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One More Tool for Understanding Resonance and the Way for a New Definition
Author(s) -
Emanuel Gluskin,
Doron Shmilovitz,
Yoash Levron
Publication year - 2013
Publication title -
journal of engineering
Language(s) - English
Resource type - Journals
eISSN - 2314-4912
pISSN - 2314-4904
DOI - 10.1155/2013/414109
Subject(s) - convolution (computer science) , time domain , frequency domain , resonance (particle physics) , computer science , fourier series , waveform , transient (computer programming) , point (geometry) , domain (mathematical analysis) , fourier transform , fourier analysis , algorithm , mathematical analysis , mathematics , physics , artificial intelligence , geometry , telecommunications , radar , particle physics , artificial neural network , computer vision , operating system
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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