摘要
本文以曲线坐标张量和位形空间概念,直接从动力学基本方程,导出第二类拉格朗日方程。它说明,第二类拉格朗日方程实际上就是牛顿第二定律的协变分量形式,对于质点系可以变换成位形空间的一个位形点加以讨论。
This paper gives the derivation of the Lagrange's equation of the second kind directly from the fundamental equation of dynamics on the bases of the curvilinear tensors and the concepts of configuration space.From the derivation, it manifests that the Lagrange's equation of the second kind is actually the form of the covariant components of the Newton's second law and when it is applied to the system of particles it may be transformed to a configuration point in the configuration space for analysis.
出处
《上海力学》
CSCD
1991年第3期70-77,共8页
Chinese Quarterly Mechanics
