Multi-objective optimal design of inerter-based vibration absorbers for earthquake protection of multi-storey building structures

Abstract

Taflanidis AA, Giaralis A and Patsialis D (2019) Multi-objective optimal design of inerter-based vibration absorbers for earthquake protection of multi-storey building structures.

Damping enhancement principle of inerter system

“…1,2 Many studies have been conducted to propose various device and structural control approaches in order to reduce the vibration response produced by earthquakes, wind, etc. [3][4][5][6][7] As a recently introduced mechanical element for structural control, the inerter has attracted an increasing amount of attention and has been studied in different fields, from the improved suspension system in mechanical [8][9][10][11][12] and railway engineering 13,14 to the protection of building structures, [15][16][17][18][19][20][21][22][23][24][25] storage tanks, [26][27][28] wind turbine towers, 29,30 platforms, 31 and performanceimproved cables [32][33][34][35] and isolation systems [36][37][38][39][40][41][42][43][44][45] in civil engineering. An inerter is a type of two-terminal inertia element, and its relative motion can be produced between the two termi...…”

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).…”

“…To gain further insight to the effect of top-storey stiffness reduction to TMDI motion control capacity, attention is herein focused on quantifying the peak forces developing at the inerter and at the damping device of optimally designed TMDIs according to Eq.(21). The quantification of peak inerter and damping forces is also deemed essential to check that they are not excessive and, thus, can be economically accommodated locally by the host structure as this is found to be critical for TMDIs used in seismic protection of building structures (see e.g., Ruiz et al 2018 andTaflanidis et al 2019). In this respect, the upper two rows of panels in Fig.…”

Input energy reduction principle of structures with generic tuned mass damper inerter

“…The inerter‐based system is widely accepted and effective for vibration control 1,2 and has attracted many researchers working on the relevant invention of devices 3–7 and optimal designs 8–11 . In recent literature, the performance evaluation and benefits of inerter‐based systems for the protection of building structures, 12–18 wind turbine towers, 19 storage tanks, 20 and semi‐submersible platforms, 21 the vibration suppression of cables 22 and machines, 23 and the wind‐induced vibration mitigation of tall buildings 24,25 have been examined. The ideal linear inerter is a massless two‐terminal inertia element that can produce an inertia force F I in the form of , 26 where represents the relative acceleration across the two terminals of the inerter, and m in is called the inertance.…”