基于均质圆柱壳刚体转动惯量的计算  

Calculation on Rotary Inertia for Homogeneous Cylindrical Shell Rigid Body

作　　者：张金锋[1] 刘建军[1] 公丕锋[1] 袁五届[1] 张永兴[1] 

机构地区：[1]淮北师范大学物理与电子信息学院,安徽淮北235000

出　　处：《吉林师范大学学报（自然科学版）》2015年第2期84-86,共3页Journal of Jilin Normal University:Natural Science Edition

基　　金：国家自然科学基金项目(51272081);安徽省高等学校自然科学基金项目(KJ2014B06);淮北师范大学校级教研项目(jy13234)

摘　　要：刚体的转动惯量是刚体力学的重要概念,而关于转动惯量的计算也是刚体力学的难点之一.本文利用转动惯量的定义,计算了均质圆柱壳的转动惯量,并通过讨论推广得到了均质的圆盘、圆环、圆柱体、圆柱面的转动惯量.这有助于学生理解刚体转动惯量的物理意义,从而对提高大学物理教学质量具有一定的积极作用.The rotary inertia of rigid body is an important physical concept for mechanics of rigid body,and the calculation on rotary inertia is one of the difficulties for physics. In this paper,the rotary inertia of homogeneous cylindrical shell is calculated according to its definition. Through analysis of the calculation results,the rotary inertia for homogeneous disc,circle and cylinder rigid body. good. It is helpful for students to understand the physical meaning of rotary inertia,and it can also improve college physical teaching effectively.

关 键 词：刚体 转动惯量 平行轴定理 垂直轴定理 

分 类 号：O313.3[理学—一般力学与力学基础]