Restrained Edges Effect on the Dynamics of Thermoelastic Plates under Different End Conditions

Frequency equations for rectangular plate model with and without the thermoelastic effect for the cases are: all edges are simply supported, all edges are clamped and two opposite edges are clamped others are simply supported.   These were obtained through direct method for simply supported ends us...

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Autores principales: Wael R. Abdul-Majeed, Muhsin J Jweeg, Adnan N Jameel
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Lenguaje:EN
Publicado: Al-Khwarizmi College of Engineering – University of Baghdad 2012
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Acceso en línea:https://doaj.org/article/77857992912a4de0a67a793bf497b6a1
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spelling oai:doaj.org-article:77857992912a4de0a67a793bf497b6a12021-12-02T01:00:24ZRestrained Edges Effect on the Dynamics of Thermoelastic Plates under Different End Conditions1818-11712312-0789https://doaj.org/article/77857992912a4de0a67a793bf497b6a12012-05-01T00:00:00Zhttp://alkej.uobaghdad.edu.iq/index.php/alkej/article/view/125https://doaj.org/toc/1818-1171https://doaj.org/toc/2312-0789 Frequency equations for rectangular plate model with and without the thermoelastic effect for the cases are: all edges are simply supported, all edges are clamped and two opposite edges are clamped others are simply supported.   These were obtained through direct method for simply supported ends using Hamilton’s principle with minimizing Ritz method to total energy (strain and kinetic) for the rest of the boundary conditions. The effect of restraining edges on the frequency and mode shape has been considered. Distributions temperatures have been considered as a uniform temperature the effect of developed thermal stresses due to restrictions of ends conditions on vibration characteristics   of a plate with different will be investigated. it is noticed that the thermal stress will increase with increasing the heatnig temperature and that will cause the natural frequency to be decreased for all types of end conditions and for all modes of frequency. Wael R. Abdul-MajeedMuhsin J JweegAdnan N JameelAl-Khwarizmi College of Engineering – University of BaghdadarticleThermoelasticitythin plateends conditionmode shapenatural frequencyChemical engineeringTP155-156Engineering (General). Civil engineering (General)TA1-2040ENAl-Khawarizmi Engineering Journal, Vol 8, Iss 2 (2012)
institution DOAJ
collection DOAJ
language EN
topic Thermoelasticity
thin plate
ends condition
mode shape
natural frequency
Chemical engineering
TP155-156
Engineering (General). Civil engineering (General)
TA1-2040
spellingShingle Thermoelasticity
thin plate
ends condition
mode shape
natural frequency
Chemical engineering
TP155-156
Engineering (General). Civil engineering (General)
TA1-2040
Wael R. Abdul-Majeed
Muhsin J Jweeg
Adnan N Jameel
Restrained Edges Effect on the Dynamics of Thermoelastic Plates under Different End Conditions
description Frequency equations for rectangular plate model with and without the thermoelastic effect for the cases are: all edges are simply supported, all edges are clamped and two opposite edges are clamped others are simply supported.   These were obtained through direct method for simply supported ends using Hamilton’s principle with minimizing Ritz method to total energy (strain and kinetic) for the rest of the boundary conditions. The effect of restraining edges on the frequency and mode shape has been considered. Distributions temperatures have been considered as a uniform temperature the effect of developed thermal stresses due to restrictions of ends conditions on vibration characteristics   of a plate with different will be investigated. it is noticed that the thermal stress will increase with increasing the heatnig temperature and that will cause the natural frequency to be decreased for all types of end conditions and for all modes of frequency.
format article
author Wael R. Abdul-Majeed
Muhsin J Jweeg
Adnan N Jameel
author_facet Wael R. Abdul-Majeed
Muhsin J Jweeg
Adnan N Jameel
author_sort Wael R. Abdul-Majeed
title Restrained Edges Effect on the Dynamics of Thermoelastic Plates under Different End Conditions
title_short Restrained Edges Effect on the Dynamics of Thermoelastic Plates under Different End Conditions
title_full Restrained Edges Effect on the Dynamics of Thermoelastic Plates under Different End Conditions
title_fullStr Restrained Edges Effect on the Dynamics of Thermoelastic Plates under Different End Conditions
title_full_unstemmed Restrained Edges Effect on the Dynamics of Thermoelastic Plates under Different End Conditions
title_sort restrained edges effect on the dynamics of thermoelastic plates under different end conditions
publisher Al-Khwarizmi College of Engineering – University of Baghdad
publishDate 2012
url https://doaj.org/article/77857992912a4de0a67a793bf497b6a1
work_keys_str_mv AT waelrabdulmajeed restrainededgeseffectonthedynamicsofthermoelasticplatesunderdifferentendconditions
AT muhsinjjweeg restrainededgeseffectonthedynamicsofthermoelasticplatesunderdifferentendconditions
AT adnannjameel restrainededgeseffectonthedynamicsofthermoelasticplatesunderdifferentendconditions
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