Abstract
Large-scale simulations and forensic analyses of the seismic behaviour of real case studies are often based on simplified analytical approaches to estimate the reduction in fundamental frequency and the amount of radiation damping induced by dynamic soil-foundation-structure (SFS) interaction. The accuracy of existing closed-form solutions may be limited because they were derived through single degree-of-freedom structural models with shallow rigid foundations placed on a homogeneous, linear elastic half-space. This paper investigates the effectiveness of those formulations in capturing the dynamic out-of-plane response of single load-bearing walls within unreinforced masonry buildings having either a shallow foundation or an underground storey embedded in layered soil. To that aim, analytical predictions based on the replacement oscillator approach are compared to results of two-dimensional dynamic analyses of coupled SFS elastic models under varying geotechnical and structural properties such as the soil stratigraphy, foundation depth and number of building storeys. Regression models and a relative soil-structure stiffness parameter are proposed to quickly predict the frequency reduction induced by SFS interaction, accounting for the presence of an embedded foundation, an underground storey and a layered soil. The effects of SFS interaction are also evaluated in terms of equivalent damping ratio, showing the limitations of simplified approaches. Since the geometric layouts considered in this study are rather recurrent in the Italian and European built heritage, the proposed procedure can be extended to similar structural configurations.
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References
Augenti N, Parisi F (2010a) Learning from construction failures due to the 2009 L’Aquila, Italy, earthquake. J Perform Constr Facil 24(6):536–555
Augenti N, Parisi F (2010b) Constitutive models for tuff masonry under uniaxial compression. J Mater Civ Eng 22(11):1102–1111
Augenti N, Parisi F (2019) Teoria e tecnica delle strutture in muratura. Hoepli, Milan, Italy (in Italian)
Augenti N, Parisi F, Prota A, Manfredi G (2011) In-plane lateral response of a full-scale masonry sub-assemblage with and without an inorganic matrix-grid strengthening system. J Compos Constr 15(4):578–590
Aviles J, Perez-Rocha LE (1996) Evaluation of interaction effects on the system period and the system damping due to foundation embedment and layer depth. Soil Dyn Earthq Eng 15:11–27
Aviles J, Perez-Rocha LE (1998) Effects of foundation embedment during building-soil interaction. Earthq Eng Struct Dyn 27:1523–1540
Beredugo YO, Novak M (1972) Coupled horizontal and rocking vibration of embedded footings. Can Geotech J 9(4):477–497
Bielak J (1975) Dynamic behavior of structures with embedded foundation. Earthq Eng Struct Dyn 3:259–274
Bruneau M (1994) State-of-the-art report on seismic performance of unreinforced masonry buildings. J Struct Eng 120(1):230–251
Casciati S, Borja RI (2004) Dynamic FE analysis of south memnon colossus including 3D soil-foundation-structure interaction. Comput Struct 82:1719–1736
Cattari S, Sivori D, Brunelli A, Sica S, Piro A, de Silva F, Parisi F, Silvestri F (2019) Soil-structure interaction effects on the dynamic behavior of a masonry school damaged by the 2016–2017 Central Italy earthquake sequence. In: Proceedings of 7th International Conference on Earthquake Geotechnical Engineering, Rome, 17–20 June 2019
CEN (2004) Eurocode 8: design of structures for earthquake resistance—part 1: general rules, seismic actions and rules for buildings. EN 1998-1:2004, Comité Européen de Normalisation, Brussels
Ceroni F, Sica S, Pecce MR, Garofano A (2014) Evaluation of the natural vibration frequencies of a historical masonry building accounting for SSI. Soil Dyn Earthq Eng 64:95–101
Conti R, Morigi M, Viggiani MB (2016) Filtering effect induced by rigid massless embedded foundations. Bull Earthq Eng 15:1019–1035
Cosentini RM, Foti S, Lancellotta R, Sabia D (2015) Dynamic behavior of shallow founded historic towers: validation of simplified approaches for seismic analyses. Int J Geotech Eng 9(1):13–29
