Vibration Analysis of a Tetra-Layered FGM Cylindrical Shell Using Ring Support

Asra Ayub, Naveed Hussain (), Ahmad N. Al-Kenani and Madiha Ghamkhar ()
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Asra Ayub: Department of Mathematics and Statistics, University of Agriculture, Faisalabad 38000, Pakistan
Naveed Hussain: Department of Mathematics and Statistics, University of Agriculture, Faisalabad 38000, Pakistan
Ahmad N. Al-Kenani: Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Madiha Ghamkhar: Department of Mathematics and Statistics, University of Agriculture, Faisalabad 38000, Pakistan

Mathematics, 2025, vol. 13, issue 1, 1-16

Abstract: 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.

Keywords: CS; Sander’s shell theory; Rayleigh–Ritz technique; functionally graded materials (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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