变质量可控力学系统的相对论性变分原理与运动方程<sup>*</sup>

变质量可控力学系统的相对论性变分原理与运动方程^*

基金项目: * 河南省自然科学基金

摘要: 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。
- 可控力学系统 /
- 相对论 /
- 变质量 /
- 非完整约束 /
- 变分原理 /
- 运动方程
Abstract: With classical variable mass and relativistic variable mass cases being considered.the relativistic D'Alembert principles of Lagrange form Nielsen form and Appell. form for variable mass controllable mechanical system are given the relativistic Chaplygin equation. Nielsen equation and Appell equation. for variable mass controllable mechanical system in quasi-coordinates and generalized-coordinates are obtained, and the equations of motion of relativistic controllable mechanical system for holonomic system and constant mass system are diseussed.
- controllable mechanical system /
- relativity /
- variable mass /
- nonholonomic constraint /
- variation principle equation or motion /

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