DAMPING SEISMIC VIBRATIONS IN HIGH-RISE BUILDINGS USING CONTROLLED REACTIVE DAMPERS

Alexander Shein, Mikhail Zaitsev, Ashot Tamrazyan, Tatiana Matseevich

Abstract


Introduction. The paper investigates the dependence of seismic displacements of high-rise buildings on the control parameters of a reactive damper (vibration absorber). A frequency-vector analysis of a building’s finite element model is performed. The building’s response to non-stationary seismic loads is analyzed with respect to changes in damper parameters: the specified control displacement, the ejection velocity of the reactive jet, and the duration of a single reactive impulse. An algorithm for optimizing the controlled damper parameters is presented. The effectiveness of using a reactive damper to reduce the amplitude of oscillations in a high-rise building is evaluated. Reactive vibration dampers are installed at either one or two levels along the building’s height. Methods. A mathematical model of the “high-rise building – reactive damper” system under non-stationary (seismic) loading was studied using a software suite based on the finite element method (FEM). The dynamic response of the structure was determined by numerically solving the system of differential equations of motion using Newmark’s step-by-step method, implemented by the authors in the Matrix Laboratory environment as a software package. Results. The effectiveness of the reactive damper in reducing the amplitude of oscillations in mechanical systems (high-rise buildings) under non-stationary loads is demonstrated. It is assumed that under seismic loading, the damper activates when the displacement of one of the structural nodes exceeds a predetermined value, and the velocity vector of that node determines the direction of the reactive force. Equations of motion for the finite element model of a plate-rod system with an active damper operating on the reactive jet principle are presented. In the Matrix Laboratory interactive numerical computing environment, a software package was developed to solve the system of differential equations describing the motion of the plate-rod FE model of a high-rise building with a damping system. Graphs are provided showing how the effectiveness of the damper varies depending on such parameters as the velocity and duration of the reactive jet ejection (Vgas and Tgas) as well as the allowable deviation (displacement threshold for damper activation, δmax) The influence of these parameters on damper performance was studied. It was found that the use of a reactive damper with optimally selected parameters reduces the amplitude range of oscillations by 50–80 %, i.e., the reactive system effectively suppresses mechanical vibrations of buildings and structures. A software package was developed to select optimal reactive damper parameters for a given high-rise building.

Keywords


high-rise building, seismic loading, oscillatory motion, reactive damper, vibration level, displacements

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References


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