Poincaré-Chetaev变量下非线性非完整相对论系统的运动方程  

Motion equations of nonlinear nonholonomic rotational relativistic systems in Poincaré-Chetaev variables

作　　者：乔永芬[1] 赵淑红[1] 

机构地区：[1]东北农业大学工程学院力学教研室,黑龙江哈尔滨150030

出　　处：《信阳师范学院学报（自然科学版）》2001年第1期47-51,共5页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：黑龙江省自然科学基金!资助课题 ( 950 7)

摘　　要：研究 Poincaré-Chetaev变量下非线性非完整相对论动力学系统的运动方程 .首先 ,由相对论性D'Alembert-Lagrange原理导出 Chaplygin型方程、Nielsen型方程和 Appell型方程 ;其次 ,研究 Chaplygin方程与 Appell方程的等价性问题 ;最后讨论了相对论分析力学与经典分析力学之间的关系 .The motion equations of nonlinear nonholonomic rotational relativistic systems in Poincaré Chetaev variables are studied.Firstly,the equations of Chaplygin's form,Nielsen's form and Appell's form are derived by the D'Alembert Lagrange's principle.Then the equivalent problem of the Chaplygin's equation to the Appell's equation and the relative relations between rotational relativistic analytical mechanics and the classical analytical mechanics is discussed.

关 键 词：Poincare-Chetaev变量 非完整系统 相对论性 D'Alembert-Lagrange原理 完整力学系统 Nielsen型方程 

分 类 号：O316[理学—一般力学与力学基础]