City Research Online

A novel nonlinear isolated rooftop tuned mass damper-inerter (IR-TMDI) system for seismic response mitigation of buildings

Rajana, K. & Giaralis, A. ORCID: 0000-0002-2952-1171 (2023). A novel nonlinear isolated rooftop tuned mass damper-inerter (IR-TMDI) system for seismic response mitigation of buildings. Acta Mechanica, 234(9), pp. 3751-3777. doi: 10.1007/s00707-023-03556-9


This paper conceptualizes a novel passive vibration control system comprising a tuned mass damper inerter (TMDI) contained within a seismically isolated rooftop and investigates numerically its effectiveness for seismic response mitigation of building structures. The working principle of the proposed isolated rooftop tuned mass damper inerter (IR-TMDI) system relies on the yielding of typical elastomeric isolators (e.g. lead rubber bearings) under severe earthquake ground motions to create a flexible rooftop which, in turn, increases the efficacy of the TMDI for seismic vibrations suppression. Herein, a nonlinear mechanical model is considered to explore the potential of IR-TMDI whereby the primary building structure is taken as linear damped single-mode system while the Bouc-Wen model is used to capture the nonlinear/hysteretic behavior of the rooftop isolators. An equivalent linear system (ELS), derived through statistical linearization, is used to expedite the optimal IR-TMDI tuning for different isolated rooftop properties, inertance, and primary structure natural periods under white noise excitations with different intensities as well as Kanai-Tajimi excitations for different soil conditions. It is found that tuning for maximizing TMDI seismic energy dissipation is more advantageous than tuning for minimizing primary structure displacement or acceleration response since it lowers deflection and force demands to the isolators and to the inerter. Further, significant primary structure displacement and acceleration reductions are achieved as the effective rooftop flexibility increases through reduction of the nominal strength of the isolators, which verifies the intended working principle of the IR-TMDI. This is also confirmed through response history analyses to the nonlinear model under four benchmark recorded ground motions. Moreover, for IR-TMDI with sufficiently flexible isolators, improved seismic structural performance with concurrent reduced deflection and force demands at the isolators is shown for all considered stationary excitations as the inertance scales-up, which is readily achievable technologically. Thus, it is concluded that the IR-TMDI mitigates effectively structural seismic response without requiring the inerter to span several floors, as suggested in previous studies, thus extending the TMDI applicability to both existing and low-rise new-built structures.

Publication Type: Article
Additional Information: This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at:
Publisher Keywords: Tuned mass damper inerter, floor isolation, Bouc-Wen model, statistical linearization, optimal energy design
Subjects: Q Science > QA Mathematics
T Technology > TA Engineering (General). Civil engineering (General)
Departments: School of Science & Technology > Engineering
SWORD Depositor:
[thumbnail of Rajana and Giaralis_Acta_Mech_2023_Authors version.pdf]
Text - Accepted Version
Download (4MB) | Preview


Add to AnyAdd to TwitterAdd to FacebookAdd to LinkedinAdd to PinterestAdd to Email


Downloads per month over past year

View more statistics

Actions (login required)

Admin Login Admin Login