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惯量张量并矢式及其应用
引用本文:李文略.惯量张量并矢式及其应用[J].河南教育学院学报(自然科学版),2014(4):47-51.
作者姓名:李文略
作者单位:湛江师范学院基础教育学院;
基金项目:湛江师范学院基础教育学院科研资助项目成果之一(XM1302)
摘    要:对惯量张量并矢式进行改造,得到新的惯量张量并矢式.新的并矢式有助于理解惯量张量的不变性.给出算例,计算出匀质长方体刚体对过定点的任意转轴、对其面对角线、体对角线和匀质圆锥体对其母线的转动惯量.

关 键 词:惯量张量并矢式  主轴坐标系  转动惯量  长方体刚体  圆锥体刚体

The Dyadic of Inertia Tensor and Its Application
LI Wen-lue.The Dyadic of Inertia Tensor and Its Application[J].Journal of Henan Education Institute(Natural Science Edition),2014(4):47-51.
Authors:LI Wen-lue
Institution:LI Wen-lue (College of Basic Education, Institute of Zhanjiang Normal University, Zhanjiang 524037, China)
Abstract:A novel dyadic of inertia tensor, which contributes to the students' understanding of the invariance and easy application of Inertia Tensor, is obtained by modifying the old one. The moment of inertia tensor of any rota- ting shaft, opposite diagonal, body diagonal of a homogeneous rectangular rigid body and that of generatrix of a homogeneous cone are calculated by exemplifying.
Keywords:dyadic of inertia tensor  coordinates of principal axes  moment of inertia  rectangular rigid body  conerigid body
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