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GIBBS-APPELL’S EQUATIONS OF VARIABLE MASS NONLINEAR NONHOLONOMIC MECHANICAL SYSTEMS
引用本文:乔永芬. GIBBS-APPELL’S EQUATIONS OF VARIABLE MASS NONLINEAR NONHOLONOMIC MECHANICAL SYSTEMS[J]. 应用数学和力学(英文版), 1990, 11(10): 973-983. DOI: 10.1007/BF02115681
作者姓名:乔永芬
作者单位:Northeast Agricultural College,Harbin
摘    要:In this paper,the Gibbs-Appell’s equations of motion are extended to the most generalvariable mass nonholonomic mechanical systems.Then the Gibbs-Appell’s equations ofmotion in terms of generalized coordinates or quasi-coordinates and an integral variationalprinciple of variable mass nonlinear nonholonomic mechanical systems are obtained.Finally,an example is given.

关 键 词:variable mass  nonholonomic system  Gibbs-Appell’s equation  integral variational principle  quasi-velocity
收稿时间:1989-08-14

Gibbs-Appell's equations of variable mass nonlinear nonholonomic mechanical systems
Qiao Yong-fen. Gibbs-Appell's equations of variable mass nonlinear nonholonomic mechanical systems[J]. Applied Mathematics and Mechanics(English Edition), 1990, 11(10): 973-983. DOI: 10.1007/BF02115681
Authors:Qiao Yong-fen
Affiliation:(1) Northeast Agricultural College, Harbin
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.
Keywords:variable mass   nonholonomic system   Gibbs-Appell's equation   integral variational principle   quasi-velocity
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