Temperature effects on the vibration characteristics of a functionally graded thick beam
This paper presents the effect of material-temperature dependent on the vibrational characteristics of a functionally graded (FG) thick beam by using finite element method. The beam is modeled by higher order shear deformation theory (HOBT), which is accommodated for a thick beam. The material prope...
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Format: | Article |
Language: | English |
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Elsevier
2013-09-01
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Series: | Ain Shams Engineering Journal |
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Online Access: | http://www.sciencedirect.com/science/article/pii/S2090447912001001 |
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author | Amal E. Alshorbagy |
author_facet | Amal E. Alshorbagy |
author_sort | Amal E. Alshorbagy |
collection | DOAJ |
description | This paper presents the effect of material-temperature dependent on the vibrational characteristics of a functionally graded (FG) thick beam by using finite element method. The beam is modeled by higher order shear deformation theory (HOBT), which is accommodated for a thick beam. The material properties are proposed to be temperature-dependent and vary continuously through the thickness direction according to a power-law distribution. The equation of motion is derived by using Lagrange’s equations. The finite element method is exploited to discretize the model and obtain a numerical solution of the equation of motion. The model is verified and compared with previously published works. The effects of material distributions and slenderness ratios on the fundamental frequencies and mode shapes are presented. Also, the effects of material-temperature dependency on the fundamental frequencies are figure out. Results show that the former mentioned effects play a very important role on the dynamic behavior of thick FG beams. |
first_indexed | 2024-12-16T15:24:35Z |
format | Article |
id | doaj.art-909c1bafc44c46bd842a228a01f2912c |
institution | Directory Open Access Journal |
issn | 2090-4479 |
language | English |
last_indexed | 2024-12-16T15:24:35Z |
publishDate | 2013-09-01 |
publisher | Elsevier |
record_format | Article |
series | Ain Shams Engineering Journal |
spelling | doaj.art-909c1bafc44c46bd842a228a01f2912c2022-12-21T22:26:33ZengElsevierAin Shams Engineering Journal2090-44792013-09-014345546410.1016/j.asej.2012.11.001Temperature effects on the vibration characteristics of a functionally graded thick beamAmal E. AlshorbagyThis paper presents the effect of material-temperature dependent on the vibrational characteristics of a functionally graded (FG) thick beam by using finite element method. The beam is modeled by higher order shear deformation theory (HOBT), which is accommodated for a thick beam. The material properties are proposed to be temperature-dependent and vary continuously through the thickness direction according to a power-law distribution. The equation of motion is derived by using Lagrange’s equations. The finite element method is exploited to discretize the model and obtain a numerical solution of the equation of motion. The model is verified and compared with previously published works. The effects of material distributions and slenderness ratios on the fundamental frequencies and mode shapes are presented. Also, the effects of material-temperature dependency on the fundamental frequencies are figure out. Results show that the former mentioned effects play a very important role on the dynamic behavior of thick FG beams.http://www.sciencedirect.com/science/article/pii/S2090447912001001Free vibrationFG thick beamMaterial-temperature dependentHigher order shear deformation theoryFinite element method |
spellingShingle | Amal E. Alshorbagy Temperature effects on the vibration characteristics of a functionally graded thick beam Ain Shams Engineering Journal Free vibration FG thick beam Material-temperature dependent Higher order shear deformation theory Finite element method |
title | Temperature effects on the vibration characteristics of a functionally graded thick beam |
title_full | Temperature effects on the vibration characteristics of a functionally graded thick beam |
title_fullStr | Temperature effects on the vibration characteristics of a functionally graded thick beam |
title_full_unstemmed | Temperature effects on the vibration characteristics of a functionally graded thick beam |
title_short | Temperature effects on the vibration characteristics of a functionally graded thick beam |
title_sort | temperature effects on the vibration characteristics of a functionally graded thick beam |
topic | Free vibration FG thick beam Material-temperature dependent Higher order shear deformation theory Finite element method |
url | http://www.sciencedirect.com/science/article/pii/S2090447912001001 |
work_keys_str_mv | AT amalealshorbagy temperatureeffectsonthevibrationcharacteristicsofafunctionallygradedthickbeam |