Free Vibration and Stability of Axially Functionally Graded Tapered Euler-Bernoulli Beams
Structural analysis of axially functionally graded tapered Euler-Bernoulli beams is studied using finite element method. A beam element is proposed which takes advantage of the shape functions of homogeneous uniform beam elements. The effects of varying cross-sectional dimensions and mechanical prop...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-2010-0589 |
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| _version_ | 1832567351705337856 |
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| author | Ahmad Shahba Reza Attarnejad Shahin Hajilar |
| author_facet | Ahmad Shahba Reza Attarnejad Shahin Hajilar |
| author_sort | Ahmad Shahba |
| collection | DOAJ |
| description | Structural analysis of axially functionally graded tapered Euler-Bernoulli beams is studied using finite element method. A beam element is proposed which takes advantage of the shape functions of homogeneous uniform beam elements. The effects of varying cross-sectional dimensions and mechanical properties of the functionally graded material are included in the evaluation of structural matrices. This method could be used for beam elements with any distributions of mass density and modulus of elasticity with arbitrarily varying cross-sectional area. Assuming polynomial distributions of modulus of elasticity and mass density, the competency of the element is examined in stability analysis, free longitudinal vibration and free transverse vibration of double tapered beams with different boundary conditions and the convergence rate of the element is then investigated. |
| format | Article |
| id | doaj-art-086e6e9a5c614b2592e81d932e88b611 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-086e6e9a5c614b2592e81d932e88b6112025-02-03T01:01:38ZengWileyShock and Vibration1070-96221875-92032011-01-0118568369610.3233/SAV-2010-0589Free Vibration and Stability of Axially Functionally Graded Tapered Euler-Bernoulli BeamsAhmad Shahba0Reza Attarnejad1Shahin Hajilar2School of Civil Engineering, University College of Engineering, University of Tehran, Tehran, IranSchool of Civil Engineering, University College of Engineering, University of Tehran, Tehran, IranSchool of Civil Engineering, University College of Engineering, University of Tehran, Tehran, IranStructural analysis of axially functionally graded tapered Euler-Bernoulli beams is studied using finite element method. A beam element is proposed which takes advantage of the shape functions of homogeneous uniform beam elements. The effects of varying cross-sectional dimensions and mechanical properties of the functionally graded material are included in the evaluation of structural matrices. This method could be used for beam elements with any distributions of mass density and modulus of elasticity with arbitrarily varying cross-sectional area. Assuming polynomial distributions of modulus of elasticity and mass density, the competency of the element is examined in stability analysis, free longitudinal vibration and free transverse vibration of double tapered beams with different boundary conditions and the convergence rate of the element is then investigated.http://dx.doi.org/10.3233/SAV-2010-0589 |
| spellingShingle | Ahmad Shahba Reza Attarnejad Shahin Hajilar Free Vibration and Stability of Axially Functionally Graded Tapered Euler-Bernoulli Beams Shock and Vibration |
| title | Free Vibration and Stability of Axially Functionally Graded Tapered Euler-Bernoulli Beams |
| title_full | Free Vibration and Stability of Axially Functionally Graded Tapered Euler-Bernoulli Beams |
| title_fullStr | Free Vibration and Stability of Axially Functionally Graded Tapered Euler-Bernoulli Beams |
| title_full_unstemmed | Free Vibration and Stability of Axially Functionally Graded Tapered Euler-Bernoulli Beams |
| title_short | Free Vibration and Stability of Axially Functionally Graded Tapered Euler-Bernoulli Beams |
| title_sort | free vibration and stability of axially functionally graded tapered euler bernoulli beams |
| url | http://dx.doi.org/10.3233/SAV-2010-0589 |
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