均质圆锥壳对母线的转动惯量研究  

A Calculation of Rotation Inertia of Common Uniform Revolutional Rigid Body

作　　者：刘艳芬[1] 

机构地区：[1]山西师范大学物理与信息工程学院,山西临汾041004

出　　处：《科学之友（中）》2009年第4期117-118,共2页Friend of Science Amateurs

摘　　要：应用平行轴定理、垂直轴定理及惯量张量法,以均质圆锥壳为例,计算均质旋转体对母线的转动惯量,对结论进行讨论并将其推广;得出刚体的总质量、质量的分布及轴的位置是影响刚体转动惯量的因素的结论;通过取微元的方法结合惯量张量法求出均质薄圆锥壳对母线的转动惯量,并对有厚度的圆锥壳进行了讨论。The rotational inertias about generator of common uniform revolutional rigid bodies （thin-walled circular cone） are simply calculated by the method of rotational inertia tensor, the parallel axis theorem and the orthogonal axis theorem, and the rotational inertia of thin-walled cylinders is given as a special example, a briefly descriptions of circular cone following;Derived the total mass of rigid body, the distribution of the quality and axial position are the conclusions of impacting rigid body moment of inertia factor;And then the rotational inertia of thin-walled cylinders is calculated by using the parallel axis theorem and the orthogonal axis theorem in the micro sheets.

关 键 词：惯量张量法 平行轴定理 垂直轴定理 转动惯量 

分 类 号：O313.3[理学—一般力学与力学基础]