| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 304633 | Soil Dynamics and Earthquake Engineering | 2011 | 9 Pages |
The effective procedure, which enables to discuss the dynamic response of Rayleigh beam resting on nonlinear viscoelastic foundation subjected to moving load, is developed. By employing the Adomian decomposition method in conjunction with coiflet expansion, the approximate closed form solution has been derived and condition for the convergence of the decomposition series has been introduced. To evaluate the accuracy of the approximate solution a local error index is defined. The presented new complex method is simple and efficient. The parametric study is performed and the influence of nonlinearity, load velocity, load frequency and the radius of gyration on the wave propagation in beam is investigated. The numerical results show that for the supercritical case, the linear model is stiffer giving rise to small displacement of the beam at the load passage.
► Nonlinear model of railway track is used to investigate the displacement field. ► Adomian decomposition and coiflet expansion form new methods of solution. ► Investigation of error of approximate solution is presented. ► Comparison between the results of nonlinear and linear model was carried out.
