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Advances in Nano Research Volume 14, Number 5, May 2023 , pages 475-493 DOI: https://doi.org/10.12989/anr.2023.14.5.475 |
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Dynamic vibration response of functionally graded porous nanoplates in thermal and magnetic fields under moving load |
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Ismail Esen, Mashhour A. Alazwari, Khalid H. Almitani, Mohamed A Eltaher and A. Abdelrahman
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| Abstract | ||
| In the context of nonclassical nonlocal strain gradient elasticity, this article studies the free and forced responses of functionally graded material (FGM) porous nanoplates exposed to thermal and magnetic fields under a moving load. The developed mathematical model includes shear deformation, size-scale, miscorstructure influences in the framework of higher order shear deformation theory (HSDT) and nonlocal strain gradient theory (NSGT), respectively. To explore the porosity effect, the study considers four different porosity models across the thickness: uniform, symmetrical, asymmetric bottom, and asymmetric top distributions. The system of quations of motion of the FGM porous nanoplate, including the effects of thermal load, Lorentz force, due to the magnetic field and moving load, are derived using the Hamilton's principle, and then solved analytically by employing the Navier method. For the free and forced responses of the nanoplate, the effects of nonlocal elasticity, strain gradient elasticity, temperature rise, magnetic field intensity, porosity volume fraction, and porosity distribution are analyzed. It is found that the forced vibrations of FGM porous nanoplates under thermal and live loads can be damped by applying a directed magnetic field. | ||
| Key Words | ||
| FGM porous nanoplate; magnetic field; moving load; multiphysic domain; nonlocal strain gradient theory; thermal load | ||
| Address | ||
| Ismail Esen: Department of Mechanical Engineering, Karabuk University, Karabuk, Turkey Mashhour A. Alazwari and Khalid H. Almitani: Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah, Saudi Arabia Mohamed A Eltaher:Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah, Saudi Arabia/ Mechanical Design & Production Department, Faculty of Engineering, Zagazig University, P.O. Box 44519, Zagazig, Egypt A. Abdelrahman: Mechanical Design & Production Department, Faculty of Engineering, Zagazig University, P.O. Box 44519, Zagazig, Egypt | ||