Vibration Analysis of a Tetra-Layered FGM Cylindrical Shell Using Ring Support
In the present study, the vibration characteristics of a cylindrical shell (CS) made up of four layers are investigated. The ring is placed in the axial direction of a four-layered functionally graded material (FGM) cylindrical shell. The layers are made of functionally graded material (FGM). The ma...
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2025-01-01
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| author | Asra Ayub Naveed Hussain Ahmad N. Al-Kenani Madiha Ghamkhar |
| author_facet | Asra Ayub Naveed Hussain Ahmad N. Al-Kenani Madiha Ghamkhar |
| author_sort | Asra Ayub |
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| description | In the present study, the vibration characteristics of a cylindrical shell (CS) made up of four layers are investigated. The ring is placed in the axial direction of a four-layered functionally graded material (FGM) cylindrical shell. The layers are made of functionally graded material (FGM). The materials used are stainless steel, aluminum, zirconia, and nickel. The frequency equations are derived by employing Sander’s shell theory and the Rayleigh–Ritz (RR) mathematical technique. Vibration characteristics of functionally graded materials have been investigated using polynomial volume fraction law for all FGM layers. The characteristic beam functions have been used to determine the axial model dependency. The natural frequencies are obtained with simply supported boundary conditions by using MATLAB software. Several analogical assessments of shell frequencies have also been conducted to confirm the accuracy and dependability of the current technique. |
| format | Article |
| id | doaj-art-3cc2b52455b64c68b5e56d55a256859d |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
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| series | Mathematics |
| spelling | doaj-art-3cc2b52455b64c68b5e56d55a256859d2025-01-10T13:18:26ZengMDPI AGMathematics2227-73902025-01-0113115510.3390/math13010155Vibration Analysis of a Tetra-Layered FGM Cylindrical Shell Using Ring SupportAsra Ayub0Naveed Hussain1Ahmad N. Al-Kenani2Madiha Ghamkhar3Department of Mathematics and Statistics, University of Agriculture, Faisalabad 38000, PakistanDepartment of Mathematics and Statistics, University of Agriculture, Faisalabad 38000, PakistanDepartment of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartment of Mathematics and Statistics, University of Agriculture, Faisalabad 38000, PakistanIn the present study, the vibration characteristics of a cylindrical shell (CS) made up of four layers are investigated. The ring is placed in the axial direction of a four-layered functionally graded material (FGM) cylindrical shell. The layers are made of functionally graded material (FGM). The materials used are stainless steel, aluminum, zirconia, and nickel. The frequency equations are derived by employing Sander’s shell theory and the Rayleigh–Ritz (RR) mathematical technique. Vibration characteristics of functionally graded materials have been investigated using polynomial volume fraction law for all FGM layers. The characteristic beam functions have been used to determine the axial model dependency. The natural frequencies are obtained with simply supported boundary conditions by using MATLAB software. Several analogical assessments of shell frequencies have also been conducted to confirm the accuracy and dependability of the current technique.https://www.mdpi.com/2227-7390/13/1/155CSSander’s shell theoryRayleigh–Ritz techniquefunctionally graded materials |
| spellingShingle | Asra Ayub Naveed Hussain Ahmad N. Al-Kenani Madiha Ghamkhar Vibration Analysis of a Tetra-Layered FGM Cylindrical Shell Using Ring Support Mathematics CS Sander’s shell theory Rayleigh–Ritz technique functionally graded materials |
| title | Vibration Analysis of a Tetra-Layered FGM Cylindrical Shell Using Ring Support |
| title_full | Vibration Analysis of a Tetra-Layered FGM Cylindrical Shell Using Ring Support |
| title_fullStr | Vibration Analysis of a Tetra-Layered FGM Cylindrical Shell Using Ring Support |
| title_full_unstemmed | Vibration Analysis of a Tetra-Layered FGM Cylindrical Shell Using Ring Support |
| title_short | Vibration Analysis of a Tetra-Layered FGM Cylindrical Shell Using Ring Support |
| title_sort | vibration analysis of a tetra layered fgm cylindrical shell using ring support |
| topic | CS Sander’s shell theory Rayleigh–Ritz technique functionally graded materials |
| url | https://www.mdpi.com/2227-7390/13/1/155 |
| work_keys_str_mv | AT asraayub vibrationanalysisofatetralayeredfgmcylindricalshellusingringsupport AT naveedhussain vibrationanalysisofatetralayeredfgmcylindricalshellusingringsupport AT ahmadnalkenani vibrationanalysisofatetralayeredfgmcylindricalshellusingringsupport AT madihaghamkhar vibrationanalysisofatetralayeredfgmcylindricalshellusingringsupport |