Free vibration and buckling analysis of axially functionally graded tapered Timoshenko beams using B-spline-based isogeometric analysis
This study considers Timoshenko beam theory and the isogeometric analysis method to investigate the free vibration and buckling of axially functionally graded (AFG) tapered beams. The governing equations are obtained from the kinematic assumptions of Timoshenko beam theory and Hamilton's princi...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-01-01
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| Series: | Heliyon |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844024173331 |
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| author | Farzad Abdi Aazam Ghasemi Alireza Ariaei S. Ali Eftekhari Mehrdad Nasr Mohamad Khaje Khabaz Soheil Salahshour |
| author_facet | Farzad Abdi Aazam Ghasemi Alireza Ariaei S. Ali Eftekhari Mehrdad Nasr Mohamad Khaje Khabaz Soheil Salahshour |
| author_sort | Farzad Abdi |
| collection | DOAJ |
| description | This study considers Timoshenko beam theory and the isogeometric analysis method to investigate the free vibration and buckling of axially functionally graded (AFG) tapered beams. The governing equations are obtained from the kinematic assumptions of Timoshenko beam theory and Hamilton's principle. The isogeometric analysis approach is implemented to solve the motion equations. One-dimensional B-spline basis functions are used to estimate the displacement field, describe the geometry, and illustrate the deformed shapes of the beam. Due to suffering the isogeometric approach from the shear locking phenomenon, the selectively reduced integration is applied. It is shown that this method can mitigate the effect of shear locking. In this attempt, the effect of material non-homogeneity parameters, mass density, Young's modulus, and taper ratio on the critical buckling loads and natural frequencies are considered for various boundary conditions. Several numerical examples show the accuracy and reliability of this method. The obtained results are in accord with the ones in the related articles and can be adopted as future reference solutions. |
| format | Article |
| id | doaj-art-09f441f015fc4032b1c7a2afa630fdf7 |
| institution | Kabale University |
| issn | 2405-8440 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj-art-09f441f015fc4032b1c7a2afa630fdf72025-01-17T04:50:51ZengElsevierHeliyon2405-84402025-01-01111e41302Free vibration and buckling analysis of axially functionally graded tapered Timoshenko beams using B-spline-based isogeometric analysisFarzad Abdi0Aazam Ghasemi1Alireza Ariaei2S. Ali Eftekhari3Mehrdad Nasr4Mohamad Khaje Khabaz5Soheil Salahshour6Department of Mechanical Engineering, University of Delaware, Newark, DE, 19716, USADepartment of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, IranDepartment of Mechanical Engineering, Faculty of Engineering, University of Isfahan, Isfahan, IranDepartment of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Iran; Corresponding author.Department of Solid Mechanic, Faculty of Mechanical Engineering, University of Kashan, Kashan, IranDepartment of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, IranFaculty of Engineering and Natural Sciences, Istanbul Okan University, Istanbul, Turkey; Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey; Faculty of Science and Letters, Piri Reis University, Tuzla, Istanbul, TurkeyThis study considers Timoshenko beam theory and the isogeometric analysis method to investigate the free vibration and buckling of axially functionally graded (AFG) tapered beams. The governing equations are obtained from the kinematic assumptions of Timoshenko beam theory and Hamilton's principle. The isogeometric analysis approach is implemented to solve the motion equations. One-dimensional B-spline basis functions are used to estimate the displacement field, describe the geometry, and illustrate the deformed shapes of the beam. Due to suffering the isogeometric approach from the shear locking phenomenon, the selectively reduced integration is applied. It is shown that this method can mitigate the effect of shear locking. In this attempt, the effect of material non-homogeneity parameters, mass density, Young's modulus, and taper ratio on the critical buckling loads and natural frequencies are considered for various boundary conditions. Several numerical examples show the accuracy and reliability of this method. The obtained results are in accord with the ones in the related articles and can be adopted as future reference solutions.http://www.sciencedirect.com/science/article/pii/S2405844024173331BucklingFree vibrationAxially functionally graded materialIsogeometricTapered timoshenko beam |
| spellingShingle | Farzad Abdi Aazam Ghasemi Alireza Ariaei S. Ali Eftekhari Mehrdad Nasr Mohamad Khaje Khabaz Soheil Salahshour Free vibration and buckling analysis of axially functionally graded tapered Timoshenko beams using B-spline-based isogeometric analysis Heliyon Buckling Free vibration Axially functionally graded material Isogeometric Tapered timoshenko beam |
| title | Free vibration and buckling analysis of axially functionally graded tapered Timoshenko beams using B-spline-based isogeometric analysis |
| title_full | Free vibration and buckling analysis of axially functionally graded tapered Timoshenko beams using B-spline-based isogeometric analysis |
| title_fullStr | Free vibration and buckling analysis of axially functionally graded tapered Timoshenko beams using B-spline-based isogeometric analysis |
| title_full_unstemmed | Free vibration and buckling analysis of axially functionally graded tapered Timoshenko beams using B-spline-based isogeometric analysis |
| title_short | Free vibration and buckling analysis of axially functionally graded tapered Timoshenko beams using B-spline-based isogeometric analysis |
| title_sort | free vibration and buckling analysis of axially functionally graded tapered timoshenko beams using b spline based isogeometric analysis |
| topic | Buckling Free vibration Axially functionally graded material Isogeometric Tapered timoshenko beam |
| url | http://www.sciencedirect.com/science/article/pii/S2405844024173331 |
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