Performance of Numerically Optimized Tuned Mass Damper with Inerter (TMDI)

Abstract

In recent years, the Tuned Mass Damper with inerter (TMDI) has received significant attention. The inerter is defined to exert a force that is in proportion to the relative acceleration of the two inerter terminals. Here, two TMDI topologies are investigated. The conventional topology is given by the inerter being in parallel to the spring and viscous damper of the TMDI. The other topology is the serial arrangement of spring, inerter and viscous damper being in parallel to the stiffness of the mass spring oscillator of the TMDI. While the first topology intends to increase the inertial force of the TMDI, the second topology aims at producing an additional degree of freedom. The considered TMDI concepts are simulated for harmonic and random excitations, with parameters set according to those described in the literature and with numerically optimized parameters which minimize the primary structure displacement response. The classical TMD is used as a benchmark. The findings are twofold. The conventional TMDI with typical inertance ratio of 1% and the very small value of 0.02% performs significantly worse than the classical TMD with the same mass ratio. In contrast, the TMDI with an additional degree of freedom can improve the mitigation of the primary structure if the inertance ratio is set very small and if the TMDI parameters are numerically optimized.

Parameters optimization of three-element dynamic vibration absorber with inerter and grounded stiffness

“…Thus, for given mass ratio μ and inerter–mass ratio β , the optimal parameters can be searched numerically (Weber et al, 2022) or analytically (Peng et al, 2021b). Accordingly, to solve problem (12) analytically, the fixed point theory (Den Hartog, 1947) is used here due to its high accuracy and efficiency, which makes it possible to obtain the optimal parameters of the proposed IGS-TEDVA.…”