Free Vibration Analysis of a Rotating, Dimensionally Varying Sandwich Beam Subjected to A Pulsating Axial Load

Abstract

This study aims to utilize computational techniques to analyse the natural vibration characteristics of a rotating asymmetric sandwich beam with varying width and thickness, subjected to a pulsating axial load. The equation of motion and boundary conditions are derived employing the extended Hamilton's concept and subsequently non-dimensional zed using the extended Galerkin method. Hills equations are then obtained, and Galerkin’s energy principle is applied to formulate matrix expressions for crucial parameters like mass and stiffness. These matrices are used to compute Eigenvalues, determining the natural frequencies. The results are presented graphically to illustrate the impact of different system parameters, such as taper parameters, shear parameter, rotational speed, and core-loss factor. MATLAB is utilized for graphical representation and analysis.