导数空间的新型D'Alembert原理及任意阶非完整系统的Gibbs-Appell方程  

New D'Alembert Principle in Derivative Space and Gibbs Appell Equation for Arbitrary Order Nonholonomic System

作　　者：李元成[1] 方建会[1] 焦志勇[1] 

机构地区：[1]石油大学应用物理系

出　　处：《山东矿业学院学报》1999年第4期37-40,43,共5页Journal of Shandong University of Science and Technology(Natural Science)

摘　　要：在导数空间中，将非完整系统变成为形式上的完整系统，建立了导数空间中新型的Ｄ’Ａｌｅｍｂｅｒｔ原理，得到了任意阶非完整系统通常形式和新型形式的ＧｉｂｂｓＡｐｐｅｌｌ 方程，并给出方程的算例。By transforming nonholonomic systems into formally holonomic systems, the new formed D'Alembert principle in derivative space has been established, the arbitrary order general form and new form of Gibbs Appell equations for nonholonomic systems have been obtained, and calculation example of equations is given.

关 键 词：导数空间 非完整系统 D′ALEMBERT原理 GIBBS-APPELL方程 

分 类 号：O316[理学—一般力学与力学基础]