Vibration control of a cluster of buildings through the Vibrating Barrier

Abstract A novel device, called Vibrating Barrier (ViBa), that aims to reduce the vibrations of adjacent structures subjected to ground motion waves has been recently proposed. The ViBa is a structure buried in the soil and detached from surrounding buildings that is able to absorb a significant portion of the dynamic energy arising from the ground motion. The working principle exploits the dynamic interaction among vibrating structures due to the propagation of waves through the soil, namely the structure–soil–structure interaction. In this paper the efficiency of the ViBa is investigated to control the vibrations of a cluster of buildings. To this aim, a discrete model of structures-site interaction involving multiple buildings and the ViBa is developed where the effects of the soil on the structures, i.e. the soil-structure interaction (SSI), the structure-soil-structure interaction (SSSI) as well as the ViBa-soil-structures interaction are taken into account by means of linear elastic springs. Closed-form solutions are derived to design the ViBa in the case of harmonic excitation from the analysis of the discrete model. Advanced finite element numerical simulations are performed in order to assess the efficiency of the ViBa for protecting more than a single building. Parametric studies are also conducted to identify beneficial/adverse effects in the use of the proposed vibration control strategy to protect cluster of buildings. Finally, experimental shake table tests are performed to a prototype of a cluster of two buildings protected by the ViBa device for validating the proposed numerical models.

[1]  Jonathan Knappett,et al.  Shake table testing of the dynamic interaction between two and three adjacent buildings (SSSI) , 2016 .

[2]  Jacobo Bielak,et al.  Coupled Soil-Structure Interaction Effects of Building Clusters during Earthquakes , 2015 .

[3]  J. Enrique Luco,et al.  Dynamic structure-soil-structure interaction , 1973, Bulletin of the Seismological Society of America.

[4]  Philippe Guéguen,et al.  Experimental and Numerical Evidence of the Clustering Effect of Structures on Their Response during an Earthquake: A Case Study of Three Identical Towers in the City of Grenoble, France , 2016 .

[5]  Pierfrancesco Cacciola,et al.  Vibration Control of an Industrial Building through the Vibrating Barrier , 2015 .

[6]  R. Woods SCREENING OF SURFACE WAVES IN SOILS , 1968 .

[7]  G. B. Warburton,et al.  Forced Vibrations of Two Masses on an Elastic Half Space , 1971 .

[8]  Jeffrey C. Lagarias,et al.  Convergence Properties of the Nelder-Mead Simplex Method in Low Dimensions , 1998, SIAM J. Optim..

[9]  Didier Clouteau,et al.  MODIFICATIONS OF THE GROUND MOTION IN DENSE URBAN AREAS , 2001 .

[10]  P. Cacciola,et al.  Vibrating barrier: a novel device for the passive control of structures under ground motion , 2015, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[11]  P. Bard,et al.  Seismic Site-City Interaction: Main Governing Phenomena through Simplified Numerical Models , 2006 .

[12]  Jeffrey S. Mulliken,et al.  Discrete model for dynamic through-the-soil coupling of 3-D foundations and structures , 1998 .

[13]  P. Guéguen,et al.  Site-City Seismic Interaction in Mexico City–Like Environments: An Analytical Study , 2002 .

[14]  T. Kobori,et al.  Dynamical characteristics of soil-structure cross-interaction systems , 1973 .

[15]  Michio Iguchi,et al.  Models test on dynamic structure–structure interaction of nuclear power plant buildings , 1999 .

[16]  Nicholas A Alexander,et al.  A simple discrete model for interaction of adjacent buildings during earthquakes , 2013 .

[17]  Mihailo D. Trifunac,et al.  Two-dimensional, antiplane, building-soil-building interaction for two or more buildings and for incident planet SH waves , 1975 .

[18]  Antonio Palermo,et al.  Engineered metabarrier as shield from seismic surface waves , 2016, Scientific Reports.

[19]  Nicholas A Alexander,et al.  Obtaining estimates of the low-frequency ‘fling’, instrument tilts and displacement timeseries using wavelet decomposition , 2010 .

[20]  Philippe Roux,et al.  A seismic metamaterial: The resonant metawedge , 2016, Scientific Reports.

[21]  Paul-Remo Wagner,et al.  On the feasibility of structural metamaterials for seismic-induced vibration mitigation , 2016 .

[22]  Vasilis K. Dertimanis,et al.  Feasibility Analysis on the Attenuation of Strong Ground Motions Using Finite Periodic Lattices of Mass-in-Mass Barriers , 2016 .

[23]  Pierfrancesco Cacciola,et al.  Sensitivity of the stochastic response of structures coupled with vibrating barriers , 2016 .

[24]  Francisco J. Chávez-García,et al.  The contribution of the built environment to the ‘free-field’ ground motion in Mexico City , 2002 .

[25]  Claude Boutin,et al.  Site-city interaction: Theoretical, numerical and experimental crossed-analysis , 2016 .

[26]  Olafur Oddbjornsson,et al.  Two dimensional numerical and experimental models for the study of structure-soil-structure interaction involving three buildings , 2015 .

[27]  Pierfrancesco Cacciola,et al.  Vibration control of piled-structures through structure-soil-structure-interaction , 2015 .

[28]  Bruno Azzerboni,et al.  Seismic metamaterials based on isochronous mechanical oscillators , 2014 .

[29]  Meng-Lin Lou,et al.  Structure–soil–structure interaction: Literature review , 2011 .

[30]  S. Kramer Geotechnical Earthquake Engineering , 1996 .

[31]  Chiara Daraio,et al.  Wide band-gap seismic metastructures , 2015 .

[32]  Marius Ghergu,et al.  Structure-soil-structure coupling in seismic excitation and city effect , 2009 .