高阶非完整系统的两类高阶运动微分方程  

Two Kinds of Higher Order Differential Equations of Motion for Higher Order Nonholonomic System

作　　者：张相武[1] 

机构地区：[1]陇东学院物弹系,甘肃庆阳745000

出　　处：《陇东学院学报（自然科学版）》2006年第1期39-44,共6页Journal of Longdong University:Natural Science Edition

摘　　要：本文给出高阶Euler算子、高阶广义Euler算子和高阶Nielsen算子、高阶广义Nielsen算子的定义以及两类算子之间关系的若干定理，并应用这些定理导出高阶非完整系统的两类高阶运动微分方程．In this paper, the definitions of the higher order Euler＇s operators, the higher order generalized Euler＇s operators, the higher order Nielsen＇s operators and the higher order generalized Nielsen＇s operators are given. The theorems expressing the relation between two kinds of operators are given, and two kinds of higher order differential equations of motion for higher order nonholonomic system are derived by using these theorems.

关 键 词：高阶非完整系统 高阶广义Euler算子 高阶广义Nielsen算子 高阶广义Чаплыгин方程 高阶广义Nielsen方程 

分 类 号：O316[理学—一般力学与力学基础]