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...

Full description

Bibliographic Details
Main Author: Amal E. Alshorbagy
Format: Article
Language:English
Published: Elsevier 2013-09-01
Series:Ain Shams Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2090447912001001
_version_ 1818611076674093056
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