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

Luo Shaokai

Volume 17 Issue 7

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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

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