速度空间中转动相对论系统的变分原理及其应用

从物体系转动相对论的动力学基本方程出发，考虑力矩是坐标θ、角速度θ和时间ｔ函数，引入速度空间中的加速度能量的概念，导出了转动相对论完整和非完整系统在速度空间中的变分原理并建立了Ｍａｇｇｉ型方程、Ｌａｇｒａｎｇｅ型方程和Ｃｈａｐｌｙｇｉｎ型方程。

VARIATIONAL PRINCIPLE OF ROTATIONAL RELATIVISTIC SYSTEMS AND ITS APPLICATION

Variational principle of rotational relativistic systems were studied. Firstly, moment of force is considered as the function of coordinate and velocity and time and concept of acceleration energy in velocity space were introduced. Secondly, D'Alembert-Lagrange's principle of holonomic and nonholonomic mechanical systems of rotational relativistic in velocity space was induced by using fundamental equation of rotational relativistic dynamics for a system of bodies. Finally, equations of Maggi's form, Lagrange's form and Chaplygin's form in terms of generalized coordinates and quasi-coordinates were established.