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Nonlinear Vibration Analysis of Viscoelastic Plates with Fractional Damping.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Nonlinear Vibration Analysis of Viscoelastic Plates with Fractional Damping./
Author:	Mashrouteh, Shamin.
Description:	1 online resource (119 pages)
Notes:	Source: Masters Abstracts International, Volume: 57-04.
Contained By:	Masters Abstracts International57-04(E).
Subject:	Mechanical engineering. -
Online resource:	click for full text (PQDT)
ISBN:	9780355622539

Nonlinear Vibration Analysis of Viscoelastic Plates with Fractional Damping.
Mashrouteh, Shamin.

Nonlinear Vibration Analysis of Viscoelastic Plates with Fractional Damping. - 1 online resource (119 pages)

Source: Masters Abstracts International, Volume: 57-04.

Thesis (M.A.Sc.)--University of Ontario Institute of Technology (Canada), 2017.

Includes bibliographical references

Fractional calculus has the history as long as the classical calculus, but up to recent years, less attention has been paid to this method due to its complexity and difficulties in dealing with fractional derivatives and fractional integrals. In the present study, the nonlinear vibration analysis of a rectangular composite plate with fractional viscoelastic properties has been analytically investigated. The plate is modeled based on the von Karman plate theory, and the Caputo's fractional derivative has been utilized to mathematically model the viscoelastic behavior of the plate with higher accuracy. Galerkin procedure has been implemented to derive the time-dependent ordinary differential equations of motion. The first two orthogonal mode shapes are considered, and variational iteration method is applied to analyze the nonlinear free vibration of the system. The method of multiple time-scales is utilized to investigate the nonlinear forced vibration of the plate when subjected to an external harmonic force. Primary resonances of the system have been studied and analytical expressions for the frequency-amplitude relationships of each mode are derived. Parametric studies have been performed to examine the effect of various parameters, specifically the fractional derivative order as a key factor, on the damped free vibration response and the forced vibration frequency response.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9780355622539Subjects--Topical Terms:

557493
Mechanical engineering.
Index Terms--Genre/Form:

554714
Electronic books.

Nonlinear Vibration Analysis of Viscoelastic Plates with Fractional Damping.
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500 $a Source: Masters Abstracts International, Volume: 57-04.
500 $a Adviser: Ebrahim Esmailzadeh.
502 $a Thesis (M.A.Sc.)--University of Ontario Institute of Technology (Canada), 2017.
504 $a Includes bibliographical references
520 $a Fractional calculus has the history as long as the classical calculus, but up to recent years, less attention has been paid to this method due to its complexity and difficulties in dealing with fractional derivatives and fractional integrals. In the present study, the nonlinear vibration analysis of a rectangular composite plate with fractional viscoelastic properties has been analytically investigated. The plate is modeled based on the von Karman plate theory, and the Caputo's fractional derivative has been utilized to mathematically model the viscoelastic behavior of the plate with higher accuracy. Galerkin procedure has been implemented to derive the time-dependent ordinary differential equations of motion. The first two orthogonal mode shapes are considered, and variational iteration method is applied to analyze the nonlinear free vibration of the system. The method of multiple time-scales is utilized to investigate the nonlinear forced vibration of the plate when subjected to an external harmonic force. Primary resonances of the system have been studied and analytical expressions for the frequency-amplitude relationships of each mode are derived. Parametric studies have been performed to examine the effect of various parameters, specifically the fractional derivative order as a key factor, on the damped free vibration response and the forced vibration frequency response.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Mechanical engineering. $3 557493
650 4 $a Civil engineering. $3 561339
655 7 $a Electronic books. $2 local $3 554714
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710 2 $a University of Ontario Institute of Technology (Canada). $3 1187286
773 0 $t Masters Abstracts International $g 57-04(E).
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