基于速度约束求导法补充加速度关系  

Acceleration Equation Based on Velocity Constraint Derivative Method

作　　者：刘延彬 LIU Yanbin(School of Mechanics and Optoelectronic physics,Anhui University ofScience 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

出　　处：《牡丹江师范学院学报（自然科学版）》2019年第4期72-74,共3页Journal of Mudanjiang Normal University：Natural Sciences Edition

基　　金：国家自然科学基金项目(51604011);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);2017年度安徽省自然科学基金项目(1708085QF135)

摘　　要：探讨采用速度约束求取加速度关系的方法,并给出其在典型题当中的应用.实践表明,该方法可以使问题得到一定简化,求解过程相对简单,不容易出错.Dynamics equation of rigid body in plane motion is the basic teaching Content of theoretical mechanics.For differential equation of the rigid body with constraints,the number of unknowns is more than the number of equations.Thus,it is need to supplement acceleration relation.Theoretical mechanics textbooks usually use the base point method to get the acceleration relationship.For points moving in a straight line,the method of calculating acceleration relation with velocity constraint is discussed and its application in typical problems is given.It is show that the method can simplify the problem to a certain extent,and the solving process is relatively simple,and it is not easy to make mistakes.

关 键 词：理论力学 刚体平面运动 动力学微分方程 速度约束 

分 类 号：O469[理学—凝聚态物理]