A Novel Approach of the Viscoelasticity of Axially Functional Graded Bar and Application of Harmonic Vibration Analysis of an Isotropic Beam as Support
The use of smart materials and passive controllers in modern technologies has stimulated the study of vibration in elastic systems with viscoelastic damping. It is also possible to create components with precise material distribution coefficients and distinct properties, such as Functionally Graded...
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2024-10-01
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| author | Cihan Demir |
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| author_sort | Cihan Demir |
| collection | DOAJ |
| description | The use of smart materials and passive controllers in modern technologies has stimulated the study of vibration in elastic systems with viscoelastic damping. It is also possible to create components with precise material distribution coefficients and distinct properties, such as Functionally Graded Materials. This work investigates the resonant frequency characteristics of a beam supported at its ends by Axially Functionally Graded (AFG) viscoelastic bars using the finite element method. The set of equations governing motion is obtained by assuming Euler–Bernoulli beam theory for the beam and bar theory for the bars using Lagrange’s equations. The material properties of the functionally graded bar is assumed to vary through the length according to the power law distribution. The longitudinal loss factor values are used to define the internal damping coefficient, which is also dependent on the Young’s modulus value varying along the bar. The effects of the length-varying material properties and internal damping of the FG support bars on the force transmission T<sub>R</sub> and frequency parameters λ are examined in detail. No study has been found in the literature on the vibration of viscoelastic FG bar-supported beams subjected to a harmonic force at the centre point. It is shown that using bars formed with combinations of different materials considering material damping will be useful to keep the vibration level and force transmission at a certain value and control the frequency parameters. |
| format | Article |
| id | doaj-art-bc478dd4632b4f29959e262030e35e41 |
| institution | OA Journals |
| issn | 2076-3417 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj-art-bc478dd4632b4f29959e262030e35e412025-08-20T01:47:41ZengMDPI AGApplied Sciences2076-34172024-10-011419897410.3390/app14198974A Novel Approach of the Viscoelasticity of Axially Functional Graded Bar and Application of Harmonic Vibration Analysis of an Isotropic Beam as SupportCihan Demir0Department of Mechanical Engineering, Faculty of Mechanical Engineering, Yildiz Technical University, Yildiz 34349, TurkeyThe use of smart materials and passive controllers in modern technologies has stimulated the study of vibration in elastic systems with viscoelastic damping. It is also possible to create components with precise material distribution coefficients and distinct properties, such as Functionally Graded Materials. This work investigates the resonant frequency characteristics of a beam supported at its ends by Axially Functionally Graded (AFG) viscoelastic bars using the finite element method. The set of equations governing motion is obtained by assuming Euler–Bernoulli beam theory for the beam and bar theory for the bars using Lagrange’s equations. The material properties of the functionally graded bar is assumed to vary through the length according to the power law distribution. The longitudinal loss factor values are used to define the internal damping coefficient, which is also dependent on the Young’s modulus value varying along the bar. The effects of the length-varying material properties and internal damping of the FG support bars on the force transmission T<sub>R</sub> and frequency parameters λ are examined in detail. No study has been found in the literature on the vibration of viscoelastic FG bar-supported beams subjected to a harmonic force at the centre point. It is shown that using bars formed with combinations of different materials considering material damping will be useful to keep the vibration level and force transmission at a certain value and control the frequency parameters.https://www.mdpi.com/2076-3417/14/19/8974axially functional graded materialaxially functional graded barmaterial dampingharmonic analysisviscoelasticityvibration isolation |
| spellingShingle | Cihan Demir A Novel Approach of the Viscoelasticity of Axially Functional Graded Bar and Application of Harmonic Vibration Analysis of an Isotropic Beam as Support Applied Sciences axially functional graded material axially functional graded bar material damping harmonic analysis viscoelasticity vibration isolation |
| title | A Novel Approach of the Viscoelasticity of Axially Functional Graded Bar and Application of Harmonic Vibration Analysis of an Isotropic Beam as Support |
| title_full | A Novel Approach of the Viscoelasticity of Axially Functional Graded Bar and Application of Harmonic Vibration Analysis of an Isotropic Beam as Support |
| title_fullStr | A Novel Approach of the Viscoelasticity of Axially Functional Graded Bar and Application of Harmonic Vibration Analysis of an Isotropic Beam as Support |
| title_full_unstemmed | A Novel Approach of the Viscoelasticity of Axially Functional Graded Bar and Application of Harmonic Vibration Analysis of an Isotropic Beam as Support |
| title_short | A Novel Approach of the Viscoelasticity of Axially Functional Graded Bar and Application of Harmonic Vibration Analysis of an Isotropic Beam as Support |
| title_sort | novel approach of the viscoelasticity of axially functional graded bar and application of harmonic vibration analysis of an isotropic beam as support |
| topic | axially functional graded material axially functional graded bar material damping harmonic analysis viscoelasticity vibration isolation |
| url | https://www.mdpi.com/2076-3417/14/19/8974 |
| work_keys_str_mv | AT cihandemir anovelapproachoftheviscoelasticityofaxiallyfunctionalgradedbarandapplicationofharmonicvibrationanalysisofanisotropicbeamassupport AT cihandemir novelapproachoftheviscoelasticityofaxiallyfunctionalgradedbarandapplicationofharmonicvibrationanalysisofanisotropicbeamassupport |