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

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.