导数空间的新型D′Alembert原理及任意阶非完整系统的Tzenoff方程  

SOME NEW D′ALEMBERT PRINCIPLE AND TZENOFF EQUATIONS FOR ARBITRARY ORDER NONHOLONOMIC MECHANICAL SYSTEM IN DERIVATIVE SPACE

作　　者：李元成[1] 

机构地区：[1]石油大学应用物理系,山东东营257062

出　　处：《石油大学学报（自然科学版）》1999年第5期95-97,共3页Journal of the University of Petroleum,China(Edition of Natural Science)

摘　　要：定义了导数空间中的两种Ｔｚｅｎｏｆｆ 函数，确立了导数空间的新型Ｄ′Ａｌｅｍｂｅｒｔ 原理，得到了任意阶非完整系统的通常形式和新型形式的Ｔｚｅｎｏｆｆ 方程。This paper defines two kinds of Tzenoff functions and establishes a new type of D′Alembert principle in the derivative space. Both common and new\|type forms of Tzenoff equations for arbitrary order nonholonomic mechanical systems are given, and a case by using the new equations is presented.

关 键 词：导数空间 非完整系统 TZENOFF方程 建模 力学 

分 类 号：O316[理学—一般力学与力学基础]