考虑摩擦时刚性直杆倾倒的运动分析  

DYNAMIC ANALYSIS OF RIGID STRAIGHT ROD TOPPLING WITH CONSIDERATION OF FRICTION

作　　者：李浩隆 冯维明[1] LI Haolong;FENG Weiming(School of Civil Engineering,Shandong University,Jinan 250061,China)

机构地区：[1]山东大学土建与水利学院,济南250061

出　　处：《力学与实践》2021年第3期425-434,共10页Mechanics in Engineering

基　　金：山东省本科高校教学改革重点项目资助。

摘　　要：为了探究考虑摩擦时均质刚性直杆倾倒的全过程,利用理论分析和数值计算的方法,详细分析了在不同摩擦因数下刚性直杆倾倒的三种运动过程,得到了倾倒时的动力学方程及其解答,并推导了杆触地端位移的表达式,通过数值计算的方法绘出了杆触地端最终位移与摩擦因数的关系曲线,并通过实验验证了部分结论。In order to study the whole process of rigid straight rod toppling with consideration of friction,three kinds of motion processes of rigid straight rod toppling with different friction factors are analyzed by the theoretical method and the numerical calculation.The dynamic equation and its solution are obtained,as well as the expression of the displacement of the point where the rod touches the ground.The relation curve between the final displacement of the point where the rod touches the ground and the friction coefficient is obtained by the numerical calculation method,and the results are verified by experiments.

关 键 词：刚性直杆 自由倾倒 摩擦 运动分析 动力学分析 

分 类 号：O313[理学—一般力学与力学基础]