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物理学报  2006 

The universal forms of the dynamic equations of holonomic mechanical system in relative motion
完整力学系统相对运动动力学方程的普遍形式

Keywords: holonomic mechanical system,relative motion,higher order differential variational principle,higher order dynamic equations
完整力学系统
,相对运动,高阶微分变分原理,高阶动力学方程

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Abstract:

Based on the dynamic equations of particles system in non-inertial coordinate system, the higher order differential variational principle of relative motion for mechanical system is obtained, and the energy of higher order relative velocity of the mechanical system is introduced, the different kinds of higher order dynamic equations of holonomic mechanical system in relative motion are derived, and an example is given to illustrate the application of the results.

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