Response of Free Vibration of Dynamical Systems with Fractional Derivatives
碩士 === 國立臺灣科技大學 === 營建工程系 === 104 === This study presents a fundamental solution based on the Laplace transform method for a dynamical system with fractional derivatives. The system being investigated is a typical spring-mass system with an additional fractional order damping. This study also obser...
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ndltd-TW-104NTUS55120562017-09-17T04:24:31Z http://ndltd.ncl.edu.tw/handle/53443783416385973945 Response of Free Vibration of Dynamical Systems with Fractional Derivatives 分數階微分系統自由振盪反應解析 Chun-Chieh Yu 游竣傑 碩士 國立臺灣科技大學 營建工程系 104 This study presents a fundamental solution based on the Laplace transform method for a dynamical system with fractional derivatives. The system being investigated is a typical spring-mass system with an additional fractional order damping. This study also observes the response variations by changing the coefficient and the order of fractional derivatives, and the damping ratio parameter. The Caputo fractional derivative is assumed with an order α satisfying 0<α<1. The results show that the displacement responses exhibit ossillatory behavier with amplitude decaying over time. The displacement ultimately reaches zero in a smooth form. Addition to the displacement response, the associated velocity response is also presented. Where a similarly decayed ossillatory response type is observed. Ching-Tung Hung 黃慶東 2016 學位論文 ; thesis 70 zh-TW |
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碩士 === 國立臺灣科技大學 === 營建工程系 === 104 === This study presents a fundamental solution based on the Laplace transform method for a dynamical system with fractional derivatives. The system being investigated is a typical spring-mass system with an additional fractional order damping. This study also observes the response variations by changing the coefficient and the order of fractional derivatives, and the damping ratio parameter. The Caputo fractional derivative is assumed with an order α satisfying 0<α<1.
The results show that the displacement responses exhibit ossillatory behavier with amplitude decaying over time. The displacement ultimately reaches zero in a smooth form. Addition to the displacement response, the associated velocity response is also presented. Where a similarly decayed ossillatory response type is observed.
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Ching-Tung Hung |
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Ching-Tung Hung Chun-Chieh Yu 游竣傑 |
author |
Chun-Chieh Yu 游竣傑 |
spellingShingle |
Chun-Chieh Yu 游竣傑 Response of Free Vibration of Dynamical Systems with Fractional Derivatives |
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Chun-Chieh Yu |
title |
Response of Free Vibration of Dynamical Systems with Fractional Derivatives |
title_short |
Response of Free Vibration of Dynamical Systems with Fractional Derivatives |
title_full |
Response of Free Vibration of Dynamical Systems with Fractional Derivatives |
title_fullStr |
Response of Free Vibration of Dynamical Systems with Fractional Derivatives |
title_full_unstemmed |
Response of Free Vibration of Dynamical Systems with Fractional Derivatives |
title_sort |
response of free vibration of dynamical systems with fractional derivatives |
publishDate |
2016 |
url |
http://ndltd.ncl.edu.tw/handle/53443783416385973945 |
work_keys_str_mv |
AT chunchiehyu responseoffreevibrationofdynamicalsystemswithfractionalderivatives AT yóujùnjié responseoffreevibrationofdynamicalsystemswithfractionalderivatives AT chunchiehyu fēnshùjiēwēifēnxìtǒngzìyóuzhèndàngfǎnyīngjiěxī AT yóujùnjié fēnshùjiēwēifēnxìtǒngzìyóuzhèndàngfǎnyīngjiěxī |
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1718537995895701504 |