Journal of Theoretical
and Applied Mechanics

51, 1, pp. 215-224, Warsaw 2013

Wavelet-based solution for vibrations of a beam on a nonlinear viscoelastic foundation due to moving load

Zdzisław Hryniewicz, Piotr Kozioł
The paper presents a new analytical solution for the dynamic response of an infinitely long Timoshenko beam resting on a nonlinear viscoelastic foundation. Vibrations of the beam are analysed by using Adomian's decomposition method combined with wavelet based approximation alleviating difficulties related to Fourier analysis and numerical integration. The developed approach allows various parametric analyses leading to full characteristics of the investigated dynamic system.
Keywords: Timoshenko beam; Adomian's decomposition; coiflet expansion; moving load