相对论系统的广义Lagrange变分原理  

Ceneralized Lagrange Principles Of Relativistic Mechanical Systems

作　　者：卢一兵[1] 

机构地区：[1]长沙大学物电系,湖南长沙410003

出　　处：《长沙大学学报》2003年第4期8-11,共4页Journal of Changsha University

摘　　要：从力学系统相对论性的D'AlembertLagrange原理出发,建立非完整非保守系统的相对论性广义Lagrange积分变分原理,证明其Ho¨lder形式与Cуслов形式的等价性,并应用该原理导出非完整非保守系统相对论性的运动微分方程.以往的各种Lagrange原理均是本文原理的特款.On the basis of generalized D'AlembertLagrange principle of relativistic mechanical system,the relativistic generalized Lagrange principles of the system are found, and the equivalence of the H o¨lder form and the Suslo form is proved;then, the relativistic differential equations of motion of nonholonomic nonconservative system are obtained.All the Lagrange principles in the past time are only special cases of this principle.

关 键 词：Lagrange原理 相对论力学 分析力学 非完整系统 

分 类 号：O316[理学—一般力学与力学基础]