摘要
本文引入了 m 阶导数空间及与之相应的广义坐标的概念,将原相对于3N维 Euclid 空间“E_(3N)”的 m 阶非完整系统变为 m 阶导数空间“中形式上的完整系统,导出了包含万有 D'Alembert——Lagrange 微分原理在内的任意阶非完整系统的新型 Appell 方程和广义的 D'Alembert 原理。
In this paper the concepts of mth—order derivative space and corresponding general- ized coordinates have been introduced;then mth—oeder nonholonomic systems in Euclid space of 3N dimensions primitively have been changed into formal holonomic systems in mth—order derivative space.Based on this,a new Appell equation including the un versal D'Alembert—Lagrange's differential principle for any order nonholonomic systems and generalized D'Alembert principle have been derived.Finally,an example using this Appell equation is given.
基金
云南省应用基础资金资助课题
关键词
导数空间
非完整系统
Appell型方程
Mth—order derivative space
High order nonlinear nonholonomic systems
Generalized coordinate
Generalized D'Alembert principle
