Affiliations: Department of Civil and Environmental Engineering,
Koszalin University of Technology, Koszalin, Poland
Note: [] Corresponding author: Piotr Koziol, Department of Civil and
Environmental Engineering, Koszalin University of Technology, Sniadeckich 2,
75-453 Koszalin, Poland. E-mail: piotr.koziol@wbiis.tu.koszalin.pl
Abstract: This paper presents a new semi-analytical solution for the
Timoshenko beam subjected to a moving load in case of a nonlinear medium
underneath. The finite series of distributed moving loads harmonically varying
in time is considered as a representation of a moving train. The solution for
vibrations is obtained by using the Adomian's decomposition combined with the
Fourier transform and a wavelet-based procedure for its computation. The
adapted approximating method uses wavelet filters of Coiflet type that appeared
a very effective tool for vibration analysis in a few earlier papers. The
developed approach provides solutions for both transverse displacement and
angular rotation of the beam, which allows parametric analysis of the
investigated dynamic system to be conducted in an efficient manner. The aim of
this article is to present an effective method of approximation for the
analysis of complex dynamic nonlinear models related to the moving load
problems.
