摘要
本交给出了惯量张量用其三个主要不变量表示的特征方程,为求特征值提供了一种代数方程解法;论证了特征值即为主惯量,特征矢量即为惯量主轴;探讨了用特征矩阵的伴随矩阵求惯量主轴的方法,并用实例给予了说明。
This paper presents the eigen equation of inertial tensor expressed by the three principal invariants, which is an algebra-equation solution to calculate eigen value;proves that eigenvalue is the principal moments of inertia and that eigenvector is the principal axes of inertia;and discusses a certain method to calculate prinpal axes of inertia by adjoint matrix of eigen matrix.Finally the paper explains this method by two concrete
examples.
出处
《益阳师专学报》
1993年第6期50-56,73,共7页
Journal of Yiyang Teachers College
关键词
理论力学
惯量张量
特征值
theoretical mecnanics, inertial tensor, adjoint matrix, eigenvalue, eigenvector, principal moments of inertia, principal axes of inertia.