One More Tool for Understanding Resonance and the Way for a New Definition

We propose the application of graphical convolution to the analysis of the resonance phenomenon. This time-domain approach encompasses both the finally attained periodic oscillations and the initial transient period. It also provides interesting discussion concerning the analysis of nonsinusoidal...

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Main Authors: Emanuel Gluskin, Doron Shmilovitz, Yoash Levron
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Engineering
Online Access:http://dx.doi.org/10.1155/2013/414109
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author Emanuel Gluskin
Doron Shmilovitz
Yoash Levron
author_facet Emanuel Gluskin
Doron Shmilovitz
Yoash Levron
author_sort Emanuel Gluskin
collection DOAJ
description We propose the application of graphical convolution to the analysis of the resonance phenomenon. This time-domain approach encompasses both the finally attained periodic oscillations and the initial transient period. It also provides interesting discussion concerning the analysis of nonsinusoidal waves, based not on frequency analysis but on direct consideration of waveforms, and thus presenting an introduction to Fourier series. Further developing the point of view of graphical convolution, we arrive at a new definition of resonance in terms of time domain.
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institution Kabale University
issn 2314-4904
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language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Journal of Engineering
spelling doaj-art-0c3fdfb2d6ab443c8aae4d032a5e33b92025-02-03T06:06:59ZengWileyJournal of Engineering2314-49042314-49122013-01-01201310.1155/2013/414109414109One More Tool for Understanding Resonance and the Way for a New DefinitionEmanuel Gluskin0Doron Shmilovitz1Yoash Levron2Electrical Engineering Department, Faculty of Engineering, Kinneret College on the Sea of Galilee, Jordan Valley 15132, IsraelElectrical Engineering Department, Faculty of Engineering, Tel-Aviv University, IsraelElectrical Engineering Department, Faculty of Engineering, Tel-Aviv University, IsraelWe propose the application of graphical convolution to the analysis of the resonance phenomenon. This time-domain approach encompasses both the finally attained periodic oscillations and the initial transient period. It also provides interesting discussion concerning the analysis of nonsinusoidal waves, based not on frequency analysis but on direct consideration of waveforms, and thus presenting an introduction to Fourier series. Further developing the point of view of graphical convolution, we arrive at a new definition of resonance in terms of time domain.http://dx.doi.org/10.1155/2013/414109
spellingShingle Emanuel Gluskin
Doron Shmilovitz
Yoash Levron
One More Tool for Understanding Resonance and the Way for a New Definition
Journal of Engineering
title One More Tool for Understanding Resonance and the Way for a New Definition
title_full One More Tool for Understanding Resonance and the Way for a New Definition
title_fullStr One More Tool for Understanding Resonance and the Way for a New Definition
title_full_unstemmed One More Tool for Understanding Resonance and the Way for a New Definition
title_short One More Tool for Understanding Resonance and the Way for a New Definition
title_sort one more tool for understanding resonance and the way for a new definition
url http://dx.doi.org/10.1155/2013/414109
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AT doronshmilovitz onemoretoolforunderstandingresonanceandthewayforanewdefinition
AT yoashlevron onemoretoolforunderstandingresonanceandthewayforanewdefinition