The Golden Ratio Regularities of Decayed Oscillations

This paper develops the method for linear oscillator decayed oscillations amplitude division into two unequal parts by so called golden proportion. It is shown that the relaxation time of the area under the envelope of the oscillations amplitudes and the amplitudes themselves coincide, which indicat...

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Bibliographic Details
Published in:IOP conference series. Materials Science and Engineering 2021-01, Vol.1016 (1), p.12007
Main Authors: Kosobutskyy, P, Jaworski, N, Farmaha, I, Marikutsa, U, Iwaniec, M
Format: Article
Language:English
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Summary:This paper develops the method for linear oscillator decayed oscillations amplitude division into two unequal parts by so called golden proportion. It is shown that the relaxation time of the area under the envelope of the oscillations amplitudes and the amplitudes themselves coincide, which indicates that the decay time at the golden ratio plays the same role as the relaxation time. This simplifies the algorithm for optimization of oscillatory systems by objective function.
ISSN:1757-8981
1757-899X
DOI:10.1088/1757-899X/1016/1/012007