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Nonlinear coupled oscillators and Fourier transforms: An advanced undergraduate laboratory

 

作者: P. A. DeYoung,   D. LaPointe,   J. Levy,   W. Lorenz,  

 

期刊: American Journal of Physics  （AIP Available online 1996）
卷期: Volume 64, issue 7  

页码: 898-902

 

ISSN:0002-9505

 

年代: 1996

 

DOI:10.1119/1.18118

 

出版商: American Association of Physics Teachers

 

关键词: OSCILLATORS;FOURIER TRANSFORMATION;RUNGE−KUTTA METHOD;NORMAL−MODE ANALYSIS;LABORATORY EQUIPMENT;EDUCATIONAL TOOLS;01.50.P;03.20

 

数据来源: AIP

 

摘要:

As part of an upper‐level laboratory course, the oscillations of one and two mass systems on an airtrack were measured in real time. Both linear oscillations with spring forces and nonlinear oscillations with magnetic forces were analyzed with fast Fourier transforms and compared to theoretical predictions. The results for the coupled linear oscillator agree with the theoretical values to within 0.5%. The coupled nonlinear oscillator results were modeled numerically.

 

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