惯量张量并矢式及其应用

The Dyadic of Inertia Tensor and Its Application

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.

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.