Optimum design of nonlinear tuned mass damper for dynamic response control under earthquake and wind excitations

Abstract

Summary Urban cities worldwide are filled with low‐rise to high‐rise buildings which may be vulnerable to both earthquake and wind excitations depending on their locations. Here, the performance of optimally designed nonlinear tuned mass dampers (TMDs) is evaluated for the vibration control of multi‐story structures under the multi‐hazard scenario. The functionality of the linear dashpot deteriorates with age; therefore, in this paper, nonlinearity is introduced in the damping element of the passive TMD. Two nonlinear TMDs are investigated, one with Bingham‐type damping element and another comprising viscous power law damping. The optimally designed TMDs are attached to five multi‐story structures with the number of stories ranging from 5 stories to 25 stories. Subsequently, the performances of the various TMD designs are evaluated when the structures are subjected to an ensemble of nonconcurrent earthquake and wind‐borne loads. Also, the efficacy of the equivalent pulse‐type ground acceleration in the prediction of structural response under near fault earthquake‐induced loads is studied. The degradation in the performance of the TMDs is discussed when the structures are subjected to earthquake‐induced loads, but the TMDs are designed to be effective against wind‐imparted loads, and vice versa. It is observed that the nonlinear TMDs could achieve reductions in the structural response comparable to that achieved by an optimally designed linear TMD, at the same time negating the shortcomings of the linear viscous damper.

Review of Vibration Control Strategies of High-Rise Buildings

“…To illustrate the efficiency of vibration control devices deployed in high-rise buildings, a review of various results obtained and presented in the literature is resumed in the two following tables [ 211 , 212 , 213 , 214 , 215 , 216 , 217 , 218 , 219 , 220 ]. Table 1 presents the results obtained when submitting high-rise benchmark buildings to earthquake excitation while equipping them with different control devices (best performances), and Table 2 shows the results of the same high-rise buildings submitted to wind excitations.…”

Analysis of a nonlinear tuned mass damper by using the multi-scale method

“…According to the literature (Banerjee et al, 2022), a multi-degree of freedom building structure can be idealized into a linear single degree of freedom system. When using this method for simplification, the first-order modal mass, first-order modal stiffness and first-order modal damping of the multi-degree of freedom structure can be simplified as the main structural model, and TMD is added to it.…”

Experimental study on vibration control performance of TMD-STF damper

“…Tuned mass dampers (TMD) have a century-long development history and have demonstrated high effectiveness in mitigating structural resonance. Their applications span across aerospace, mechanical, civil, and ocean engineering [1][2][3][4]. The classical TMD consists of mass, stiffness, and damping components.…”