61-66.

Citation:

Mei Feng-xiang. Extension of the Whittaker Equations to Non Holonomic Mechanical Systems[J]. Applied Mathematics and Mechanics, 1984, 5(1): 61-66.

Citation:

Mei Feng-xiang. Extension of the Whittaker Equations to Non Holonomic Mechanical Systems[J]. Applied Mathematics and Mechanics, 1984, 5(1): 61-66.

Abstract

In 1904,using the energy integral Whittaker studied the redaction of a dynamical problem to a problem with fewer degrees of freedom for the holonomic conservative systems and obtained the Whittaker equations^[1].In this articfe, the Whittaker equations are extended to non-holonomic systems and the generalized Whittaker equations are obtained And then these equations are transformed to Nielsen's form. Finally an example a given.

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