Optimization of the constructive parameters of a tuned mass damper for the control of a cantilever beam

Resumo

Beams are structural elements widely used in engineering. During their useful life, they are subject to
different forms of static and dynamic loading. When dynamic actions are applied, they can assume a state of
vibration, causing large amplitudes that can compromise the structure from the point of view of environmental
comfort and also structural safety. These problems can be solved by inserting into the main structure a device
called a tuned mass damper (TMD). From the dynamic characteristics of the main structure, the TMD is scaled
and modeled as a mass-spring-damper system. In this context, the objective of this work is to present the
effectiveness of the use of TMD for the control of vibrations in a set beam. The TMD used was of the cantilever
beam type with a concentrated mass at the tip. This was modeled and fixed at the end of the main structure. Its
optimization parameters were scaled from the mass ratio and damping. The simulation responses were obtained
using the finite element method (FEM) using the computer program Ansys®. The results were satisfactory, for a
mass ratio equal to 0.05 and damping factor of 0.1273.