Differential Equations of Motion for a Variable-Mass Hoionomic System with a Uniformly Rotating Constraint

Zhao Guang-kang

Volume 7 Issue 6

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Article Navigation > Applied Mathematics and Mechanics > 1986 > 7(6): 523-531

Zhao Guang-kang. Differential Equations of Motion for a Variable-Mass Hoionomic System with a Uniformly Rotating Constraint[J]. Applied Mathematics and Mechanics, 1986, 7(6): 523-531.

Citation:

Zhao Guang-kang. Differential Equations of Motion for a Variable-Mass Hoionomic System with a Uniformly Rotating Constraint[J]. Applied Mathematics and Mechanics, 1986, 7(6): 523-531.

Citation:

Zhao Guang-kang. Differential Equations of Motion for a Variable-Mass Hoionomic System with a Uniformly Rotating Constraint[J]. Applied Mathematics and Mechanics, 1986, 7(6): 523-531.

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Differential Equations of Motion for a Variable-Mass Hoionomic System with a Uniformly Rotating Constraint

Zhao Guang-kang

Shanghai Textile Engineering College, Shanghai

Received Date: 1985-04-12
Publish Date: 1986-06-15

Abstract

Abstract

In this paper, the differential equations of motion will be established for variable-mass holonomic mechanical systems constrained to the uniform rotation, including the equations in Lagrangeform, Nielsen form and Appell form. The application of these new equations is illustrated with an example.

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References(6)

References

[1]	Whittaker,F.T.,A Treatise on the Analytical Dynamics of Particles and Rigid Bodies,Cambridge(1904).
[2]	梅凤翔,《分析力学基础》,北京工业学院(1983).
[3]	汪家诛,《分析动力学》,高教出版社(1958).
[4]	梅凤翔,非完整系统力学的某些问题.北京工业学院(1983).
[5]	Pars,A.,A Treatise on Analytical Dynamics,London(1965).
[6]	Goldtein,Classical Mechanics.California(1950).