 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4760 |
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| S.M. Abo-Dahab, A.M. Abd-Alla, G.A. Yahya, H.El-Teary, F.M. Alharbi, F.S. Bayones, and M.A. Abdelhafez, "Study of Magnetic Field Influence on Vibrations of Poroelastic Hollow Cylinder," Mech. Solids. 59 (3), 1428-1442 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
3 |
Pages |
1428-1442 |
| DOI |
10.1134/S0025654424602829 |
| Title |
Study of Magnetic Field Influence on Vibrations of Poroelastic Hollow Cylinder |
| Author(s) |
S.M. Abo-Dahab (Mathematics Department, Faculty of Science, South Valley University, Qena, 83523 Egypt, sdahb@yahoo.com)
A.M. Abd-Alla (Mathematics Department, Faculty of Science, Sohag University, Sohag, Egypt, mohmrr@yahoo.com)
G.A. Yahya (Physics Department, Faculty of Science, Aswan University, Aswan, Egypt, gamal102@yahoo.com)
H.El-Teary (Mathematics Department, Faculty of Science, Sohag University, Sohag, Egypt, haimeltary392@gmail.com)
F.M. Alharbi (Mathematics Department, Faculty of Science, Umm Al-Quraa University, Makkah, 24227 Saudi Arabia, fmharbi@uqu.edu.sa)
F.S. Bayones (Department of Mathematics and Statistics, College of Science, Taif University, Taif, 21944 Saudi Arabia, f.s.bayones@hotmail.com)
M.A. Abdelhafez (Mathematics Department, Faculty of Science, Sohag University, Sohag, Egypt, mostafa.abdallah@yahoo.com) |
| Abstract |
The vibration characteristics of an isotropic and homogeneous elastic hollow cylinder with
porosity, emphasizing the influence of the magnetic field in the context of poroelasticity, are investigated. The investigative method encompasses the resolution of motion equations, formulated as partial
differential equations, through the application of Lame’s potential theory. This analytical process is
augmented by the implementation of fitting boundary conditions, culminating in the derivation of a
comprehensive expression for the complex dispersion equation, predicated on the premise that the
wavenumber embodies a complex entity. The precision of the model is corroborated through a comparative analysis with established literature, underpinned by an exploration of diverse scenarios.
The research employed MATLAB for both numerical and graphical assessments, focusing on the dispersion and displacement attributes. Dispersion relations within the poroelastic medium were computed, considering varied magnitudes of magnetic field intensity and angular velocities. The outcomes
are articulated through complex-valued dispersion relations, transcendental formulations, and
numerical resolutions employing MATLAB’s bisection technique. These insights hold substantial significance for the theoretical advancement in orthopedic research, particularly concerning cylindrical
poroelastic media. This study deduces that the radial vibrational patterns and the corresponding frequency equation within a poroelastic medium are profoundly modified by the magnetic field’s interference. |
| Keywords |
poroelasticity, magnetic field, wave propagation, wet bone analysis, natural frequency |
| Received |
26 February 2024 | Revised |
28 May 2024 | Accepted |
28 May 2024 |
| Link to Fulltext |
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