DETERMINATION OF PHYSICAL PROPERTIES OF LAMINATED COMPOSITE BEAM VIA THE INVERSE VIBRATION PROBLEM METHOD
In this study, some physical properties of a laminated composite beam were estimated by using the inverse vibration problem method. Laminated composite plate was modeled and simulated to obtain vibration responses for different length-to-thickness ratios in ANSYS. A numerical model of the laminated...
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Format: | Article |
Language: | English |
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Universiti Malaysia Pahang Publishing
2013-12-01
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Series: | Journal of Mechanical Engineering and Sciences |
Subjects: | |
Online Access: | http://jmes.ump.edu.my/images/Volume_5/7_Balc%20and%20Gndodu.pdf |
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author | Murat Balcı Ömer Gündoğdu |
author_facet | Murat Balcı Ömer Gündoğdu |
author_sort | Murat Balcı |
collection | DOAJ |
description | In this study, some physical properties of a laminated composite beam were estimated by using the inverse vibration problem method. Laminated composite plate was modeled and simulated to obtain vibration responses for different length-to-thickness ratios in ANSYS. A numerical model of the laminated composite beam with unknown parameters was also developed using a two-dimensional finite element model by utilizing the Euler-Bernoulli beam theory. Then, these two models were embedded into the optimization program to form the objective function to be minimized using genetic algorithms. After minimizing the squared difference of the natural frequencies from these two models, the unknown parameters of the laminated composite beam were found. It is observed in this study that the Euler-Bernoulli beam theory suppositions approximated the real results with a rate of %0.026 error as the thickness of the beam got thinner. The estimated values were finally compared with the expected values and a very good correspondence was observed. |
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id | doaj.art-97223fd73ee44108b02eaa3913e16f87 |
institution | Directory Open Access Journal |
issn | 2289-4659 2231-8380 |
language | English |
last_indexed | 2024-03-12T06:24:07Z |
publishDate | 2013-12-01 |
publisher | Universiti Malaysia Pahang Publishing |
record_format | Article |
series | Journal of Mechanical Engineering and Sciences |
spelling | doaj.art-97223fd73ee44108b02eaa3913e16f872023-09-03T02:03:06ZengUniversiti Malaysia Pahang PublishingJournal of Mechanical Engineering and Sciences2289-46592231-83802013-12-01561162210.15282/jmes.5.2013.7.0058 DETERMINATION OF PHYSICAL PROPERTIES OF LAMINATED COMPOSITE BEAM VIA THE INVERSE VIBRATION PROBLEM METHODMurat Balcı0Ömer Gündoğdu1Bayburt University. Engineering Faculty. Mechanical Engineering, Bayburt, Turkey.AtatürkUniversity. Engineering Faculty. Mechanical Engineering, Erzurum, Turkey.In this study, some physical properties of a laminated composite beam were estimated by using the inverse vibration problem method. Laminated composite plate was modeled and simulated to obtain vibration responses for different length-to-thickness ratios in ANSYS. A numerical model of the laminated composite beam with unknown parameters was also developed using a two-dimensional finite element model by utilizing the Euler-Bernoulli beam theory. Then, these two models were embedded into the optimization program to form the objective function to be minimized using genetic algorithms. After minimizing the squared difference of the natural frequencies from these two models, the unknown parameters of the laminated composite beam were found. It is observed in this study that the Euler-Bernoulli beam theory suppositions approximated the real results with a rate of %0.026 error as the thickness of the beam got thinner. The estimated values were finally compared with the expected values and a very good correspondence was observed.http://jmes.ump.edu.my/images/Volume_5/7_Balc%20and%20Gndodu.pdfInverse problemfinite element methodlaminated composite beamgenetic algorithmfree vibration |
spellingShingle | Murat Balcı Ömer Gündoğdu DETERMINATION OF PHYSICAL PROPERTIES OF LAMINATED COMPOSITE BEAM VIA THE INVERSE VIBRATION PROBLEM METHOD Journal of Mechanical Engineering and Sciences Inverse problem finite element method laminated composite beam genetic algorithm free vibration |
title | DETERMINATION OF PHYSICAL PROPERTIES OF LAMINATED COMPOSITE BEAM VIA THE INVERSE VIBRATION PROBLEM METHOD |
title_full | DETERMINATION OF PHYSICAL PROPERTIES OF LAMINATED COMPOSITE BEAM VIA THE INVERSE VIBRATION PROBLEM METHOD |
title_fullStr | DETERMINATION OF PHYSICAL PROPERTIES OF LAMINATED COMPOSITE BEAM VIA THE INVERSE VIBRATION PROBLEM METHOD |
title_full_unstemmed | DETERMINATION OF PHYSICAL PROPERTIES OF LAMINATED COMPOSITE BEAM VIA THE INVERSE VIBRATION PROBLEM METHOD |
title_short | DETERMINATION OF PHYSICAL PROPERTIES OF LAMINATED COMPOSITE BEAM VIA THE INVERSE VIBRATION PROBLEM METHOD |
title_sort | determination of physical properties of laminated composite beam via the inverse vibration problem method |
topic | Inverse problem finite element method laminated composite beam genetic algorithm free vibration |
url | http://jmes.ump.edu.my/images/Volume_5/7_Balc%20and%20Gndodu.pdf |
work_keys_str_mv | AT muratbalcı determinationofphysicalpropertiesoflaminatedcompositebeamviatheinversevibrationproblemmethod AT omergundogdu determinationofphysicalpropertiesoflaminatedcompositebeamviatheinversevibrationproblemmethod |