Consideration of modelling uncertainties in the seismic assessment of masonry buildings by equivalent-frame approach

Abstract The choice of modelling strategy and analysis options has a significant influence on the results of the seismic assessment of existing buildings and therefore it is very important to have an idea of the dispersion in the results due to different hypotheses regarding the structural model. This paper concentrates on pushover analysis, considered as the reference method currently adopted by engineers for the seismic assessment of existing masonry buildings, and on the equivalent-frame macro-element approach, assumed to be a satisfactory compromise between computational effort and accuracy in the results. A logic tree approach is used to treat the different considered options, including the definition of the geometry of the equivalent frame, the distribution of loads among the masonry piers and on the horizontal diaphragms, the degree of coupling between orthogonal walls, the definition of the cracked stiffness of structural elements and the modelling of masonry spandrels. By assigning a value of probability to each end branch of the tree, the distribution of the peak ground acceleration corresponding to the selected limit states can be obtained and, from this distribution, a quantitative estimate (in probabilistic terms) of the effect of modelling uncertainties on the seismic response of masonry structures is derived.

[1]  Guido Magenes,et al.  Evaluation of Uncertainties in the Seismic Assessment of Existing Masonry Buildings , 2012 .

[2]  Katrin Beyer,et al.  Quasi-Static Cyclic Tests on Masonry Spandrels , 2012 .

[3]  Helmut Krawinkler,et al.  Van Nuys Hotel Building Testbed Report: Exercising Seismic Performance Assessment , 2005 .

[4]  Sergio Lagomarsino,et al.  A nonlinear macroelement model for the seismic analysis of masonry buildings , 2014 .

[5]  D. Marquardt.  An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .

[6]  Guido Magenes,et al.  EXPERIMENTAL ASSESSMENT OF THE SHEAR RESPONSE OF AUTOCLAVED AERATED CONCRETE ( AAC ) MASONRY WITH FLAT TRUSS BED-JOINT REINFORCEMENT , 2012 .

[7]  Guido Magenes,et al.  Identification of Suitable Limit States from Nonlinear Dynamic Analyses of Masonry Structures , 2014 .

[8]  G Magenes,et al.  A METHOD FOR PUSHOVER ANALYSIS IN SEISMIC ASSESSMENT OF MASONRY BUILDING , 2000 .

[9]  Curt B. Haselton,et al.  Seismic Collapse Safety and Behavior of Modern Reinforced Concrete Moment Frame Buildings , 2007 .

[10]  Amr S. Elnashai,et al.  The effect of material and ground motion uncertainty on the seismic vulnerability curves of RC structure , 2006 .

[11]  Gabriele Milani,et al.  A simplified homogenized limit analysis model for randomly assembled blocks out-of-plane loaded , 2010 .

[12]  Matjaž Dolšek,et al.  Envelope‐based pushover analysis procedure for the approximate seismic response analysis of buildings , 2014 .

[13]  Jack W. Baker,et al.  Incorporating modeling uncertainties in the assessment of seismic collapse risk of buildings , 2009 .

[14]  Peter Fajfar,et al.  The extended N2 method considering higher mode effects in both plan and elevation , 2012, Bulletin of Earthquake Engineering.

[15]  Amr S. Elnashai,et al.  Sources of uncertainty and future research requirements in seismic analysis of structures , 1993 .

[16]  Nicola Augenti,et al.  Uncertainty in Seismic Capacity of Masonry Buildings , 2012 .

[17]  Gabriele Milani,et al.  Monte Carlo homogenized limit analysis model for randomly assembled blocks in-plane loaded , 2010 .

[18]  Guido Magenes,et al.  Seismic Performance of Autoclaved Aerated Concrete (AAC) Masonry: From Experimental Testing of the In-Plane Capacity of Walls to Building Response Simulation , 2011 .

[19]  R. H. Myers,et al.  STAT 319 : Probability & Statistics for Engineers & Scientists Term 152 ( 1 ) Final Exam Wednesday 11 / 05 / 2016 8 : 00 – 10 : 30 AM , 2016 .

[20]  M. Fardis,et al.  Designer's guide to EN 1998-1 and en 1998-5 Eurocode 8: Design of structures for earthquake resistance; general rules, seismic actions, design rules for buildings, foundations and retaining structures/ M.Fardis[et al.] , 2005 .

