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A Smooth and Discontinuous OscillatorThe SD OscillatorSD oscillator

A Smooth and Discontinuous Oscillator: The SD OscillatorSD oscillator [This chapter introduces briefly the smooth and discontinuous (SD) oscillator which is a simple mechanical model or a geometrical oscillator with both smooth and discontinuous dynamics depending on the value of a geometrical parameterGeometrical parameter. Like the traditional harmonic oscillatorHarmonic oscillator, this model is also a simple mass-spring systemMass-spring system comprising a lumped mass linked by a pair of linear springs pinged to its rigid supports vibrating along the perpendicular bisector of the supports. The overview of the system with the definitions and the fundamental properties without detailed explanation, which will be expanded different topics discussed in the following chapters from Chaps. 3 to 6.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Smooth and Discontinuous OscillatorThe SD OscillatorSD oscillator

Part of the Springer Tracts in Mechanical Engineering Book Series
Cao, Qingjie; Léger, Alain
Springer Journals — Sep 28, 2016
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11 pages

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Publisher
Springer Berlin Heidelberg
Copyright
© Springer-Verlag Berlin Heidelberg 2017
ISBN
978-3-662-53092-4
Pages
11 –22
DOI
10.1007/978-3-662-53094-8_2
Publisher site
See Chapter on Publisher Site

Abstract

[This chapter introduces briefly the smooth and discontinuous (SD) oscillator which is a simple mechanical model or a geometrical oscillator with both smooth and discontinuous dynamics depending on the value of a geometrical parameterGeometrical parameter. Like the traditional harmonic oscillatorHarmonic oscillator, this model is also a simple mass-spring systemMass-spring system comprising a lumped mass linked by a pair of linear springs pinged to its rigid supports vibrating along the perpendicular bisector of the supports. The overview of the system with the definitions and the fundamental properties without detailed explanation, which will be expanded different topics discussed in the following chapters from Chaps. 3 to 6.]

Published: Sep 28, 2016

Keywords: Kutta methodRunge; Chaotic Attractor; Linear Spring; Periodic Attractor; Rigid Support

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