A Vibrating Barrier with Grounded Inerter For Non-Invasive Seismic Protection of Existing Structures

Pierfrancesco Cacciola, Agathoklis Giaralis, Alessandro Tombari

Research output: Chapter in Book/Conference proceeding with ISSN or ISBNConference contribution with ISSN or ISBNpeer-review


The recently proposed by the first two authors Vibrating Barrier (ViBa) can be interpreted as a large-scale linear mass-damper unit buried in the ground and tuned/designed to protect surrounding structures without being directly in contact to them through a structure-soil-structure interaction mechanism. Previous research demonstrated that ViBa achieves significant structural response reduction at a cost of excessive required vibrating mass of the order of the mass of the structure sought to protect. To this end, this paper considers coupling ViBa with a grounded inerter device acting as a mass amplifier to reduce the required mass/weight of ViBa in suppressing seismically induced vibrations in structures amenable to modelling as single-degree-of freedom (SDOF) damped oscillators. The equations of motion and transfer function of a grounded inerter ViBa (IViBa) fused with a SDOF structure are derived. Two different optimal design approaches are discussed to tune the IViBa to minimize the displacement response of SDOF structure subject to harmonic and to broadband base excitations in the H∞ and H2 optimal control context. Pertinent numerical results are furnished associated with the properties of a small-scale ViBa prototype specimen to quantify the effect of the grounded inerter of different inertial property to the vibration control performance of optimally tuned IViBa. It is shown numerically using both H2 optimal performance results as well as response history analyses for an artificial quasi-stationary accelerogram that IViBa mass/weight can effectively be traded for grounded inerter inertial property to achieve the same level of structural vibration suppression to broadband seismic excitation.
Original languageEnglish
Title of host publication16th European Conference on Earthquake Engineering (16ECEE)
Publication statusPublished - 18 Jun 2018
Event16th European Conference on Earthquake Engineering - Aristotle University of Thessaloniki, Thessaloniki, Greece
Duration: 18 Jun 201821 Jun 2018


Conference16th European Conference on Earthquake Engineering
Internet address


  • Vibrating Barrier
  • inerter
  • structure-soil-structure interaction
  • optimal design


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