The vibration of a nanobeam subjected to constant magnetic field and ramp-type heat under non-Fourier heat conduction law based on the Lord-Shulman model
In this work, the usual Euler–Bernoulli nanobeam has been modeled in the context of the Lord-Shulman thermoelastic theorem which contains the non-Fourier heat conduction law. The nanobeam has been subjected to a constant magnetic field and ramp-type thermal loading. The Laplace transform definition...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SAGE Publishing
2023-05-01
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| Series: | Advances in Mechanical Engineering |
| Online Access: | https://doi.org/10.1177/16878132231177985 |
| _version_ | 1797818591552208896 |
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| author | Mohammad Salem J Alzahrani Najat A Alghamdi |
| author_facet | Mohammad Salem J Alzahrani Najat A Alghamdi |
| author_sort | Mohammad Salem J Alzahrani |
| collection | DOAJ |
| description | In this work, the usual Euler–Bernoulli nanobeam has been modeled in the context of the Lord-Shulman thermoelastic theorem which contains the non-Fourier heat conduction law. The nanobeam has been subjected to a constant magnetic field and ramp-type thermal loading. The Laplace transform definition has been applied to the governing equations and the solutions have been obtained by using a direct approach. The inversions of the Laplace transform have been calculated numerically by using the Tzou approximation method. The solutions have been applied to a nanobeam made of silicon nitride. The distributions of the temperature increment, lateral deflection, strain, stress, and strain-energy density have been represented in figures with different values of the magnetic field intensity and ramp-time heat parameter. The value of the magnetic field intensity and ramp-time heat parameter have significant effects on all the studied functions, and they could be used as tuners to control the energy which has been generated through the nanobeam. |
| first_indexed | 2024-03-13T09:10:16Z |
| format | Article |
| id | doaj.art-c12d44f2a75a448c923a3d502758c8ba |
| institution | Directory Open Access Journal |
| issn | 1687-8140 |
| language | English |
| last_indexed | 2024-03-13T09:10:16Z |
| publishDate | 2023-05-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Advances in Mechanical Engineering |
| spelling | doaj.art-c12d44f2a75a448c923a3d502758c8ba2023-05-27T08:03:28ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402023-05-011510.1177/16878132231177985The vibration of a nanobeam subjected to constant magnetic field and ramp-type heat under non-Fourier heat conduction law based on the Lord-Shulman modelMohammad Salem J Alzahrani0Najat A Alghamdi1Electronic and Communications Department, College of Engineering – Al-Leith, Umm Al-Qura University, Makkah, Saudi ArabiaMathematic Department, College of Applied Science, Umm Al-Qura University, Makkah, Saudi ArabiaIn this work, the usual Euler–Bernoulli nanobeam has been modeled in the context of the Lord-Shulman thermoelastic theorem which contains the non-Fourier heat conduction law. The nanobeam has been subjected to a constant magnetic field and ramp-type thermal loading. The Laplace transform definition has been applied to the governing equations and the solutions have been obtained by using a direct approach. The inversions of the Laplace transform have been calculated numerically by using the Tzou approximation method. The solutions have been applied to a nanobeam made of silicon nitride. The distributions of the temperature increment, lateral deflection, strain, stress, and strain-energy density have been represented in figures with different values of the magnetic field intensity and ramp-time heat parameter. The value of the magnetic field intensity and ramp-time heat parameter have significant effects on all the studied functions, and they could be used as tuners to control the energy which has been generated through the nanobeam.https://doi.org/10.1177/16878132231177985 |
| spellingShingle | Mohammad Salem J Alzahrani Najat A Alghamdi The vibration of a nanobeam subjected to constant magnetic field and ramp-type heat under non-Fourier heat conduction law based on the Lord-Shulman model Advances in Mechanical Engineering |
| title | The vibration of a nanobeam subjected to constant magnetic field and ramp-type heat under non-Fourier heat conduction law based on the Lord-Shulman model |
| title_full | The vibration of a nanobeam subjected to constant magnetic field and ramp-type heat under non-Fourier heat conduction law based on the Lord-Shulman model |
| title_fullStr | The vibration of a nanobeam subjected to constant magnetic field and ramp-type heat under non-Fourier heat conduction law based on the Lord-Shulman model |
| title_full_unstemmed | The vibration of a nanobeam subjected to constant magnetic field and ramp-type heat under non-Fourier heat conduction law based on the Lord-Shulman model |
| title_short | The vibration of a nanobeam subjected to constant magnetic field and ramp-type heat under non-Fourier heat conduction law based on the Lord-Shulman model |
| title_sort | vibration of a nanobeam subjected to constant magnetic field and ramp type heat under non fourier heat conduction law based on the lord shulman model |
| url | https://doi.org/10.1177/16878132231177985 |
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