[1]罗远祥.关于以瞬心为矩心的动量矩定理[J].深圳大学学报理工版,1985,(1-2):50-54.
 Lo Yuenhsiang.On the Theorem of Angular Momentum about the Instantaneous Center of Velocity[J].Journal of Shenzhen University Science and Engineering,1985,(1-2):50-54.
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关于以瞬心为矩心的动量矩定理()
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《深圳大学学报理工版》[ISSN:1000-2618/CN:44-1401/N]

卷:
期数:
1985年1-2期
页码:
50-54
栏目:
环境与能源
出版日期:
1985-06-30

文章信息/Info

Title:
On the Theorem of Angular Momentum about the Instantaneous Center of Velocity
作者:
罗远祥
深圳大学基础部
Author(s):
Lo Yuenhsiang
Division of Basic Science Courses
文献标志码:
A
摘要:
质系动量拒定理的经典形式是以固定点或质心为矩心, 在应用于研究刚体平面运动时, 有时选择瞬时速度中心(简称瞬心) 为矩心较为便利。但是由于对瞬心有不同的理解和定义, 在理论上和概念上引起了分歧和争论。本文从经典的瞬心定义出发, 从刚体的绝对运动时瞬心的动量矩, 以及刚体在相对于以动瞬心为原点的平动坐标系中的运动对动瞬心的动量拒两个途径, 简明地推导出相同形式的刚体平面运动动量拒方程, 通过讨论澄清某些概念上的混乱, 阐明方程的物理意义, 指出在实际应用时不必区分定瞬心与动瞬心。
Abstract:
The classical form of the theorem of angular momentum of a system of particles is based on a fixed point or the center of mass. In the application of the theorem to the plans motion of a rigid body,it is convenient to take the instantaneous center of velocity as the moment center. As a consequence of different definitions of the instantaneous center of velocity, some controversy and confusion in theory and concept have arisen. In this paper a unique form of angular momentum equation of plane motion of rigid bodies is deduced concisely from two different approaches, each according to a classical definition of the instantaneous center of velocity. In order to get rid of the conceptual confusion, the results are explained theoretically. It is shown that, in practice, there is no need to distinguish between the fixed and the moving instantaneous centers of velocity.
更新日期/Last Update: 2016-05-23