Dynamic behaviour of functionally graded Timoshenko beams on a four parameter linear elastic foundation due to a high speed travelling mass with variable velocities

Year 2021, Volume: 2 Issue: 1, 48 - 75, 23.06.2021

İsmail Esen Mehmet Akif Koç Mustafa Eroğlu

https://izlik.org/JA95RN68JL

Abstract

This study presents a four-parameter linear basis model to analyse and control the dynamic response of an FGM Timoshenko beam exposed to the accelerating / decelerating mass using the finite element method. The dynamic effects of the foundation's mass and damping are taken into account and the foundation is assumed to consist of four parts: mass, spring, viscous damper and shear layer. Considering the actual physical neutral axis, the combined motion equations of the FGM beam-mass-base-base system are obtained by combining terms of first order shear deformation (FSDT) and mass and base interactions. In view of the resulting high-speed motion and acceleration conditions of the moving mass, some new findings are presented for both the moving load and the moving mass assumptions to highlight the differences that may be useful in the analysis of new high-speed transport applications today. Due to their effects, the frequency change of the FGM Timoshenko beam-base system is emphasized to show the main cause of the changes.

Keywords

FGM beams , mass inertia , high-speed moving mass , four-parameter linear foundation , finite element

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