摘要
本文应用万有D’Alembert原理把Nielsen自然方程推广到可控变质量高阶非完整系统,分别给出了广义坐标和准坐标的表述,最后证明了该方程与可控变质量高阶非完整系统广义Nielsen方程的等价性。
In this paper, the Nielsen natural equations are extended to controllable variable-mass systems with high-order non-holonomic constraints by use of the universal D' Alembert principle. The equations in terms of generalized coordinates and quasi-coordi-nates are respectively presented. The equivalence between the equations and the generalized Nielsen equations for controllable variable-mass high-order non-holonomic systems is demenstrated.
关键词
变质量
可控系统
非完整系统
analysis mechanics, variable-mass, high-order non-holonomic bounds, con- trollable system, the Nielse natural equations
