Engineering and Technology Journal

Analytical Study of Free Vibration Characteristics For Sandwich Cylindrical Shell With Single Phase Metal Core

Document Type : Research Paper

Authors

1 Mechanical Engineering Dept., University of Technology-Iraq, Alsina’a street, 10066 Baghdad, Iraq.

2 b Mechanical Engineering Dept., Faculty of Engineering, University of Kufa, Iraq.

Abstract

This paper presents an analytical investigation of the nonlinear vibration characteristics of a single-phase functionally graded cylindrical shell panel with various porous metal cores. Porous constructions with varying degrees of porosity throughout their volume are known as functionally graded materials (FGMs). These materials have a wide range of applications across several industries, including shipbuilding, automotive, biomedical, marine, and aerospace. The sandwich cylindrical panel has a porous metal core, while the top and bottom faces are composed of homogeneous materials. The model is improved using a power-law function. The governing equations of motion are discretized according to the classical thin shell theory with von Karman nonlinear strain-displacement relations by applying Galerkin's method to a collection of ordinary nonlinear equations. The nonlinear equations are determined using the fourth-order Runge-Kutta method, which is implemented in MATLAB software. The influences of core materials, porosity distribution, FG core thickness, face sheet layers, and changing gradient index on the natural frequency and dynamic response of the FG cylindrical shell are discussed. The existing literature is used to compare the current findings, and a favorable level of consistency is observed. The results obtained indicate that the porosity coefficients have a notable impact on the vibration behavior and overall reliability of functionally graded structures. The results demonstrate that when the porous parameter is increased, the natural frequencies of the FG sandwich cylindrical also increase. Nevertheless, this paper also presents several new and valuable results that may be of great reference to the readers.

Graphical Abstract

Highlights

  • A novel sandwich cylindrical shell made of single-phase FG porous core.
  • Used analytical approach based on the classical shell theory and fourth-order Runge-Kutta technique.
  • FGMs are important components of different engineering applications.
  • Porosity increases raise natural frequencies, while gradient index increases decrease them in FGM cylindrical shells.
  • Polyethylene has a high nonlinear vibration response due to its low stiffness.

Keywords

Main Subjects

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Engineering and Technology Journal
Volume 41, Issue 7
Mechanical Engineering
12 articles
July 2023
Page 1010-1025
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