Effect of Initial Stress on the Dynamic Response of a Multi-Layered Plate-Strip Subjected to an Arbitrary Inclined Time-Harmonic Force

The forced vibration of a multi-layered plate-strip with initial stress under the action of an arbitrary inclined time-harmonic force resting on a rigid foundation is considered. Within the framework of the piecewise homogeneous body model with the use of the three-dimensional linearized theory of e...

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Main Author: Daşdemir A.
Format: Article
Language:English
Published: Sciendo 2017-08-01
Series:International Journal of Applied Mechanics and Engineering
Subjects:
Online Access:https://doi.org/10.1515/ijame-2017-0034
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spelling doaj-ed5dbbc9567449e581fc72d921a6faca2021-09-05T20:51:07ZengSciendoInternational Journal of Applied Mechanics and Engineering1734-44922353-90032017-08-0122352153710.1515/ijame-2017-0034ijame-2017-0034Effect of Initial Stress on the Dynamic Response of a Multi-Layered Plate-Strip Subjected to an Arbitrary Inclined Time-Harmonic ForceDaşdemir A.0Department of Mathematics, Faculty of Arts and Sciences, Kastamonu University, Kastamonu, TurkeyThe forced vibration of a multi-layered plate-strip with initial stress under the action of an arbitrary inclined time-harmonic force resting on a rigid foundation is considered. Within the framework of the piecewise homogeneous body model with the use of the three-dimensional linearized theory of elastic waves in initially stressed bodies (TLTEWISB), a mathematical modelling is presented in plane strain state. It is assumed that there exists the complete contact interaction at the interface between the layers and the materials of the layer are linearly elastic, homogeneous and isotropic. The governing system of the partial differential equations of motion for the considered problem is solved approximately by employing the Finite Element Method (FEM). Further, the influence of the initial stress parameter on the dynamic response of the plate-strip is presented.https://doi.org/10.1515/ijame-2017-0034multi-layered plate-stripfinite element methodinitial stresstime-harmonic force74h1574s05
collection DOAJ
language English
format Article
sources DOAJ
author Daşdemir A.
spellingShingle Daşdemir A.
Effect of Initial Stress on the Dynamic Response of a Multi-Layered Plate-Strip Subjected to an Arbitrary Inclined Time-Harmonic Force
International Journal of Applied Mechanics and Engineering
multi-layered plate-strip
finite element method
initial stress
time-harmonic force
74h15
74s05
author_facet Daşdemir A.
author_sort Daşdemir A.
title Effect of Initial Stress on the Dynamic Response of a Multi-Layered Plate-Strip Subjected to an Arbitrary Inclined Time-Harmonic Force
title_short Effect of Initial Stress on the Dynamic Response of a Multi-Layered Plate-Strip Subjected to an Arbitrary Inclined Time-Harmonic Force
title_full Effect of Initial Stress on the Dynamic Response of a Multi-Layered Plate-Strip Subjected to an Arbitrary Inclined Time-Harmonic Force
title_fullStr Effect of Initial Stress on the Dynamic Response of a Multi-Layered Plate-Strip Subjected to an Arbitrary Inclined Time-Harmonic Force
title_full_unstemmed Effect of Initial Stress on the Dynamic Response of a Multi-Layered Plate-Strip Subjected to an Arbitrary Inclined Time-Harmonic Force
title_sort effect of initial stress on the dynamic response of a multi-layered plate-strip subjected to an arbitrary inclined time-harmonic force
publisher Sciendo
series International Journal of Applied Mechanics and Engineering
issn 1734-4492
2353-9003
publishDate 2017-08-01
description The forced vibration of a multi-layered plate-strip with initial stress under the action of an arbitrary inclined time-harmonic force resting on a rigid foundation is considered. Within the framework of the piecewise homogeneous body model with the use of the three-dimensional linearized theory of elastic waves in initially stressed bodies (TLTEWISB), a mathematical modelling is presented in plane strain state. It is assumed that there exists the complete contact interaction at the interface between the layers and the materials of the layer are linearly elastic, homogeneous and isotropic. The governing system of the partial differential equations of motion for the considered problem is solved approximately by employing the Finite Element Method (FEM). Further, the influence of the initial stress parameter on the dynamic response of the plate-strip is presented.
topic multi-layered plate-strip
finite element method
initial stress
time-harmonic force
74h15
74s05
url https://doi.org/10.1515/ijame-2017-0034
work_keys_str_mv AT dasdemira effectofinitialstressonthedynamicresponseofamultilayeredplatestripsubjectedtoanarbitraryinclinedtimeharmonicforce
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