Abstract
Observations made on the response of historical masonry towers during past earthquakes indicate that in addition to the intensity of the ground shaking, the frequency content of shaking also affects the seismic performance of these monuments. To evaluate this phenomenon, the influence of the mean period of the ground motion (Tm), as a frequency content indicator, on the seismic behavior of the towers is assessed. To this end, first, the vulnerability of four towers with different aspect ratios and vibration periods (Ts) are evaluated by means of the Incremental Dynamic Analysis (IDA). For this purpose, 37 ground motion records, corresponding to the stations located in sites with different types of soil, are utilized. The nonlinear time history analyzes of the towers are carried out using the OPENSEES software by means of an Equivalent Beam Element with fiber sections. In order to investigate the effects of the frequency content of the ground motion on the seismic response of the towers, for every tower, the variation of the PGA of the ground motion and the induced internal force in the tower at the point of failure are plotted against the period ratio (Tm/Ts). According to the analysis results, it is found that the failure PGA increases as the period ratio becomes smaller. It is also noted that the induced shear in the tower exhibits a similar trend.
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References
Anzani A, Binda L, Carpinteri A, Invernizzi S, Lacidogna G (2010) A multilevel approach for the damage assessment of historic masonry towers. J Cult Herit. 11(4):459–470. https://doi.org/10.1016/j.culher.2009.11.008
ASCE/SEI 7‐16 (2016) Minimum design loads and associated criteria for buildings and other structures. American Society of Civil Engineers, Reston
Bartoli G, Betti M, Marra AM, Monchetti S (2017a) Semiempirical formulations for estimating the main frequency of slender masonry towers. J Perform Constr Facil 31(4):04017025. https://doi.org/10.1061/(ASCE)CF.1943-5509.0001017
Bartoli G, Betti M, Monchetti S (2017b) Seismic risk assessment of historic masonry towers: comparison of four case studies. J Perform Constr Facil 31(5):04017039. https://doi.org/10.1061/(ASCE)CF.1943-5509.0001039
Bocciarelli M, Barbieri G (2017) A numerical procedure for the pushover analysis of masonry towers. Soil Dyn Earthq Eng 1(93):162–171. https://doi.org/10.1016/j.soildyn.2016.07.022
Casolo S, Milani G, Uva G, Alessandri C (2013) Comparative seismic vulnerability analysis on ten masonry towers in the coastal Po Valley in Italy. Eng Struct 1(49):465–490. https://doi.org/10.1016/j.engstruct.2012.11.033
Casolo S, Diana V, Uva G (2017) Influence of soil deformability on the seismic response of a masonry tower. Bull Earthq Eng. 15(5):1991–2014
Castellazzi G, D’Altri AM, de Miranda S, Chiozzi A, Tralli A (2018) Numerical insights on the seismic behavior of a non-isolated historical masonry tower. Bull Earthq Eng 16(2):933–961. https://doi.org/10.1007/s10518-017-0231-6
Cavalagli N, Comanducci G, Gentile C, Guidobaldi M, Saisi A, Ubertini F (2017) Detecting earthquake-induced damage in historic masonry towers using continuously monitored dynamic response-only data. Procedia Eng 1(199):3416–3421. https://doi.org/10.1016/j.proeng.2017.09.581
Iranian National Building Code (part 6): loading (2013)
D’Ambrisi A, Mariani V, Mezzi M (2012) Seismic assessment of a historical masonry tower with nonlinear static and dynamic analyses tuned on ambient vibration tests. Eng Struct 1(36):210–219. https://doi.org/10.1016/j.engstruct.2011.12.009
de Silva F, Pitilakis D, Ceroni F, Sica S, Silvestri F (2018) Experimental and numerical dynamic identification of a historic masonry bell tower accounting for different types of interaction. Soil Dyn Earthq Eng 1(109):235–250. https://doi.org/10.1016/j.soildyn.2018.03.012
Diaferio M, Foti D, Potenza F (2018) Prediction of the fundamental frequencies and modal shapes of historic masonry towers by empirical equations based on experimental data. Eng Struct 1(156):433–442. https://doi.org/10.1016/j.engstruct.2017.11.061
Facchini L, Betti M, Corazzi R, Kovacevic VC (2017) Nonlinear seismic behavior of historical masonry towers by means of different numerical models. Procedia Eng 1(199):601–606. https://doi.org/10.1016/j.proeng.2017.09.103
FEMA F (2000) Recommended seismic design criteria for new steel moment-frame buildings. FEMA-350
García-Macías E, Ubertini F (2019) Seismic interferometry for earthquake-induced damage identification in historic masonry towers. Mech Syst Signal Process 1(132):380–404. https://doi.org/10.1016/j.ymssp.2019.06.037
Hickey J, Broderick B (2019) Influence of mean period of ground motion on inelastic drift demands in cbfs designed to eurocode 8. Eng Struct 1(182):172–184. https://doi.org/10.1016/j.engstruct.2018.12.055
Invernizzi S, Lacidogna G, Lozano-Ramírez NE, Carpinteri A (2019) Structural monitoring and assessment of an ancient masonry tower. Eng Fract Mech 1(210):429–443. https://doi.org/10.1016/j.engfracmech.2018.05.011
