摘要
物理学是所有自然科学的基础,而力学在物理学中占有极重要的地位。本文以力学中的牛顿第二定律和电磁学中的基尔霍夫电路定律这两个不同领域的方程为切入点,通过单自由度阻尼谐振子的力学系统和LRC串并联电路的类比,逐步揭示力学和电磁学系统的相似性。根据能量转换的普遍规律,本文运用分析力学的方法构造了一个统一描述力学-电磁学框架的拉格朗日方程,并尝试探讨方程本质的物理解释。
Physics is the foundation of all natural science,and mechanics plays an extremely important role in physics.In this paper,we take the Newton＇s second law in mechanics and the Kirchhoff＇s circuit law in electromagnetism,which are equations in two different fields,as the starting point,and reveal the surprising similarities between mechanical and electrical systems by analogy between the mechanical system of a single degree of freedom damped harmonic oscillator and the LRCSeries parallel circuits.On top of that,according to the universal law of energy conversion,using the method of analytical mechanics,we construct a set of unified Lagrange equations to describe the mechanical electromagnetic framework,and try to explore the essential interpretation of the equations.
作者
成实
张雅男
雷勇
CHENG Shi ,ZHANG Yanan, LEI Yong(School of Physics and Optoelectronies Engineering, Nanjing University of Information Science and Technology, Nanjing Jiangsu 21004)
出处
《物理与工程》
2018年第2期99-103,共5页
Physics and Engineering
关键词
拉格朗日描述
力学系统
分析力学
电学系统
类比与统一
Lagrange description~ mechanical system~ analytical mechanics
electrical sys-tem
analogy and unification
