The Equations of Motion for a Nonholonomic System under the Action of.lmpulsive Forces

Sun You-lie

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Article Navigation > Applied Mathematics and Mechanics > 1987 > 8(2): 169-176

Sun You-lie. The Equations of Motion for a Nonholonomic System under the Action of.lmpulsive Forces[J]. Applied Mathematics and Mechanics, 1987, 8(2): 169-176.

Citation:

Sun You-lie. The Equations of Motion for a Nonholonomic System under the Action of.lmpulsive Forces[J]. Applied Mathematics and Mechanics, 1987, 8(2): 169-176.

Citation:

Sun You-lie. The Equations of Motion for a Nonholonomic System under the Action of.lmpulsive Forces[J]. Applied Mathematics and Mechanics, 1987, 8(2): 169-176.

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The Equations of Motion for a Nonholonomic System under the Action of.lmpulsive Forces

Sun You-lie

Shanghai University of Technology, Shanghai

Received Date: 1985-11-03
Publish Date: 1987-02-15

Abstract

Abstract

The equations of impact for a nonholonomic system described with generalized coordinated have been discussed in detail in the general references of classical dynamics. But these equations contain undetermined multipliers which made the problem complicated.Through the appropriate treatment of mathematics, using the 8 -function and expression of matrix in this paper, the author derived equations of impact for a nonholonomic system without undetermined multipliers. Therefore, the problem can be solved more simply.

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References(5)

References

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[3]	Greenwood,Donald T.,Classical Dynamics,Prentice-Hall,Inc.(1977).
[4]	甘特马赫,Φ.P.《分析力学讲义》,人民教育出版社(1961).
[5]	吉洪诺夫,A,H.,A,A.萨马尔斯基,《数学物理方程》(上册),高等教育出版社(1960).