拉格朗日方程在点的运动分析中的应用  

Application of the Lagrange Equation to Kinematics Formulations of Particles

作　　者：王养丽[1] 王漳奇 马岗 

机构地区：[1]西安武警工程学院,陕西西安710086 [2]华北电力大学机械工程系,河北保定071003 [3]保定供电局,河北保定071000

出　　处：《华北电力大学学报（自然科学版）》2000年第1期83-86,共4页Journal of North China Electric Power University：Natural Science Edition

摘　　要：利用拉格朗日方程，推证了质点复合运动的加速度合成定理和球坐标系下质点运动加速度的计算公式。研究结果表明了力学理论中的动力学和运动学之间的统一性。The Lagrange equation is a general equation for dynamics of the particle systems. It is used to deal with the problems of kinematics of pericles in this paper. The law for the acceleration of combined motion of particles and the formulas for the motion of particle under the spherical coordinate are obtained by the Lagrange equation. The consistence of the dynamics and kinematics is shown by the research results.

关 键 词：质点动力学 质点运动学 拉格朗日方程 

分 类 号：O316[理学—一般力学与力学基础]