Surface Wave Propagation in a Rotating Doubly Coated Nonhomogeneous Half Space with Application
The current study examines the propagation of surface waves in an asymmetric rotating doubly coated nonhomogeneous half space. The coating layers are assumed to be made of different homogeneous isotropic materials, while the overlaying nonhomogeneous half space layer is considered to be of exponenti...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-05-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/5/1000 |
| _version_ | 1797495045489688576 |
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| author | Ali M. Mubaraki Maha M. Helmi Rahmatullah Ibrahim Nuruddeen |
| author_facet | Ali M. Mubaraki Maha M. Helmi Rahmatullah Ibrahim Nuruddeen |
| author_sort | Ali M. Mubaraki |
| collection | DOAJ |
| description | The current study examines the propagation of surface waves in an asymmetric rotating doubly coated nonhomogeneous half space. The coating layers are assumed to be made of different homogeneous isotropic materials, while the overlaying nonhomogeneous half space layer is considered to be of exponentially varying material properties. The consequential exact vibrational displacements and dispersion relation are determined analytically, in addition to the approximate validation of the dispersion relation via the application of an asymptotic procedure within the long wave limit. Two cases of unloaded and loaded end surface scenarios are analyzed by examining the posed fundamental modes. More precisely, an elastic Winkler foundation was considered in the case of a mechanically loaded end surface condition and was found to proliferate the transition between having a fundamental mode over the frequency axis to the wave number axis as the angular velocity increased. Moreover, the rotational effect was found to have a direct impact on the surface wave propagation with a long wave and low frequency. Aside from that, an increase in the nonhomogeneity parameter resulted in propagation with a relatively long frequency. |
| first_indexed | 2024-03-10T01:42:54Z |
| format | Article |
| id | doaj.art-06f5358b4aae4c6e82aaa719063a4e37 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T01:42:54Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-06f5358b4aae4c6e82aaa719063a4e372023-11-23T13:19:44ZengMDPI AGSymmetry2073-89942022-05-01145100010.3390/sym14051000Surface Wave Propagation in a Rotating Doubly Coated Nonhomogeneous Half Space with ApplicationAli M. Mubaraki0Maha M. Helmi1Rahmatullah Ibrahim Nuruddeen2Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaDepartment of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Federal University Dutse, Dutse P.O. Box 7156, Jigawa State, NigeriaThe current study examines the propagation of surface waves in an asymmetric rotating doubly coated nonhomogeneous half space. The coating layers are assumed to be made of different homogeneous isotropic materials, while the overlaying nonhomogeneous half space layer is considered to be of exponentially varying material properties. The consequential exact vibrational displacements and dispersion relation are determined analytically, in addition to the approximate validation of the dispersion relation via the application of an asymptotic procedure within the long wave limit. Two cases of unloaded and loaded end surface scenarios are analyzed by examining the posed fundamental modes. More precisely, an elastic Winkler foundation was considered in the case of a mechanically loaded end surface condition and was found to proliferate the transition between having a fundamental mode over the frequency axis to the wave number axis as the angular velocity increased. Moreover, the rotational effect was found to have a direct impact on the surface wave propagation with a long wave and low frequency. Aside from that, an increase in the nonhomogeneity parameter resulted in propagation with a relatively long frequency.https://www.mdpi.com/2073-8994/14/5/1000surface wavesmultiple coatinglayered mediadispersion relationanti-plane dynamic |
| spellingShingle | Ali M. Mubaraki Maha M. Helmi Rahmatullah Ibrahim Nuruddeen Surface Wave Propagation in a Rotating Doubly Coated Nonhomogeneous Half Space with Application Symmetry surface waves multiple coating layered media dispersion relation anti-plane dynamic |
| title | Surface Wave Propagation in a Rotating Doubly Coated Nonhomogeneous Half Space with Application |
| title_full | Surface Wave Propagation in a Rotating Doubly Coated Nonhomogeneous Half Space with Application |
| title_fullStr | Surface Wave Propagation in a Rotating Doubly Coated Nonhomogeneous Half Space with Application |
| title_full_unstemmed | Surface Wave Propagation in a Rotating Doubly Coated Nonhomogeneous Half Space with Application |
| title_short | Surface Wave Propagation in a Rotating Doubly Coated Nonhomogeneous Half Space with Application |
| title_sort | surface wave propagation in a rotating doubly coated nonhomogeneous half space with application |
| topic | surface waves multiple coating layered media dispersion relation anti-plane dynamic |
| url | https://www.mdpi.com/2073-8994/14/5/1000 |
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