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| Dynamic response of a finite length euler-bernoulli beam on linear and nonlinear viscoelastic foundations to a concentrated moving force Alkim Deniz Senalp, Aytac Arikoglu, Ibrahim Ozkol,Vedat Ziya Dogan
The Journal of Mechanical Science and Technology, vol. 24, no. 10, pp.1957-1961, 2010
Abstract : In this paper the dynamic response of a simply-supported, finite length Euler-Bernoulli beam with uniform cross-section resting on a
linear and nonlinear viscoelastic foundation acted upon by a moving concentrated force is studied. The Galerkin method is utilized in
order to solve the governing equations of motion. Results are compared with the finite element solution for the linear foundation model in
order to validate the accuracy of the solution technique. A good agreement between the two solution techniques is observed. The effect of
the nonlinearity of foundation stiffness on beam displacement is analyzed for different damping ratios and different speeds of the moving
load. The results for the time response of the midpoint of the beam are presented graphically.
Keyword :
Euler-Bernoulli beam; FEM; Galerkin method; Moving force; Vibration; Viscoelastic foundation
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