D’Ayala DF, Paganoni S (2011) Assessment and analysis of damage in L’Aquila historic city centre after 6th April 2009. Bull Earthq Eng 9(1):81–104
de Silva F, Sica S, Silvestri F, Aversa S (2016) Estimation of the ground shaking from the response of rigid bodies. Annals of Geophysics, 59, Fast Track 5 of the special issue: The Amatrice seismic sequence: preliminary data and results, 2016; https://doi.org/10.4401/ag-7296
de Silva F, Pitilakis D, Ceroni F, Sica S, Silvestri F (2018) Experimental and numerical dynamic identification of Carmine bell tower in Naples (Italy). Soil Dyn Earthq Eng 109:235–250
de Silva F, Ceroni F, Sica S, Silvestri F (2019) Fragility curves of slender towers accounting for soil-structure interaction. In: Proceedings of 7th International Conference on Earthquake Geotechnical Engineering, Rome, 17–20 June 2019
Dominguez J (1978) Dynamic stiffness of rectangular foundations. Research Report R78-20. Department of Civil Engineering, Massachusetts Institute of Technology, Cambridge
Elsabee F, Morray JP (1977) Dynamic behavior of embedded foundations. Research Report R77-33, Massachusetts Institute of Technology, Cambridge
Faccioli E, Paolucci R, Vanini M (1998) 3D site effects and soil-foundation interaction in earthquake and vibration risk evaluation. Final report of the European research project TRISEE. European Commission, Brussels
Gazetas G (1983) Analysis of machine foundation vibrations: state of the art. Soil Dyn Earthq Eng 2:1–41
Gazetas G (1991) Formulas and charts for impedances of surface and embedded foundations. J Geotech Eng 117:1363–1381
Gazetas G (2015) 4th Ishihara lecture: soil-foundation-structure systems beyond conventional seismic failure thresholds. Soil Dyn Earthq Eng 68:23–39
Gerolymos N, Gazetas G (2006a) Winkler model for lateral response of rigid caisson foundations in linear soil. Soil Dyn Earthq Eng 26(5):347–361
Gerolymos N, Gazetas G (2006b) Development of Winkler model for static and dynamic response of caisson foundations with soil and interface nonlinearities. Soil Dyn Earthq Eng 26(5):363–376
Gerolymos N, Gazetas G (2006c) Static and dynamic response of massive caisson foundations with soil and interface nonlinearities—validation and results. Soil Dyn Earthq Eng 26(5):377–394
Givens MJ, Mylonakis G, Stewart JP (2016) Modular analytical solutions for foundation damping in soil-structure interaction applications. Earthq Spectra 32(3):1749–1768
Guerrini G, Graziotti F, Penna A, Magenes G (2017) Improved evaluation of inelastic displacement demands for short period masonry structures. Earthq Eng Struct Dyn 46:1411–1430
Itasca (2011) FLAC 7.0—fast lagrangian analysis of continua—user’s guide, Itasca Consulting Group, Minneapolis
Jahankhah H, Farashahi PF (2017) The effect of foundation embedment on net horizontal foundation input motion: the case of strip foundation with incomplete contact to nearby medium. Soil Dyn Earthq Eng 96:35–48
Jaya KP, Meher Prasad A (2002) Embedded foundation in layered soil under dynamic excitations. Soil Dyn Earthq Eng 22:485–498
Kallioras S, Guerrini G, Tomassetti U, Marchesi B, Penna A, Graziotti F, Magenes G (2018) Experimental seismic performance of a full-scale unreinforced clay-masonry building with flexible timber diaphragms. Eng Struct 161:231–249
Karapiperis K, Gerolymos N (2014) Combined loading of caisson foundations in cohesive soil: finite element versus Winkler modeling. Comput Geotech 56:100–120
Kausel E (2010) Early history of soil-structure interaction. Soil Dyn Earthq Eng 30:822–832
Kausel E, Roesset JM (1975) Dynamic stiffness of circular foundations. J Eng Mech Div 101(6):770–785
Kim S, Stewart JP (2003) Kinematic soil-structure interaction from strong motion recordings. J Geotech Geoenviron Eng 129:323–335
Kuhlemeyer RL, Lysmer J (1973) Finite element method accuracy for wave propagation problems. J Soil Mech Found Div 99(SM5):421–427
Lagomarsino S, Cattari S (2015) PERPETUATE guidelines for seismic performance based assessment of cultural heritage masonry structures. Bull Earthq Eng 13(1):13–47
Lourenço PB (1996) Computational strategies for masonry structures. PhD Thesis, Delft University of Technology, Delft, The Netherlands
