Gibbs-Appells Equations of Variable Mass Nonlinear Nonholonomic Mechanical Systems

Qiao Yong-fen

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1990 > 11(10): 911-920

Qiao Yong-fen. Gibbs-Appells Equations of Variable Mass Nonlinear Nonholonomic Mechanical Systems[J]. Applied Mathematics and Mechanics, 1990, 11(10): 911-920.

Citation:

Qiao Yong-fen. Gibbs-Appells Equations of Variable Mass Nonlinear Nonholonomic Mechanical Systems[J]. Applied Mathematics and Mechanics, 1990, 11(10): 911-920.

Citation:

Qiao Yong-fen. Gibbs-Appells Equations of Variable Mass Nonlinear Nonholonomic Mechanical Systems[J]. Applied Mathematics and Mechanics, 1990, 11(10): 911-920.

PDF( 514 KB)

Gibbs-Appells Equations of Variable Mass Nonlinear Nonholonomic Mechanical Systems

Qiao Yong-fen

Northeast Agricultural College, Harbin

Received Date: 1989-04-14
Publish Date: 1990-10-15

Abstract

Abstract

In this paper, the Gibbs-Appell's equations of motion are extended to the most general variable mass nonholonomie mechanical systems. Then the Gibbs-Appell's equations of motion in terms of generalized coordinates or quasi-coordinates and an integral variational principle of variable mass nonlinear nonholonomie mechanical systems are obtained. Finally, an example is given.
- variable mass,
- nonholonomic system,
- Gibbs-Appell’s equation,
- integral variational principle,
- quasi-velocity

FullText(HTML)

References(5)

References

[1]	Gibbs,J.W.,On the fundamental formulae of dynamics,Amer. J.Math 2(1879),49-64.
[2]	Appell,P Sur les mouvements de roulement:equations du mouvement analogues a celles de Lagrange,C. R,Acad,Sc,Paris,129(1899),317-320;Sur une forme générale des équations de la Danamique,ibid,423-427;Sur une forme nouvelle des équations de la Danamique,ibid,459-460.
[3]	梅凤翔著,《非完整系统力学基础》,北京工业学院出版社,第一版,北京(1985).
[4]	Desloge,Edward A,,The Gibbs-Appell equations of motion,Am,J. Phys,,56,9(1988)
[5]	戈正铭、程浥禾,变质量非完整系统的哈密顿原理,应用数学和力学,4,2(1983),277-288.