NIELSEN方程的显式

Explicit Expression of Nielsen Equations

通过对完整力学系统动能表达式的广义坐标形式进行运算、推导,给出了完整力学系统Nielsen方程的显式——关于广义坐标的二阶常微分方程组,由此也说明了Nielsen方程与Lagrange方程的等价性。

By means of expressing the kinetic energy function in terms of generalized coordinates, the explicit expression of Nielsen equations for holonomic mecchanical systems is presented, which are 2-order differentical equations in respect to generalized coordinates. Thus the equivalence between Nielsen equations and Lagrange equations is explained.