The effect of elastic base parameters and lateral pressure on the vibration frequencies of a rotating cylindrical shell with annular ring made of functionally graded materials based on first-order theory

Isvandzibaei, Mohammad Reza; Taghipour Birgani, Pezhman

doi:10.22034/joae.2025.492210.1258

The effect of elastic base parameters and lateral pressure on the vibration frequencies of a rotating cylindrical shell with annular ring made of functionally graded materials based on first-order theory

Document Type : Original Article

Authors

Mohammad Reza Isvandzibaei ¹

Pezhman Taghipour Birgani ²

¹ Department of Mechanical Engineering, Andimeshk Branch, Islamic Azad University, Andimeshk, Iran

² Assistant Professor of Mechanical Engineering, Department of Mechanics, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran

10.22034/joae.2025.492210.1258

Abstract

In this study, the effect of elastic base parameters and lateral pressure on the vibration frequencies of a rotating cylindrical shell with annular ring made of functionally graded materials based on first-order shear deformation theory has been investigated. The shell material is made of functionally graded materials with a combination of stainless steel and nickel, with nickel on the inner surface and stainless steel on the outer surface of the shell. These functionally graded materials are graded in thickness from one surface of the shell to another. Lateral pressures are applied uniformly to the surface of the rotating cylindrical shell with annular ring. The elastic base is of the Pasternak type that surrounded the rotating cylindrical shell with annular ring. The governing equations extracted in this study have been obtained based on the first-order shear deformation theory. Also, the analytical solution of the motion relations of this rotating cylindrical shell with annular ring has been extracted based on the energy equations using the Rayleigh-Ritz technique. Symmetrically boundary conditions at the edges of the two ends of the model in a simple support are considered. Finally, the effect of elastic base parameters, uniform lateral pressures, annular ring and symmetrical support conditions on the vibration frequencies of a rotating cylindrical shell made of functionally graded materials is studied.

Keywords

Cylindrical shell

Elastic base

Functionally graded material

Lateral pressure

Annular ring

Subjects