INFLUENCE OF MASS, STIFFNESS, AND DAMPING ON THE DYNAMICS OF TUNED MASS DAMPERS

Abstract

Introduction:
The reduction of vibrations in long-lived and unmaintained structures such as railway bridges in Cuba is an issue that is currently gaining importance. One way to achieve this is the placement of Tuned Mass Dampers.
Objective:
To determine the influence of mass, stiffness and damping on the dynamic amplification of the structure.
Materials and Methods:
A dynamic study of the railway bridge located at km 560 of the Central Railway and of the Tuned Mass Dampers was carried out to control vibrations. The real problem is fitted to the mathematical model of systems of one and two degrees of freedom.
Results and Discussion:
The influence of the basic parameters (mass, stiffness and damping) on the dynamic amplification of the structure, the displacements of each degree of freedom and the amplitude of the oscillations of the bridge and the Tuned Mass Dampers in response to the excitation force were determined.
Conclusions:
The influence of mass, stiffness and damping on the dynamic response of the system was obtained. The two degrees of freedom model is solved, varying only the damping coefficient of the Tuned Mass Dampers, the position-time graphs were obtained. In the frequency response functions, it is verified that the system reaches its highest dynamic amplification when the frequency of the vibration produced by an external load coincides with the natural frequency of the structure.