Modal analysis of a simply supported beam subjected to a moving mass

Resumo

This study presents a computational analysis of the dynamic behavior of a simply supported beam
subjected to a moving mass and corresponding load that travels along its entire length with different speeds. The
first analysis aims to understand the behavior of the structure and to determine transversal response of the structure.
Here, a discretized simply supported beam model was developed, based on the Finite Element Method, using
numerical integration by Newmark’s Method for the solution of ordinary differential equations and obtaining the
displacements of the structure in the time domain, to evaluate its behavior due to moving masses and loads. The
analysis is made in different velocities and damping rates aiming to find the maximum transverse response, and
comparing with the static response to find the maximum amplification coefficients. This article aims to evaluate
the frequencies and vibration modes associated with the maximum displacements found and its relation with the
different velocities applied.