[21]  M. Dolšek.  Simplified method for seismic risk assessment of buildings with consideration of aleatory and epistemic uncertainty , 2011 .

[22]  M. Byers.  The confidence factor. , 2004, The Journal of the Michigan Dental Association.

[23]  Gabriele Milani,et al.  Homogenized limit analysis of masonry structures with random input properties: polynomial Response Surface approximation and Monte Carlo simulations , 2010 .

[24]  Mirko Corigliano,et al.  Mesozonation of the Italian territory for the definition of real spectrum-compatible accelerograms , 2012, Bulletin of Earthquake Engineering.

[25]  Serena Cattari,et al.  TREMURI program: An equivalent frame model for the nonlinear seismic analysis of masonry buildings , 2013 .

[26]  Rui Pinho,et al.  Analysis Issues on Seismic Assessment of Existing Structures , 2011 .

[27]  Guido Magenes,et al.  The Effect of Stiffened Floor and Roof Diaphragms on the Experimental Seismic Response of a Full-Scale Unreinforced Stone Masonry Building , 2014 .

[28]  P. Fajfar,et al.  A Nonlinear Analysis Method for Performance Based Seismic Design , 2001 .

[29]  Guido Magenes,et al.  ISSUES ON THE USE OF TIME-HISTORY ANALYSIS FOR THE DESIGN AND ASSESSMENT OF MASONRY STRUCTURES , 2014 .

[30]  Kenneth Levenberg.  A METHOD FOR THE SOLUTION OF CERTAIN NON – LINEAR PROBLEMS IN LEAST SQUARES , 1944 .

[31]  Tae-Hyung Lee,et al.  Seismic demand sensitivity of reinforced concrete shear‐wall building using FOSM method , 2005 .

[32]  Fatemeh Jalayer,et al.  Structural modeling uncertainties and their influence on seismic assessment of existing RC structures , 2010 .

[33]  Guido Magenes,et al.  Experimental assessment of the in-plane lateral capacity of autoclaved aerated concrete (AAC) masonry walls with flat-truss bed-joint reinforcement , 2015 .

[34]  Guido Magenes,et al.  Shaking Table Test of a Strengthened Full-Scale Stone Masonry Building with Flexible Diaphragms , 2014 .

[35]  Gabriele Milani,et al.  3D homogenized limit analysis of masonry buildings under horizontal loads , 2007 .

[36]  L. Ibarra.  Global collapse of frame structures under seismic excitations , 2003 .

[37]  Miha Tomazevic,et al.  Earthquake-Resistant Design of Masonry Buildings , 1999 .

[38]  Miha Tomaževič,et al.  Dynamic modelling of masonry buildings: Storey mechanism model as a simple alternative , 1987 .

[39]  A. Penna,et al.  Experimental characterisation of stone masonry mechanical properties , 2010 .

[40]  Matjaz Dolsek,et al.  Incremental dynamic analysis with consideration of modeling uncertainties , 2009 .

[41]  Mirko Corigliano,et al.  ASCONA: Automated Selection of COmpatible Natural Accelerograms , 2012 .

[42]  Curt B. Haselton,et al.  Assessing seismic collapse safety of modern reinforced concrete moment frame buildings , 2006 .

[43]  Francesca da Porto,et al.  Performance of masonry buildings during the Emilia 2012 earthquake , 2014, Bulletin of Earthquake Engineering.

[44]  G. Magenes,et al.  Experimental cyclic behaviour of stone masonry spandrels , 2012 .

[45]  Peter Fajfar,et al.  A Nonlinear Analysis Method for Performance-Based Seismic Design , 2000 .

[46]  Iztok Peruš,et al.  TORSIONAL EFFECTS IN THE PUSHOVER-BASED SEISMIC ANALYSIS OF BUILDINGS , 2005 .

[47]  Guido Magenes,et al.  A framework for the seismic assessment of existing masonry buildings accounting for different sources of uncertainty , 2014 .

[48]  Peter Fajfar,et al.  Approximate seismic risk assessment of building structures with explicit consideration of uncertainties , 2014 .

[49]  Fulvio Parisi,et al.  Non-Linear Seismic Analysis of Masonry Buildings , 2010 .