Kumar M, Castro JM, Stafford PJ, Elghazouli AY (2011) Influence of the mean period of ground motion on the inelastic dynamic response of single and multi degree of freedom systems. Earthq Eng Struct Dyn 40(3):237–256. https://doi.org/10.1002/eqe.1013
Lee J (2009) Engineering characterization of earthquake ground motions. PhD diss
Maheri MR (2004) Seismic vulnerability of post-Islamic monumental structures in Iran: review of historical sources. J Archit Eng 10(4):160–166. https://doi.org/10.1061/(ASCE)1076-0431(2004)10:4(160)
Maheri MR, Khajeheian MK, Vatanpour F (2019) In-plane seismic retrofitting of hollow concrete block masonry walls with RC layers. Structures 20:425–436. https://doi.org/10.1016/j.istruc.2019.05.008
Marra AM, Salvatori L, Spinelli P, Bartoli G (2017) Incremental dynamic and nonlinear static analyses for seismic assessment of medieval masonry towers. J Perform Constr Facil 31(4):04017032. https://doi.org/10.1061/(ASCE)CF.1943-5509.0001022
Mendes N (2006) Analise estrutural do minarete Qutub Minar. Universidade do Minho, Guimaraes (in Portuguese)
Micelli F, Cascardi A (2020) Structural assessment and seismic analysis of a 14th century masonry tower. Eng Fail Anal 1(107):104198. https://doi.org/10.1016/j.engfailanal.2019.104198
Najafgholipour MA, Maheri MR, Lourenco PB (2014) Definition of interaction curves for the in-plane and out-of-plane capacity in brick masonry walls. Constr Build Mater 55C:168–182. https://doi.org/10.1016/j.conbuildmat.2014.01.028
Najafgholipour MA, Maheri MR, Darvishi H, Dehghan SM (2019) A semi-analytical formulation for estimating the fundamental vibration frequency of historical masonry towers. Bull Earthq Eng 17(5):2627–2645. https://doi.org/10.1007/s10518-018-00552-6
Peña F, Lourenço PB, Mendes N, Oliveira DV (2010) Numerical models for the seismic assessment of an old masonry tower. Eng Struct 32(5):1466–1478. https://doi.org/10.1016/j.engstruct.2010.01.027
Pintucchi B, Zani N (2014) Effectiveness of nonlinear static procedures for slender masonry towers. Bull Earthq Eng 12(6):2531–2556. https://doi.org/10.1007/s10518-014-9595-z
Preciado A (2015) Seismic vulnerability and failure modes simulation of ancient masonry towers by validated virtual finite element models. Eng Fail Anal 1(57):72–87. https://doi.org/10.1016/j.engfailanal.2015.07.030
Rathje EM, Faraj F, Russell S, Bray JD (2004) Empirical relationships for frequency content parameters of earthquake ground motions. Earthq Spectra 20(1):119–144. https://doi.org/10.1193/1.1643356
Romaro F (2011) A study on seismic behaviour of masonry towers. Doctoral dissertation, University of Trento
Saisi A, Gentile C, Guidobaldi M, Xu M (2015) Dynamic monitoring and seismic response of a historic masonry tower. In: Key engineering materials, vol 628. Trans Tech Publications Ltd, pp 55–60. https://doi.org/10.4028/www.scientific.net/KEM.628.55
Sarhosis V, Milani G, Formisano A, Fabbrocino F (2018) Evaluation of different approaches for the estimation of the seismic vulnerability of masonry towers. Bull Earthq Eng. 16(3):1511–1545. https://doi.org/10.1007/s10518-017-0258-8
Shakya M, Varum H, Vicente R, Costa A (2016) Empirical formulation for estimating the fundamental frequency of slender masonry structures. Int J Archit Herit 10(1):55–66. https://doi.org/10.1080/15583058.2014.951796
Silva FD (2020) Influence of soil-structure interaction on the site-specific seismic demand to masonry towers. Soil Dyn Earthq Eng. https://doi.org/10.1016/j.soildyn.2019.106023
Torelli G, D’Ayala D, Betti M, Bartoli G (2020) Analytical and numerical seismic assessment of heritage masonry towers. Bull Earthq Eng 18(3):969–1008. https://doi.org/10.1007/s10518-019-00732-y
Valente M, Milani G (2016a) Non-linear dynamic and static analyses on eight historical masonry towers in the North-East of Italy. Eng Struct 1(114):241–270. https://doi.org/10.1016/j.engstruct.2016.02.004
Valente M, Milani G (2016b) Seismic assessment of historical masonry towers by means of simplified approaches and standard FEM. Constr Build Mater 1(108):74–104. https://doi.org/10.1016/j.conbuildmat.2016.01.025
Vamvatsikos D, Cornell CA (2002) Incremental dynamic analysis. Earthq Eng Struct Dyn 31(3):491–514. https://doi.org/10.1002/eqe.141
Xie Q, Xu D, Zhang Y, Yu Y, Hao W (2020) Shaking table testing and numerical simulation of the seismic response of a typical China ancient masonry tower. Bull Earthq Eng 18(1):331–355. https://doi.org/10.1007/s10518-019-00731-z
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M.A. Najafgholipour: Conceptualization, Methodology, Validation, Investigation, Visualization, Writing original draft. H. Darvishi: Validation, Investigation, Writing—original draft. M.R. Maheri: Conceptualization, Writing—review and editing.
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Najafgholipour, M.A., Darvishi, H. & Maheri, M.R. The influence of the frequency content of ground motion on the nonlinear dynamic response and seismic vulnerability of historical masonry towers. Bull Earthquake Eng 19, 2919–2940 (2021). https://doi.org/10.1007/s10518-021-01097-x
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DOI: https://doi.org/10.1007/s10518-021-01097-x