Madiai C, Renzi S, Vannucchi G (2013) Seismic risk assessment of San Gimignano towers: Geotechnical aspects and soil-structure interaction. Geotechnology engineering for the preservation of monuments and historic sites. Taylor & Francis Group, London, pp 523–530
Maravas A, Mylonakis G, Karabalis LD (2014) Simplified discrete systems for dynamic analysis of structures on footings and piles. Soil Dyn Earthq Eng 61–62:29–39
Meek W, Wolf JP (1994) Cone models for embedded foundation. J Geotech Eng 120:60–80
MIT (2018) Norme Tecniche per le Costruzioni. DM 17/1/2018, Italian Ministry of Infrastructure and Transportation, Rome, Italy (in Italian)
Mylonakis G, Gazetas G (2000) Seismic soil-structure interaction: beneficial or detrimental. J Earthq Eng 4:277–301
Mylonakis G, Nikolaou S, Gazetas G (2006) Footings under seismic loading: analysis and design issues with emphasis on bridge foundations. Soil Dyn Earthq Eng 26:824–853
Parisi F, Augenti N, Prota A (2014) Implications of the spandrel type on the lateral behavior of unreinforced masonry walls. Earthq Eng Struct Dyn 43(12):1867–1887
Parisi F, Balestrieri C, Varum H (2019) Nonlinear finite element model for traditional adobe masonry. Constr Build Mater 223:450–462
Penna A, Morandi P, Rota M, Manzini CF, da Porto F, Magenes G (2014) Performance of masonry buildings during the Emilia 2012 earthquake. Bull Earthq Eng 12(5):2255–2273
Piro A, de Silva F, Scotto di Santolo A, Parisi F, Silvestri F (2018) Sensitivity analysis of seismic soil-cavity-structure interaction in historic urban centres. In: Proceedings of 16th European conference earthquake engineering, Thessaloniki, 18–21 June 2018
Pitilakis D, Karatzetzou A (2015) Dynamic stiffness of monumental flexible masonry foundations. Bull Earthq Eng 13:67–82
Shirato M, Kuono T, Asai R, Fukui J, Paolucci R (2008) Large scale experiments on nonlinear behavior of shallow foundations subjected to strong earthquakes. Soils Found 48:673–692
Sorrentino L, Liberatore L, Liberatore D, Masiani R (2014) The behaviour of vernacular buildings in the 2012 Emilia earthquakes. Bull Earthq Eng 12(5):2367–2382
Spyrakos CC, Beskos D (1986) Dynamic response of flexible strip foundation by boundary and finite elements. Soil Dyn Earthq Eng 5(2):84–96
Stewart JP, Fenves G, Seed R (1999) Seismic soil-structure interaction in buildings. I: analytical methods. J Geotech Geoenviron Eng 125:26–37
Stewart JP, Kim S, Bielak J, Dobry R, Power M (2003) Revisions to soil-structure interaction procedures in NEHRP design provisions. Earthq Spectra 19(3):677–696
Tomaževič M, Weiss P (2010) Displacement capacity of masonry buildings as a basis for the assessment of behavior factor: an experimental study. Bull Earthq Eng 8(6):1267–1294
Varun V, Assimaki D, Gazetas G (2009) A simplified model for lateral response of large diameter caisson foundations—Linear elastic formulation. Soil Dyn Earthq Eng 29(2):268–291
Veletsos A, Meek JW (1974) Dynamic behavior of building-foundation systems. Earthq Eng Struct Dyn 3:121–138
Veletsos AS, Nair VV (1975) Seismic interaction of structures on hysteretic foundation. J Struct Eng 101:109–129
Vuoto A, Piro A, de Silva F, Scotto di Santolo A, Parisi F, Silvestri F (2018) Seismic soil-structure interaction: two case studies in Sant’Agata de’ Goti, Italy. In: Proceedings of 16th European conference earthquake engineering, Thessaloniki, 18–21 June 2018
Wolf J (1985) Dynamic soil-structure interaction. Prentice Hall, Englewood Cliff
Acknowledgements
This study was carried out within the framework of the 2014-2018 ReLUIS-DPC research project funded by the Italian Civil Protection Department, as part of the geotechnical Work Package 3 ‘Soil-Foundation-Structure Interaction’ and structural Research Line 1 ‘Masonry Structures’.
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Piro, A., de Silva, F., Parisi, F. et al. Effects of soil-foundation-structure interaction on fundamental frequency and radiation damping ratio of historical masonry building sub-structures. Bull Earthquake Eng 18, 1187–1212 (2020). https://doi.org/10.1007/s10518-019-00748-4
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DOI: https://doi.org/10.1007/s10518-019-00748-4