非等时变分与拉格朗日方程  

Asynchronous variation and Lagrange’s equation

作　　者：李琛 徐丽佳 张小明 毛长荣 谢芳[1] LEE Chern;XU Li-jia;ZHANG Xiao-ming;MAO Chang-ning;XIE Fang(College of Physical Science and Engineering Technology,Yichun College,Yichun,Jiangxi 336000,China;Yichun No.3 High School,Yichun,Jiangxi 336000,China)

机构地区：[1]宜春学院物理科学与工程技术学院,江西宜春336000 [2]宜春市第三中学,江西宜春336000

出　　处：《大学物理》2022年第3期16-17,共2页College Physics

基　　金：国家自然科学基金(12164049);江西省教改项目(JXJG-20-15-10);江西省教育厅科学技术研究项目(GJJ201609)资助。

摘　　要：在理论力学的教学中,基于最小作用量原理推导拉格朗日方程的时候,一般假设了等时变分的条件.本文在非等时变分的条件下重新推导了拉格朗日方程,并解释了非等时变分的物理含义.In the teaching of theoretical mechanics,Lagrange’s equation is deduced based on the principle of least action,and the condition of isochronous variation is generally assumed.Here the Lagrange’s equation is rederived under the condition of asynchronous variation and its physical meaning is explained.

关 键 词：非等时变分 拉格朗日方程 最小作用量原理 

分 类 号：O316[理学—一般力学与力学基础]