On Frequency Behavior of Functionally Graded Beam Using Finite Element Method

The research attention towards quantifying the behavior of Functionally Graded Beam (FGB) is addressed in the present investigation. Unlike composite material where the component materials’ elastic and thermal characteristics don’t match at the interface resulting delamination, Functionally Graded Material (FGM) offers added benefits over traditional composite material where such structural discontinuities are avoided keeping the strength of the structure intact. The principal focus of the study is to acquire a profound understanding towards the vibrational characteristics of FGB under various material distribution and boundary condition. In view of power law distribution, the FG beam’s component material characteristics are graded along the axial direction. The study examines various aspect ratios of the beam and analyzes the corresponding mode shapes for different boundary conditions. ANSYS 18.2 software is used to develop simulation models for the FG beam, and the results are presented along with the respective mode shapes. The objective is to identify the influences of power law index (PLI), aspect ratio and different edge support conditions on the free vibration responses of the FGB. Through numerical simulations, detailed insights to the vibration behavior of FGB is attained and the simulation model presents the ability to manipulate the material composition and boundary conditions provides opportunities for tailoring the FGB’s vibrational characteristics to meet specific requirements.