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

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.

Keywords

• nonlinear free vibration
• analytical technique
• functionally graded materials
• porous metal
• sandwich shell