Nonlocal Buckling and Vibration Analysis of Triple-Walled ZnO Piezoelectric Timoshenko Nano-beam Subjected to Magneto-Electro-Thermo-Mechanical Loadings
In this study, using the non-local elasticity theory, the buckling and vibration analysis of triple- walled ZnO piezoelectric Timoshenko beam on elastic Pasternak foundation is analytically investigated under magneto-electro-thermo-mechanical loadings. Using the Timoshenko beam free body diagram, th...
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Semnan University
2015-11-01
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| Series: | Mechanics of Advanced Composite Structures |
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| Online Access: | https://macs.semnan.ac.ir/article_397_0d56f9cf990bae14100db906823e345c.pdf |
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| author | Mehdi Mohammadimehr Seyyed Amir Mohammad Managheb Sajad Alimirzaei |
| author_facet | Mehdi Mohammadimehr Seyyed Amir Mohammad Managheb Sajad Alimirzaei |
| author_sort | Mehdi Mohammadimehr |
| collection | DOAJ |
| description | In this study, using the non-local elasticity theory, the buckling and vibration analysis of triple- walled ZnO piezoelectric Timoshenko beam on elastic Pasternak foundation is analytically investigated under magneto-electro-thermo-mechanical loadings. Using the Timoshenko beam free body diagram, the equilibrium equation of Timoshenko nano-beam model is obtained and solved by Navier’s method for a simply-supported nano-beam. The surrounding elastic mediums are simulated by Winkler and Pasternak models and interlayer forces are considered by Lenard-Jones potential. The effects of various parameters including the elastic medium, small scale, length, thickness, van der Waals force on the critical buckling load and non-dimensional natural frequency of triple- walled ZnO nano-beam are investigated. The results of this study show that the critical buckling load reduces with increasing the temperature change, direct electric field, magnetic field, and length of nanotube, and vice versa for the thickness of nanotubes, and two parameters elastic foundations. Also, the non-local critical buckling load and non-dimensional natural frequency of Timoshenko nano-beam are smaller than the local critical buckling load and non-dimensional natural frequency. The results can be useful for designing the smart nano-beam for MEMS and NEMS. |
| format | Article |
| id | doaj-art-0f5bb603569843d19d7c6e4e60929df1 |
| institution | OA Journals |
| issn | 2423-4826 2423-7043 |
| language | English |
| publishDate | 2015-11-01 |
| publisher | Semnan University |
| record_format | Article |
| series | Mechanics of Advanced Composite Structures |
| spelling | doaj-art-0f5bb603569843d19d7c6e4e60929df12025-08-20T01:56:56ZengSemnan UniversityMechanics of Advanced Composite Structures2423-48262423-70432015-11-012211312610.22075/macs.2015.397397Nonlocal Buckling and Vibration Analysis of Triple-Walled ZnO Piezoelectric Timoshenko Nano-beam Subjected to Magneto-Electro-Thermo-Mechanical LoadingsMehdi Mohammadimehr0Seyyed Amir Mohammad Managheb1Sajad Alimirzaei2Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, IranDepartment of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, IranDepartment of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan, Kashan, IranIn this study, using the non-local elasticity theory, the buckling and vibration analysis of triple- walled ZnO piezoelectric Timoshenko beam on elastic Pasternak foundation is analytically investigated under magneto-electro-thermo-mechanical loadings. Using the Timoshenko beam free body diagram, the equilibrium equation of Timoshenko nano-beam model is obtained and solved by Navier’s method for a simply-supported nano-beam. The surrounding elastic mediums are simulated by Winkler and Pasternak models and interlayer forces are considered by Lenard-Jones potential. The effects of various parameters including the elastic medium, small scale, length, thickness, van der Waals force on the critical buckling load and non-dimensional natural frequency of triple- walled ZnO nano-beam are investigated. The results of this study show that the critical buckling load reduces with increasing the temperature change, direct electric field, magnetic field, and length of nanotube, and vice versa for the thickness of nanotubes, and two parameters elastic foundations. Also, the non-local critical buckling load and non-dimensional natural frequency of Timoshenko nano-beam are smaller than the local critical buckling load and non-dimensional natural frequency. The results can be useful for designing the smart nano-beam for MEMS and NEMS.https://macs.semnan.ac.ir/article_397_0d56f9cf990bae14100db906823e345c.pdfnon-local buckling and vibration analysistriple-walled zno piezoelectrictimoshenko nano-beamelastic foundationmagneto-electro-thermo-mechanical loadings |
| spellingShingle | Mehdi Mohammadimehr Seyyed Amir Mohammad Managheb Sajad Alimirzaei Nonlocal Buckling and Vibration Analysis of Triple-Walled ZnO Piezoelectric Timoshenko Nano-beam Subjected to Magneto-Electro-Thermo-Mechanical Loadings Mechanics of Advanced Composite Structures non-local buckling and vibration analysis triple-walled zno piezoelectric timoshenko nano-beam elastic foundation magneto-electro-thermo-mechanical loadings |
| title | Nonlocal Buckling and Vibration Analysis of Triple-Walled ZnO Piezoelectric Timoshenko Nano-beam Subjected to Magneto-Electro-Thermo-Mechanical Loadings |
| title_full | Nonlocal Buckling and Vibration Analysis of Triple-Walled ZnO Piezoelectric Timoshenko Nano-beam Subjected to Magneto-Electro-Thermo-Mechanical Loadings |
| title_fullStr | Nonlocal Buckling and Vibration Analysis of Triple-Walled ZnO Piezoelectric Timoshenko Nano-beam Subjected to Magneto-Electro-Thermo-Mechanical Loadings |
| title_full_unstemmed | Nonlocal Buckling and Vibration Analysis of Triple-Walled ZnO Piezoelectric Timoshenko Nano-beam Subjected to Magneto-Electro-Thermo-Mechanical Loadings |
| title_short | Nonlocal Buckling and Vibration Analysis of Triple-Walled ZnO Piezoelectric Timoshenko Nano-beam Subjected to Magneto-Electro-Thermo-Mechanical Loadings |
| title_sort | nonlocal buckling and vibration analysis of triple walled zno piezoelectric timoshenko nano beam subjected to magneto electro thermo mechanical loadings |
| topic | non-local buckling and vibration analysis triple-walled zno piezoelectric timoshenko nano-beam elastic foundation magneto-electro-thermo-mechanical loadings |
| url | https://macs.semnan.ac.ir/article_397_0d56f9cf990bae14100db906823e345c.pdf |
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