高阶非完整系统运动方程的统一形式

A Unified Form of Higher--Order Equations of Motion in Non-Holonomic Systems

基于万有 D’Alembert 原理得到了高阶非完整系统几类运动微分方程,包括Appell 方程、方程、Nielsen方程、Mangeron 方程和Miceic Dusan-Rusov Lazar 方程的统一形式、给出了相应公式的准座标表述和带乘子的形式。

Based on the universal D'Alembert principle, a unified formof some higher-order equations of motion in non-holonomic system is establishedto include such equations as by Appell, Chaplygin, Nielsen, Mangeron andMiceic Dusan-Rusov Lazar. The quasi-coordinate representations relevant tothese equations and those with multiplicators are thus also presented.