Analysis of transverse vibrations of functionally graded beams with magnetostrictive Terfenol-D layers resting on an elastic foundation

Abstract

The purpose of this research is to analyse and optimise the transverse vibrations of a beam made from functional gradient material (FGM) with magnetostrictive layers of Terfenol-D, supported by a Winkler-type elastic foundation. This study aims to develop an accurate model to analyze the influence of material properties, magnetostrictive layers, and the elastic foundation on the natural frequencies and damping factors of FGMT beams, using the Euler-Bernoulli beam theory within the finite element method (FEM). Using this approach, the governing differential equations are solved, and then the results, such as natural frequencies and vibration modes, are compared with the existing literature to validate the proposed model. Special focus is given to the detailed examination of natural frequencies for various combinations of FGMT materials to enhance the formulation's precision. More specifically, the objective of this work is to provide a comprehensive numerical framework that enables the prediction and optimization of transverse vibrations in FGMT beams, considering different material compositions and boundary conditions. The study seeks to highlight how the combination of magnetostrictive layers and elastic foundations can be exploited to enhance vibration control efficiency. The study also investigates the effectiveness of vibration suppression based on design parameters like material properties and foundation configuration. This paper provides insights into vibration mode distribution and structural optimization, offering recommendations for designing vibration control systems with potential applications in mitigating unwanted vibrations in infrastructure, industrial devices, and transport vehicles.