非线性非完整转动相对论系统的时间积分定理  

Time integral theorems for nonlinear nonholonomic rotational relativistic systems

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,黑龙江哈尔滨150030

出　　处：《商丘师范学院学报》2001年第2期11-16,共6页Journal of Shangqiu Normal University

基　　金：黑龙江省自然科学基金资助项目! ( 1995 0 7)

摘　　要：:从物体系转动相对论性基本形式的D’Alembert原理出发 ,考虑力矩是角坐标θ、角速度 θ和时间t的函数 ,引入转动相对论系统的广义动能函数 ,导出了非线性非完整转动相对论系统的Routh型方程 .基于该方程 ,建立了非线性非完整转动相对论系统的广义维里定理 ,并得到一组特殊积分公式 ,例如 ,广义能量积分 ,新型的Hamilton原理。In this paper,time integral theorems for nonlinear nonholonomic rotational relativistic systems were studied.Firstly,considering the moment of force was the function of the angular coordinate θ and angular velocity θ and time t.And the concept of generalized kinetic energy function was introduced.Secondly,from the fundamental form D′Alembert principle of rotational relativistic dynamics for a system of bodies.The Routh s form equation for nonlinear nonholonomic rotational relativistic systems were derived,and on the basis of which the generalized virial theorem for nonlinear nonholonomic rotational relativistic systems were established and a series of special integral formulate for example generalized energy integral and new form Hamilton principle and Lagrange principle were obtained.

关 键 词：转动惯量 广义维里定理 时间积分 D'Alembert原理 非线性非完整转动相对论系统 广义能量积分 

分 类 号：O316[理学—一般力学与力学基础] O412.1[理学—力学]