大学物理 ›› 2022, Vol. 41 ›› Issue (3): 16-.doi: 10.16854/j.cnki.1000-0712.210453
• 教学讨论 • 上一篇 下一篇
李琛，徐丽佳，张小明，毛长荣，谢芳
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LEE Chern1, XU Li-jia1, ZHANG Xiao-ming1, MAO Chang-ning2, XIE Fang1
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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.
关键词: 非等时变分, 拉格朗日方程, 最小作用量原理
Abstract: 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.
Key words: asynchronous variation, Lagrange,s equation, principle of least action
李琛, 徐丽佳, 张小明, 毛长荣, 谢芳. 非等时变分与拉格朗日方程[J]. 大学物理, 2022, 41(3): 16-.
LEE Chern, XU Li-jia, ZHANG Xiao-ming, MAO Chang-ning, XIE Fang. Asynchronous variation and Lagrange,s equation[J]. College Physics, 2022, 41(3): 16-.
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链接本文: https://dxwl.bnu.edu.cn/CN/10.16854/j.cnki.1000-0712.210453
https://dxwl.bnu.edu.cn/CN/Y2022/V41/I3/16
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