相对速度瞬心的动量矩定理深度剖析  

Deeply Analyzing the Momentum Moment Theorem of Instantaneous Center

作　　者：刘延彬 LIU Yanbin(School of Science,Anhui University of Science and Technology,Huainan 232001,China)

机构地区：[1]安徽理工大学力学与光电物理学院,安徽淮南232001

出　　处：《牡丹江师范学院学报（自然科学版）》2020年第4期64-67,共4页Journal of Mudanjiang Normal University：Natural Sciences Edition

基　　金：国家自然科学基金项目(51604011);2017年度安徽省自然科学基金项目(1708085QF135);安徽省质量工程项目理论力学智慧课堂试点项目(2017zhkt179);安徽省高校优秀青年人才支持计划重点项目(gxyqZD2016082);2017年度安徽高校自然科学重点研究项目(KJ2017A077);安徽省质量工程项目理论力学mooc项目(2017mooc117)。

摘　　要：给出相对速度瞬心的动量矩定理的推导过程,对相对速度瞬心的动量矩定理进行深度透视,探讨其概念、原理及应用,对比其与相对质心动量矩定理的差异性.The theorem of angle momentum is a powerful tool for solving the dynamic problems of plane motion of rigid bodies.In theoretical mechanics textbooks,only the angle momentum theorem about mass center is given,but the angle momentum theorem about instantaneous center is not given.Because of the instantaneity of instantaneous center,students often have disputes and errors in solving a problem.This paper gives a deductive process of the theorem,which is compatible with the current theoretical mechanics teaching system.In order to deepen understanding of the theorem and to use it correctly,we also make a deep perspective on the theorem,discusses its concept,principle and application,and compare the difference of it with the angle momentum of mass center.

关 键 词：理论力学 速度瞬心 动量矩定理 时变转动惯量 

分 类 号：O313.3[理学—一般力学与力学基础]