中国物理B ›› 2005, Vol. 14 ›› Issue (5): 879-881.doi: 10.1088/1009-1963/14/5/003

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The third-order Lagrange equation for mechanical systems of variable mass　　

马善钧, 葛卫国, 黄沛天   

  1. College of Physics and Communication Electronics,Jiangxi Normal University,Nanchang 33..27,China
  • 收稿日期:2004-09-25 修回日期:2005-01-02 出版日期:2005-05-19 发布日期:2005-05-19

The third-order Lagrange equation for mechanical systems of variable mass

Ma Shan-Jun (马善钧), Ge Wei-Guo (葛卫国), Huang Pei-Tian (黄沛天)   

  1. College of Physics and Communication Electronics,Jiangxi Normal University, Nanchang 330027,China
  • Received:2004-09-25 Revised:2005-01-02 Online:2005-05-19 Published:2005-05-19

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摘要： In this paper, based on the third-order D’Alember-Lagrange principle for mechanical systems of variable mass, the third-order Lagrange’s equations of mechanical systems of variable mass have been obtained. From the equations the motion of mechanical systems of variable mass can be studied. In addition, the equations may enrich the theory of third-order differential equation.

关键词: mechanical system of variable mass, third-order D’Alember-Lagrange’s principle, time rate of force, third-order Lagrange’s equations

Abstract: In this paper, based on the third-order D’Alember-Lagrange principle for mechanical systems of variable mass, the third-order Lagrange’s equations of mechanical systems of variable mass have been obtained. From the equations the motion of mechanical systems of variable mass can be studied. In addition, the equations may enrich the theory of third-order differential equation.

Key words: mechanical system of variable mass, third-order D’Alember-Lagrange’s principle, time rate of force, third-order Lagrange’s equations

中图分类号:  (Lagrangian and Hamiltonian mechanics)

  • 45.20.Jj
02.30.Jr (Partial differential equations)