Techno Press
Techno Press

Structural Engineering and Mechanics
  Volume 44, Number 1, October10 2012 , pages 1-13
DOI: https://doi.org/10.12989/sem.2012.44.1.001
 


Response determination of a viscoelastic Timoshenko beam subjected to moving load using analytical and numerical methods
Mohammad Tehrani and H.R. Eipakchi

 
Abstract
    In this paper the dynamic behavior of a viscoelastic Timoshenko beam subjected to a concentrated moving load are studied analytically and numerically. The viscoelastic properties of the beam obey the linear standard model in shear and incompressible in bulk. The governing equation for Timoshenko beam theory is obtained in viscoelastic form using the correspondence principle. The analytical solution is based on the Fourier series and the numerical solution is performed with finite element method. The effects of the material properties and the load velocity are investigated on the responses by numerical and analytical methods. In addition, the results are compared with the Euler beam results.
 
Key Words
    viscoelastic timoshenko beam; moving load; analytical solution; linear standard model; FE
 
Address
Mohammad Tehrani and H.R. Eipakchi: Mechanical Engineering Faculty, Shahrood University of Technology, P.O. Box 316, Shahrood, I.R. Iran
 

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