The Differentia, Geometric Principle of the Nonholonomic Mechanical Systems of Chetaev’s Type

Zhao Shi-ying

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Zhao Shi-ying. The Differentia, Geometric Principle of the Nonholonomic Mechanical Systems of Chetaev’s Type[J]. Applied Mathematics and Mechanics, 1986, 7(9): 847-860.

Citation:

Zhao Shi-ying. The Differentia, Geometric Principle of the Nonholonomic Mechanical Systems of Chetaev’s Type[J]. Applied Mathematics and Mechanics, 1986, 7(9): 847-860.

Citation:

Zhao Shi-ying. The Differentia, Geometric Principle of the Nonholonomic Mechanical Systems of Chetaev’s Type[J]. Applied Mathematics and Mechanics, 1986, 7(9): 847-860.

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The Differentia, Geometric Principle of the Nonholonomic Mechanical Systems of Chetaev’s Type

Zhao Shi-ying

Tongji University, Shanghai

Received Date: 1985-07-03
Publish Date: 1986-09-15

Abstract

Abstract

This paper deals with the nonholonomic mechanical systems of Chetaev's type by use of modern differential geometric methods.Based on a precise definition of Chetaev-type constraint pfaffian systems,the differential geometric structure is given for the description of nonholonomic mechanical systems.In thisframwork,the classical theory of Lagrange's equations with nonholonomic constraints is put into an invariant and coordinate free form.Furthermore,the problems of constraint imbedding and conservation laws are discussed within thisframwork,and the Noether-type thereom on constraint-imbedding submanifolds is obtained.

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References(20)

References

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