Higher-order differential variational principle and differential equations of motion for mechanical systems in event space

作     者：张相武 李院院 赵小侠 罗文峰 

作者机构：School of Physics and Mechatronic Engineering Xi’an University of Arts and Science School of Electronic Engineering Xi’an University of Posts and Telecommunications 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2014年第23卷第10期

页      面：292-298页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Project supported by the Science and Technology Program of Xi’an City China(Grant No.CXY1352WL34) 

主　　题：event space the higher-order d'Alembert-Lagrange principle the higher-order time rate of changeof force the higher-order differential equations of motion 

摘      要：In this paper we study the higher-order differential variational principle and differential equations of motion for mechanical systems in event space. Based on the higher-order d＇Alembert principle of the system, the higher-order velocity energy and the higher-order acceleration energy of the system in event space are defined, the higher-order d＇Alembert- Lagrange principle of the system in event space is established, and the parametric forms of Euler-Lagrange, Nielsen and Appell for this principle are given. Finally, the higher-order differential equations of motion for holonomic systems in event space are obtained.