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contributor authorChen, Y. M.
contributor authorLiu, Q. X.
contributor authorLiu, J. K.
date accessioned2019-03-17T10:53:38Z
date available2019-03-17T10:53:38Z
date copyright11/14/2018 12:00:00 AM
date issued2019
identifier issn0021-8936
identifier otherjam_086_02_024501.pdf
identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4256364
description abstractThis paper presents an investigation on the free vibration of an oscillator containing a viscoelastic damping modeled by fractional derivative (FD). Based on the fact that the vibration has slowly changing decay rate and frequency, we present an approach to analytically obtain the initial decay rate and frequency. In addition, ordinary differential equations governing the decay rate and frequency are deduced, according to which accurate approximation is obtained for the free vibration. Numerical examples are presented to validate the accuracy and effectiveness of the presented approach. Based on the obtained results, we analyze the decay rate and the frequency of the free vibration. Emphasis is put on their time-dependence, indicating that the decay rate decreases but the frequency increases with time increasing.
publisherThe American Society of Mechanical Engineers (ASME)
titleTime-Dependent Decay Rate and Frequency for Free Vibration of Fractional Oscillator
typeJournal Paper
journal volume86
journal issue2
journal titleJournal of Applied Mechanics
identifier doi10.1115/1.4041824
journal fristpage24501
journal lastpage024501-6
treeJournal of Applied Mechanics:;2019:;volume( 086 ):;issue: 002
contenttypeFulltext


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