Modeling the dispersion of waves on a loaded bi-elastic cylindrical tube with variable material constituents
The present study analyzes the propagation of surface waves on a strongly inhomogeneous loaded bi-elastic cylindrical tube with variable material constituents. More precisely, due to the number of related physical applications, the exerted load is considered to be in favor of the Winkler elastic fou...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-10-01
|
| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723007209 |
| _version_ | 1797660514931703808 |
|---|---|
| author | Ali M. Mubaraki Rahmatullah Ibrahim Nuruddeen J.F. Gómez-Aguilar |
| author_facet | Ali M. Mubaraki Rahmatullah Ibrahim Nuruddeen J.F. Gómez-Aguilar |
| author_sort | Ali M. Mubaraki |
| collection | DOAJ |
| description | The present study analyzes the propagation of surface waves on a strongly inhomogeneous loaded bi-elastic cylindrical tube with variable material constituents. More precisely, due to the number of related physical applications, the exerted load is considered to be in favor of the Winkler elastic foundation. Further, analytical and approximation procedures of solution are beseeched to examine the model. The revealed results by two approaches are then graphically portrayed, which are then found to possess a high level of conformity. Finally, both the external load due to Winkler foundation d, and the internal material property b are found to oppose the propagation of surface waves in the media. In fact, the opposition deteriorates when both the dimensionless parameters d and b are greater than 0.5. |
| first_indexed | 2024-03-11T18:31:01Z |
| format | Article |
| id | doaj.art-7b7fc415d8c84cfca1907617b798ada6 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-03-11T18:31:01Z |
| publishDate | 2023-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-7b7fc415d8c84cfca1907617b798ada62023-10-13T11:04:07ZengElsevierResults in Physics2211-37972023-10-0153106927Modeling the dispersion of waves on a loaded bi-elastic cylindrical tube with variable material constituentsAli M. Mubaraki0Rahmatullah Ibrahim Nuruddeen1J.F. Gómez-Aguilar2Department of Mathematics and Statistics, Collage of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Federal University Dutse, P.O. Box 7156, Dutse, Jigawa State, NigeriaCONAHCyT-Tecnologico Nacional de Mexico/CENIDET, Interior Internado Palmira S/N, Col. Palmira, C.P. 62490 Cuernavaca, Morelos, Mexico; Corresponding author.The present study analyzes the propagation of surface waves on a strongly inhomogeneous loaded bi-elastic cylindrical tube with variable material constituents. More precisely, due to the number of related physical applications, the exerted load is considered to be in favor of the Winkler elastic foundation. Further, analytical and approximation procedures of solution are beseeched to examine the model. The revealed results by two approaches are then graphically portrayed, which are then found to possess a high level of conformity. Finally, both the external load due to Winkler foundation d, and the internal material property b are found to oppose the propagation of surface waves in the media. In fact, the opposition deteriorates when both the dimensionless parameters d and b are greater than 0.5.http://www.sciencedirect.com/science/article/pii/S2211379723007209Bi-elastic mediaCylindrical tubeVariable material constituentsDispersion relationAsymptotic approximation |
| spellingShingle | Ali M. Mubaraki Rahmatullah Ibrahim Nuruddeen J.F. Gómez-Aguilar Modeling the dispersion of waves on a loaded bi-elastic cylindrical tube with variable material constituents Results in Physics Bi-elastic media Cylindrical tube Variable material constituents Dispersion relation Asymptotic approximation |
| title | Modeling the dispersion of waves on a loaded bi-elastic cylindrical tube with variable material constituents |
| title_full | Modeling the dispersion of waves on a loaded bi-elastic cylindrical tube with variable material constituents |
| title_fullStr | Modeling the dispersion of waves on a loaded bi-elastic cylindrical tube with variable material constituents |
| title_full_unstemmed | Modeling the dispersion of waves on a loaded bi-elastic cylindrical tube with variable material constituents |
| title_short | Modeling the dispersion of waves on a loaded bi-elastic cylindrical tube with variable material constituents |
| title_sort | modeling the dispersion of waves on a loaded bi elastic cylindrical tube with variable material constituents |
| topic | Bi-elastic media Cylindrical tube Variable material constituents Dispersion relation Asymptotic approximation |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723007209 |
| work_keys_str_mv | AT alimmubaraki modelingthedispersionofwavesonaloadedbielasticcylindricaltubewithvariablematerialconstituents AT rahmatullahibrahimnuruddeen modelingthedispersionofwavesonaloadedbielasticcylindricaltubewithvariablematerialconstituents AT jfgomezaguilar modelingthedispersionofwavesonaloadedbielasticcylindricaltubewithvariablematerialconstituents |