Eventos Anais de eventos
MECSOL 2022
8th International Symposium on Solid Mechanics
Optimization of Tuned Mass Dampers for Vibration Control of Slender Structures Under Seismic Loads
Submission Author:
Omar Gutierrez , SP , Peru
Co-Authors:
Omar Gutierrez, Reyolando Brasil, Marcelo Silva
Presenter: Omar Gutierrez
doi://10.26678/ABCM.MECSOL2022.MSL22-0137
Abstract
Seismic motion is one of the most dangerous events for civil structures. To mitigate the effect of vibrations, induced by the base excitation created by seismic waves, one of the devices used is a vibration absorber called TMD (Tuned Mass Damper). This paper presents the optimization process of a TMD placed in a slender structure. The work begins with the finite element modeling of a slender high rise structure, doing a modal analysis, is obtained the predominant natural frequency and by applying a known force at the top of the structure, is obtained the stiffness equivalent to a 1 degree of freedom (DOF) system, with these values is calculated the representative mass for an equivalent model of 1 DOF. Then, a mass-spring-damper system is modeled equivalent to the original structure, to which a pendulum-type mass is attached, initially the characteristics of mass, pendulum length and damping of the TMD are random, within permissible limits. The structure of many degrees of freedom is thus transformed into a system of 2 DOFs (1 DOF of the structure and 1DOF of the pendulum). These systems were forced at their base by means of a seismic record of accelerations, obtaining the maximum displacement and displacements history of the principal structure during seismic action and the comparison of the variation of these values in the 2 models was made. Through of methods of the mathematical optimization theories, the optimal parameters of TMD were obtained, in this case, the maximum displacement was reduced in 33.6% and the vibrations were minimized in 39% and concluding that the placement of a TMD with optimal characteristics is a good option for vibration control in a tall and slender structures subjected to seismic movements.
Keywords
structural optimization, passive control vibration, tunned mass dampers, Earthquake
