Size-Dependent Free Vibrations of FG Polymer Composite Curved Nanobeams Reinforced with Graphene Nanoplatelets Resting on Pasternak Foundations
This paper presents a free vibration analysis of functionally graded (FG) polymer composite curved nanobeams reinforced with graphene nanoplatelets resting on a Pasternak foundation. The size-dependent governing equations of motion are derived by applying the Hamilton’s principle and the d...
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| Format: | Article |
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MDPI AG
2019-04-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/9/8/1580 |
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| author | Mohammad Arefi Elyas Mohammad-Rezaei Bidgoli Rossana Dimitri Francesco Tornabene J. N. Reddy |
| author_facet | Mohammad Arefi Elyas Mohammad-Rezaei Bidgoli Rossana Dimitri Francesco Tornabene J. N. Reddy |
| author_sort | Mohammad Arefi |
| collection | DOAJ |
| description | This paper presents a free vibration analysis of functionally graded (FG) polymer composite curved nanobeams reinforced with graphene nanoplatelets resting on a Pasternak foundation. The size-dependent governing equations of motion are derived by applying the Hamilton’s principle and the differential law consequent (but not equivalent) to Eringen’s strain-driven nonlocal integral elasticity model equipped with the special bi-exponential averaging kernel. The displacement field of the problem is here described in polar coordinates, according to the first order shear deformation theory. A large parametric investigation is performed, which includes different FG patterns, different boundary conditions, but also different geometrical parameters, number of layers, weight fractions, and Pasternak parameters. |
| first_indexed | 2024-12-11T13:37:20Z |
| format | Article |
| id | doaj.art-a1a346614ac94007b88f431b68730de5 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-12-11T13:37:20Z |
| publishDate | 2019-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-a1a346614ac94007b88f431b68730de52022-12-22T01:04:58ZengMDPI AGApplied Sciences2076-34172019-04-0198158010.3390/app9081580app9081580Size-Dependent Free Vibrations of FG Polymer Composite Curved Nanobeams Reinforced with Graphene Nanoplatelets Resting on Pasternak FoundationsMohammad Arefi0Elyas Mohammad-Rezaei Bidgoli1Rossana Dimitri2Francesco Tornabene3J. N. Reddy4Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan 87317-51167, IranDepartment of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan 87317-51167, IranDepartment of Innovation Engineering, University of Salento, 73100 Lecce, ItalyDepartment of Innovation Engineering, University of Salento, 73100 Lecce, ItalyAdvanced Computational Mechanics Laboratory, Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843, USAThis paper presents a free vibration analysis of functionally graded (FG) polymer composite curved nanobeams reinforced with graphene nanoplatelets resting on a Pasternak foundation. The size-dependent governing equations of motion are derived by applying the Hamilton’s principle and the differential law consequent (but not equivalent) to Eringen’s strain-driven nonlocal integral elasticity model equipped with the special bi-exponential averaging kernel. The displacement field of the problem is here described in polar coordinates, according to the first order shear deformation theory. A large parametric investigation is performed, which includes different FG patterns, different boundary conditions, but also different geometrical parameters, number of layers, weight fractions, and Pasternak parameters.https://www.mdpi.com/2076-3417/9/8/1580composite curved nanobeamfirst-order shear deformation theorygraphene nanoplateletPasternak foundationsize-dependent vibration |
| spellingShingle | Mohammad Arefi Elyas Mohammad-Rezaei Bidgoli Rossana Dimitri Francesco Tornabene J. N. Reddy Size-Dependent Free Vibrations of FG Polymer Composite Curved Nanobeams Reinforced with Graphene Nanoplatelets Resting on Pasternak Foundations Applied Sciences composite curved nanobeam first-order shear deformation theory graphene nanoplatelet Pasternak foundation size-dependent vibration |
| title | Size-Dependent Free Vibrations of FG Polymer Composite Curved Nanobeams Reinforced with Graphene Nanoplatelets Resting on Pasternak Foundations |
| title_full | Size-Dependent Free Vibrations of FG Polymer Composite Curved Nanobeams Reinforced with Graphene Nanoplatelets Resting on Pasternak Foundations |
| title_fullStr | Size-Dependent Free Vibrations of FG Polymer Composite Curved Nanobeams Reinforced with Graphene Nanoplatelets Resting on Pasternak Foundations |
| title_full_unstemmed | Size-Dependent Free Vibrations of FG Polymer Composite Curved Nanobeams Reinforced with Graphene Nanoplatelets Resting on Pasternak Foundations |
| title_short | Size-Dependent Free Vibrations of FG Polymer Composite Curved Nanobeams Reinforced with Graphene Nanoplatelets Resting on Pasternak Foundations |
| title_sort | size dependent free vibrations of fg polymer composite curved nanobeams reinforced with graphene nanoplatelets resting on pasternak foundations |
| topic | composite curved nanobeam first-order shear deformation theory graphene nanoplatelet Pasternak foundation size-dependent vibration |
| url | https://www.mdpi.com/2076-3417/9/8/1580 |
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