Abstract
The present paper investigates the dynamic response of beams resting on fractional viscoelastic foundation subjected to a moving load with variable speeds. The Galerkin with finite difference methods are used to deal with the governing equation of motion. The effect of various parameters, like fractional order derivative, foundation stiffness and damping, speed of moving load on the response of the beam are investigated and discussed.
Highlights
The dynamic response of beams on linear nonlinear viscoelastic foundations became one of important fields of research in the world
The paper focuses on the solution of a finite EulerBernoulli beam on a fractional viscoelastic foundation subjected to a variable speed moving load
Michaltsos [1], investigated dynamic response of beam on linear viscoelastic foundation subjected to moving load varying with time
Summary
The dynamic response of beams on linear nonlinear viscoelastic foundations became one of important fields of research in the world. The paper focuses on the solution of a finite EulerBernoulli beam on a fractional viscoelastic foundation subjected to a variable speed moving load. The Galerkin method is used to solve the initial boundary value problem that governs the transverse vibration of the beam.
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