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Application of the amplitude-frequency formulation to a nonlinear vibration system typified by a mass attached to a stretched wire

Application of the amplitude-frequency formulation to a nonlinear vibration system typified by a mass attached to a stretched wire

The He’s Amplitude-Frequency Formulation is applied to study the periodic solutions of a strongly nonlinear system. This system corresponds to the motion of a mass attached to a stretched wire. The usefulness and effectiveness of the proposed technique is illustrated. The results are compared with e...

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Main Authors: Akbarzade, M., Farshidianfar, A.
Format: Article
Language:English
Published: Інститут механіки ім. С.П. Тимошенка НАН України 2014
Series:Прикладная механика
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/100638
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spelling irk-123456789-1006382016-05-25T03:02:54Z Application of the amplitude-frequency formulation to a nonlinear vibration system typified by a mass attached to a stretched wire Akbarzade, M. Farshidianfar, A. The He’s Amplitude-Frequency Formulation is applied to study the periodic solutions of a strongly nonlinear system. This system corresponds to the motion of a mass attached to a stretched wire. The usefulness and effectiveness of the proposed technique is illustrated. The results are compared with exact solutions and those obtained by the harmonic balance show a good accuracy. Approximate frequencies are valid for the complete range of vibration amplitudes. Excellent ag Амплітудно-частотний підхід Хе застосовано до вивчення періодичних розв’язків сильно нелінійних систем. Проілюстровано корисність і ефективність запропонованої методики. Результати порівняно з точними розв‘язками і розв‘язками, отриманими на основі енергетичного балансу. Порівняння показало добру точність. Наближено обчислені частоти виявилися вірними у всьому діапазоні амплітуд коливань. Продемонстровано і обговорено узгодженість між наближеними та точними значеннями частот. 2014 Article Application of the amplitude-frequency formulation to a nonlinear vibration system typified by a mass attached to a stretched wire / M. Akbarzade, A. Farshidianfar // Прикладная механика. — 2014. — Т. 50, № 4. — С. 137-144. — Бібліогр.: 19 назв. — англ. 0032-8243 http://dspace.nbuv.gov.ua/handle/123456789/100638 en Прикладная механика Інститут механіки ім. С.П. Тимошенка НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description The He’s Amplitude-Frequency Formulation is applied to study the periodic solutions of a strongly nonlinear system. This system corresponds to the motion of a mass attached to a stretched wire. The usefulness and effectiveness of the proposed technique is illustrated. The results are compared with exact solutions and those obtained by the harmonic balance show a good accuracy. Approximate frequencies are valid for the complete range of vibration amplitudes. Excellent ag
format Article
author Akbarzade, M.
Farshidianfar, A.
spellingShingle Akbarzade, M.
Farshidianfar, A.
Application of the amplitude-frequency formulation to a nonlinear vibration system typified by a mass attached to a stretched wire
Прикладная механика
author_facet Akbarzade, M.
Farshidianfar, A.
author_sort Akbarzade, M.
title Application of the amplitude-frequency formulation to a nonlinear vibration system typified by a mass attached to a stretched wire
title_short Application of the amplitude-frequency formulation to a nonlinear vibration system typified by a mass attached to a stretched wire
title_full Application of the amplitude-frequency formulation to a nonlinear vibration system typified by a mass attached to a stretched wire
title_fullStr Application of the amplitude-frequency formulation to a nonlinear vibration system typified by a mass attached to a stretched wire
title_full_unstemmed Application of the amplitude-frequency formulation to a nonlinear vibration system typified by a mass attached to a stretched wire
title_sort application of the amplitude-frequency formulation to a nonlinear vibration system typified by a mass attached to a stretched wire
publisher Інститут механіки ім. С.П. Тимошенка НАН України
publishDate 2014
url http://dspace.nbuv.gov.ua/handle/123456789/100638
citation_txt Application of the amplitude-frequency formulation to a nonlinear vibration system typified by a mass attached to a stretched wire / M. Akbarzade, A. Farshidianfar // Прикладная механика. — 2014. — Т. 50, № 4. — С. 137-144. — Бібліогр.: 19 назв. — англ.
series Прикладная механика
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AT farshidianfara applicationoftheamplitudefrequencyformulationtoanonlinearvibrationsystemtypifiedbyamassattachedtoastretchedwire
first_indexed 2024-03-30T08:50:46Z
last_indexed 2024-03-30T08:50:46Z
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