Optimal Design of Tuned Mass Damper for Base-Excited Structures

Abstract

The tuned mass damper (TMD) is a well-established vibration control device that has been implemented in several structures worldwide. The performance of passive TMD is greatly dependent on its design parameters. A key issue for the design of the optimal TMD is the identification of the parameters of the structure to which the TMD is to be attached. Here, it is important also to consider the perturbations that may arise in the structural frequency due to different practical issues. The present work focusses on this and aims to obtain the optimum TMD parameters in a Genetic Algorithm (GA) framework. The results of the proposed optimal strategy, in terms of optimal tuning ratio and optimal damping ratio, for a given value of the mass ratio, are compared with some of the existing optimal solutions for linear TMD under base excitation. The effectiveness of all these optimally designed TMDs in reducing the structural response is further demonstrated when the structure-TMD system is subjected to recorded earthquake ground motions. It is seen that in the tuned condition, the control performance obtained by the different designs of the TMD are similar to each other, although having some minor differences in the values of the optimum parameters. Also, the effectiveness of the different TMD designs in the detuned condition is investigated, in which the present design technique is found to be the most effective.

Hybrid Vibration Control of Hospital Buildings against Earthquake Excitations Using Unbonded Fiber-Reinforced Elastomeric Isolator and Tuned Mass Damper

“…A description of the working principles of the TMD and its various configurations are presented in the following section. Abundant literature is available on the design of the various parameters of the TMD under different types of excitations [33][34][35][36][37][38][39][40][41]. Moreover, several researchers have tested the performance of the passive TMD when it is attached to different kinds of structures, which are subjected to various types of loading scenarios [42][43][44][45][46].…”

Vibration Control of High-rise Building Via Optimal TMD for Earthquake by Black Window with Elman Model

“…By tuning the extra mass and spring the stack will on a very basic level impact the extra mass, and the gainful gooey damper will reduce the pile influence on the extra mass gradually [8]. Multiple-tuned mass dampers (MTMDs) contain a couple of single mass dampers that can be arranged and presented in equivalent or series structures.…”

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

“…The efficacy of the TMD is largely dependent on its design parameters. Therefore, several studies have been conducted on the optimal parameters of the passive TMD under various loading conditions 6–15 . Also, several researchers have checked the performance of the linear TMD under the action of earthquake‐induced loads or wind‐imparted loads 16–22 .…”

“…Therefore, several studies have been conducted on the optimal parameters of the passive TMD under various loading conditions. [6][7][8][9][10][11][12][13][14][15] Also, several researchers have checked the performance of the linear TMD under the action of earthquake-induced loads or wind-imparted loads. [16][17][18][19][20][21][22] Elias and Matsagar 2 have presented a comprehensive review on these various optimal design theories and the performance studies conducted on the passive TMD.…”