非完整力学系统相对论条件下的Mac—Millan方程

Relativistic Mac—Millan′s Equations of Nonholonomic Mechanical Systems

随着近代高能和粒子物理日益深入工程应用领域,给出非完整动力学系统在相对论条件下的运动微分方程,具有重要的理论和现实意义.本文根据相对论性 Jourdain 原理,导出了非线性非完整力学系统广义坐标和准坐标形式的相对论性的广义 Mac—Millan 方程,并进一步推广到具有反推力作用的变质量非完整的动力学系统中.

In this paper,the relativistic generalized Mac—Millan's equtions in terms of generalized coordinates and quasi—coordinates for nonlinear nonholonomic mechanical systems were established. And then these conlusions are extended to variable mass nonholonomic dynamic mechanical systems with The Action of Thrust