Dynamic analysis of transversal response due to moving mass in a continuous beam

Resumo

This paper presents a computational analysis of the dynamic responses of a continuous beam subjected
to a moving mass and corresponding load that travels along its entire length. It aims to understand the behavior of the structure and to determine its transversal response. Here, a discretized dynamic finite element algorithm  was developed, using numerical integration by Newmark’s Method for the solution of ordinary differential equations and obtain the transversal displacements of the structure in the time domain, in order to evaluate its behavior due to moving masses and loads. The analysis is made in different velocities, damping ratios, with and without the contribution of the moving mass in the inertia of the system and comparing the effects of these parameters in the responses. The main objective is to apply the results obtained with the method to obtain displacements due to moving loads in structures such as bridges and viaducts, among other applications, and to obtain the critical velocities, where the greatest deflections of the structure are found.