变质量可控力学系统的相对论性变分原理与运动方程

本文同时考虑经典变质量和相对论变质量情况，建立了基本形式、Ｌａｇｒａｎｇｅ形式，Ｎｉｅｌｓｅｎ形式和ＡＰＰｅｌｌ形式的变质量可控力学系统的相对论性Ｄ’Ａｌｅｍｂｅｒｔ原理，得到了变质量非完整可控力学系统在准坐标下和广义坐标下的相对论性方程、Ｎｉｅｌｓｅｎ方程和ＡＰＰｅｌｌ方程，并讨论了完整系统、常质量系统的相对论性可控力学系统的运动方程．

Relativistic Variation Principles and Equation of Motionfor Variable Mass Controllable Mechanical Systems

With classical variable mass and relativistic variable mass cases being considered, the relativistic D'Alembert principles of Lagrange form, Nielsen formand Appell form for variable mass controllable mechanical system are given. therelativistic Chaplygin equation, Nielsen equation and Appell equation for variable mass controllable mechanical system in quasi-coordinates and generalized-co{ordinates arc obtained, and the equations of motion. of relativistic controllablemechanical system for holonomic system and constant mass system are discussed.