Analysis and Visualization of Dual Relationship between Electrical LC Oscillation and Ball Mechanical Oscillation

Henghui Xie,Mengwei Li, Qixin Ding,Jiacheng Ruan,Hengxu Zhang

2020 IEEE 3rd Student Conference on Electrical Machines and Systems (SCEMS)(2020)

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摘要
The research on the dual relationship between electrical LC oscillation and ball mechanical oscillation is of great significance to explore the similar dual phenomena in nature, and can provide reference cases for the exploration of unknown physical relations. In this paper, the change process of current, voltage, electric energy and other physical quantities during LC and RLC oscillation circuit operation is analyzed; in the aspect of ball mechanical oscillation, two motion models of spring simple harmonic vibration and sliding down the bowl wall are proposed, and the physical quantities such as velocity, potential energy and kinetic energy in the motion process are analyzed; finally, according to the physical quantities of LC oscillation and mechanical oscillation, the process and results are solved The duality analysis shows that there is a certain dual relationship between the two groups of physical quantities.
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关键词
duality analysis,LC oscillation circuit,ball mechanical oscillation
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