Relativistic Variation Principles and Equation of Motionfor Variable Mass Controllable Mechanical Systems

Luo Shaokai

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Article Navigation > Applied Mathematics and Mechanics > 1996 > 17(7): 645-653

Luo Shaokai. Relativistic Variation Principles and Equation of Motionfor Variable Mass Controllable Mechanical Systems[J]. Applied Mathematics and Mechanics, 1996, 17(7): 645-653.

Citation:

Luo Shaokai. Relativistic Variation Principles and Equation of Motionfor Variable Mass Controllable Mechanical Systems[J]. Applied Mathematics and Mechanics, 1996, 17(7): 645-653.

Citation:

Luo Shaokai. Relativistic Variation Principles and Equation of Motionfor Variable Mass Controllable Mechanical Systems[J]. Applied Mathematics and Mechanics, 1996, 17(7): 645-653.

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Relativistic Variation Principles and Equation of Motionfor Variable Mass Controllable Mechanical Systems

Luo Shaokai

Shangqiu Teachers College, Shangqiu 476000, P. R. China

Received Date: 1995-06-05
Publish Date: 1996-07-15

Abstract

Abstract

With classical variable mass and relativistic variable mass cases being considered.the relativistic D'Alembert principles of Lagrange form Nielsen form and Appell. form for variable mass controllable mechanical system are given the relativistic Chaplygin equation. Nielsen equation and Appell equation. for variable mass controllable mechanical system in quasi-coordinates and generalized-coordinates are obtained, and the equations of motion of relativistic controllable mechanical system for holonomic system and constant mass system are diseussed.
- controllable mechanical system,
- relativity,
- variable mass,
- nonholonomic constraint,
- variation principle equation or motion,

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References(11)

References

[1]	В.и.Киргетов,О кинематически управляемых механических системах,ПММ.,28(1)(1964)
[2]	В.и.Киргетов,Об уравнениях движеня управляемых механиеских системах,ПММ.,28(2)(1964)
[3]	В.В.Румянцев,О двизении удравляемых механических систм,ПММ.,40(5)(1976)
[4]	梅凤翔,可控力学系统的Jourdain原理和Nielsen方程.北京工业学院学报,(2)(1983),22-35
[5]	梅凤翔,《非完整系统力学基础》,北京工业学院出版社(1985),433-438.
[6]	刘恩远,变质量可控力学系统的Gauss原理和彻pell方程,固体力学学报,2(1988),122-129.
[7]	陈立群,变质量可控力学系统的广义Nielsen方程,固体力学学报,2(1989),177- 183.
[8]	Qiao Yongfen,Gibbs-Appell's equations of variable mass controllable mechanics systems in terms of quasi-velocities and quasi-accelerations,Acfa Mechaniica Solida Sinica,4(3)(1991),231-249.
[9]	罗绍凯,相对论非线性非完整系统动力学理论,上海力学,12(1)(1991),81-70.
[10]	Luo Shaokai,Relativistic.variational principles and equations of motion of high-order nonlinear nonholonomic systems,Proc,ICDIrC,Peking University Press(1990),815-652.
[11]	罗绍凯,变质量高阶非线性非完整系统的相对论性广义Volterra型方程,数学物理学报,12(增刊)(1992),27-29.