Dynamics of Rayleigh beam on nonlinear foundation due to moving load using Adomian decomposition and coiflet expansion

作者：Hryniewicz Zdzislaw^*

来源：Soil Dynamics and Earthquake Engineering, 2011, 31(8): 1123-1131.

DOI：10.1016/j.soildyn.2011.03.013

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.

• 出版日期2011-8