KANE’S EQUATIONS FOR PERCUSSION MOTION OF VARIABLE MASS NONHOLONOMIC MECHANICAL SYSTEMS

Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (9): 839-850.

KANE’S EQUATIONS FOR PERCUSSION MOTION OF VARIABLE MASS NONHOLONOMIC MECHANICAL SYSTEMS

张耀良¹, 乔永芬²

1. Harbin Engineering University, Harbin 150001, P. R. China;
2. Northeast Agricultural University, Harbin 150030, P. R. China

收稿日期:1994-12-01 出版日期:1995-09-18 发布日期:1995-09-18

KANE’S EQUATIONS FOR PERCUSSION MOTION OF VARIABLE MASS NONHOLONOMIC MECHANICAL SYSTEMS

Zhang Yueliang¹, Qiao Yongfen²

1. Harbin Engineering University, Harbin 150001, P. R. China;
2. Northeast Agricultural University, Harbin 150030, P. R. China

Received:1994-12-01 Online:1995-09-18 Published:1995-09-18

摘要/Abstract

摘要： In this paper,the Kane’s equations for the Routh’s form of variable massnonholonomic systems are established.and the Kane’s equations for percussion motionof variable mass holonomic and nonholonomic systems are deduced from them. Secondly,the equivalence to Lagrange’s equations for percussion motion and Kane’sequations is obtained,and the application of the new equation is illustrated by anexample.

关键词: variable mass, percussion motion, Kane’s equation, nonholonomic system

Abstract: In this paper,the Kane’s equations for the Routh’s form of variable massnonholonomic systems are established.and the Kane’s equations for percussion motionof variable mass holonomic and nonholonomic systems are deduced from them. Secondly,the equivalence to Lagrange’s equations for percussion motion and Kane’sequations is obtained,and the application of the new equation is illustrated by anexample.

Key words: variable mass, percussion motion, Kane’s equation, nonholonomic system

张耀良;乔永芬. KANE’S EQUATIONS FOR PERCUSSION MOTION OF VARIABLE MASS NONHOLONOMIC MECHANICAL SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 1995, 16(9): 839-850.

Zhang Yueliang;Qiao Yongfen. KANE’S EQUATIONS FOR PERCUSSION MOTION OF VARIABLE MASS NONHOLONOMIC MECHANICAL SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 1995, 16(9): 839-850.

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KANE’S EQUATIONS FOR PERCUSSION MOTION OF VARIABLE MASS NONHOLONOMIC MECHANICAL SYSTEMS

KANE’S EQUATIONS FOR PERCUSSION MOTION OF VARIABLE MASS NONHOLONOMIC MECHANICAL SYSTEMS

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