Risk-informed optimization of the tuned mass-damper-inerter (TMDI) for the seismic protection of multi-storey building structures

Abstract

Risk-informed optimization of the tuned mass-damper-inerter (TMDI) for the seismic protection of multi-storey building structures. Engineering Structures, 177, pp. 836-850.

Statistical seismic performance assessment of tuned mass damper inerter

“…Some of the recently proposed methods to overcome these deficiencies include but are not limited to using unusual mass ratio, 7 active TMD (ATMD), 10 semi-active TMD (SATMD), 11,12 hybrid TMDs, 13 and multiple TMDs (MTMD), 8 with their pros and cons being debated extensively. 6 F I G U R E 1 (a) Basic concept of classic TMD, 3 (b) basic concept of TMDI, 4 and (c) ideal inerter, inertance constant b, and its relationship to force 5 One of the more recent alternatives is TMD with inerter (TMDI) depicted in Figure 1b. 4 An inerter, shown in Figure 1c, is a two-terminal element with negligible mass, whose reaction force is related to the relative acceleration between the two terminals with a proportionality coefficient known as inertance (b).…”

“…RID (VMD), TVMD (SPIS-II), and TID (SPIS-I) are three popular inerter-based damping systems that have been used self-sufficiently to control the structural vibrations under seismic loads by Hwang et al, 28 Ikago et al, 15 and Lazar et al, 25 respectively. Hwang et al 28 employed a VMD to control structural vibrations; however, they used toggle brace systems to improve F I G U R E 2 Different inerter realization for converting translation motion to rotational motion: (a) ball-screw, 3 (b) rack and pinion, 4 (c) helical fluid, 5 (d) gyro-mass damper, 19 (e) living-hinge, 20 and (f) hydraulic inerter 21 the damping mechanism, whereas Ikago et al 15 incorporated the VMD with a tuning spring and proposed a tuned viscous mass damper (TVMD). 15 Subsequently, Lazar et al 25 analyzed the ability of TID to control civil engineering structures and emphasized its advantage over TMD which can reduce the required physical tuned mass to achieve a lightweight passive control.…”

Top-Story Softening for Enhanced Mitigation of Vortex Shedding-Induced Vibrations in Wind-Excited Tuned Mass Damper Inerter-Equipped Tall Buildings

“…(21) is parametrically investigated in Fig.7 and ξTMDI values increase appreciably. The fact that ξopt increases with top-storey softening for fixed TMDI inertial properties (i.e., secondary mass and inertance) is quite welcoming as it has been shown to be well-associated with improved TMDI motion control capacity for seismically excited multi-storey buildings (Ruiz et al 2018, Taflanidis et al 2019. This trend is herein confirmed as the minimum achieved   32 peak x value attained at the optimal TMDI design point reduces considerably as ξopt increases driven by higher top-storey building height (last row of panels in Fig.7).…”

ExactH2optimal solutions to inerter‐based isolation systems for building structures

“…They also developed an analytical tuning rule of a TID based on the Den Hartog's method originally for optimal tuning of TMDs. When the device inertance substituted the mass of the TMD partly, a TMD inerter (TMDI) was studied by Giaralis et al, Domenico et al, and Pietrosanti et al Giaralis and Taflanidis optimized the TMDI parameters for undamped primary structures under white noise excitation and derived a closed‐form objective as a function of the TMD mass and the inertance. Domenico et al proposed an enhanced base‐isolation system incorporating the inerter.…”