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.
Received: 25 September 2004
Revised: 02 January 2005
Accepted manuscript online:
Ma Shan-Jun (马善钧), Ge Wei-Guo (葛卫国), Huang Pei-Tian (黄沛天) The third-order Lagrange equation for mechanical systems of variable mass 2005 Chinese Physics 14 879
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