高阶非完整系统的高阶广义Appell方程  

The Higher Order Generalized Appell Equations for Higher Order Nonholonomic System

作　　者：张相武[1] 

机构地区：[1]陇东学院物理系,甘肃庆阳745000

出　　处：《江西师范大学学报（自然科学版）》2006年第2期103-106,共4页Journal of Jiangxi Normal University(Natural Science Edition)

摘　　要：以力学系统的高阶万有d’Alembert原理为基础,导出高阶非完整系统带乘子的高阶Appell方程、带乘子的高阶广义Appell方程以及不带乘子的高阶广义Appell方程.研究结果表明,这些方程是对Appell体系方程的有益补充.In this paper, based on the higher order universal d＇Alembert principle of mechanical system, higher order Appell equations with multipliers, higher order generalized Appell equations with multipliers and higher order generalized Appell equations without multipliers of the higher order nonholonomic system are derived. The result shows that these equations are a beneficial supplement to the equations of the Appell system.

关 键 词：高阶万有d'Alembert原理 高阶非完整系统 高阶Appell方程 高阶广义Appell方程 

分 类 号：O316[理学—一般力学与力学基础]