Minimal structural response under random excitation using the vibration absorber

Abstract

The equations of motion are derived for the first mode response of a linear multistorey structure having a linear vibration absorber attached to the roof. Furthermore, the variance of the first mode response to a gaussian white noise lateral base acceleration (as a model of earthquake excitation) is determined. Smallest possible values of the variance of the response along with corresponding absorber parameters are established using an optimization program. It is demonstrated that the absorber is quite effective in reducing first mode response for 5‐ and 10‐storey structures even with relatively small values of the absorber mass. Moreover, minimal responses for the randomly excited single‐degree‐of‐freedom system have been determined, and a design example is presented. The absorber system has potential application not only in earthquake engineering but also in aerospace and terrestrial vehicle design.

A Method of Estimating the Parameters of Tuned Mass Dampers for Seismic Applications

“…If more accurate parameters are needed, a searching procedure similar to that applied before should be used. Equation (13) indicates that the best location for a TMD is where it results in the largest , i.e. at the level where and consequently the damping in the TMD and in the first two modes are maximum.…”

Experimental study on multiple tuned mass dampers to reduce seismic responses of a three‐storey building structure

“…Tuned mass dampers (TMD) have been extensively studied and applied to suppress windinduced vibrations of building structures since the 1970s [1][2][3][4]. Much of the e orts were devoted to developing the design procedure and optimizing the TMD parameters for improved performance.…”

Active control of inelastic structural response during earthquakes

“…[9][10] Other new passive control technologies include tuned mass dampers, [11][12][13][14][15] tuned liquid dampers, [16][17] and other damping and energy absorbing devices. [18][19][20][21][22] Passive control technology will continue to be the subject of extensive research because of the increased acceptance of the use of high-technology by structural engineers.…”