Nonlinear oscillator acceleration and period variation with amplitude

A classic nonlinear spring mass oscillator, the nonlinearity of which could be varied by changing the initial stretching of the spring, was used to investigate how the amplitude dependence of the period and the harmonic content depended on the nonlinearity. The oscillations were measured with a phot...

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Bibliographic Details
Published in:American journal of physics 2023-12, Vol.91 (12), p.979-987
Main Author: Hinrichsen, Peter F.
Format: Article
Language:English
Subjects:
Fourier analysis
Harmonic analysis
Nonlinear systems
Oscillators
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Summary:A classic nonlinear spring mass oscillator, the nonlinearity of which could be varied by changing the initial stretching of the spring, was used to investigate how the amplitude dependence of the period and the harmonic content depended on the nonlinearity. The oscillations were measured with a photogate and a MEMS accelerometer, allowing both the oscillation period and the Fourier components of the motion to be precisely determined. The results were in good agreement with theory.
ISSN:0002-9505
1943-2909
DOI:10.1119/5.0139124