High-Order Hamilton's Principle and the Hamilton's Principle of High-Order Lagrangian Function  

作　　者：ZHAO Hong-Xia MA Shan-Jun 

机构地区：[1]College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China

出　　处：《Communications in Theoretical Physics》2008年第2期297-302,共6页理论物理通讯（英文版）

基　　金：the Natural Science Foundation of Jiangxi Province;the Foundation of Education Department of Jiangxi Province under Grant No.[2007]136

摘　　要：In this paper, based on the theorem of the high-order velocity energy, integration and variation principle, the high-order Hamilton＇s principle of general holonomic systems is given. Then, three-order Lagrangian equations and four-order Lagrangian equations are obtained from the high-order Hamilton＇s principle. Finally, the Hamilton＇s principle of high-order Lagrangian function is given.

关 键 词：Hamilton＇s principle high-order velocity energy integration and variation principle Lagrangian function 

分 类 号：O311[理学—一般力学与力学基础]