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Soil Dynamics and Earthquake Engineering
journal homepage: www.elsevier.com/locate/soildyn
Incremental dynamic based fragility assessment of reinforced concrete
structures: Stationary vs. non-stationary artificial ground motions
Francesco Basone
a
, Liborio Cavaleri
b
, Fabio Di Trapani
c,
⁎
, Giuseppe Muscolino
d
a
Università degli Studi di Enna “Kore”, Facoltà di Ingegneria e Architettura, Cittadella Universitaria, 94100 Enna, Italy
b
Università degli Studi di Palermo, Scuola Politecnica, Dipartimento di Ingegneria Civile, Ambientale, Aerospaziale, dei Materiali DICAM, Viale delle Scienze Ed. 8, 90128
Palermo, Italy
c
Politecnico di Torino, Dipartimento di Ingegneria Strutturale, Edile e Geotecnica, Corso Duca degli Abruzzi, 24, 10128 Turin, Italy
d
Università degli Studi di Messina, Dipartimento di Ingegneria Civile, Informatica, Edile, Ambientale e Matematica Applicata, 98122 Messina, Italy
ARTICLE INFO
Keywords:
Artificial accelerograms
Non-stationary random processes
Nonlinear dynamic analysis
Incremental dynamic analysis
Fragility curves
Reinforced concrete structures
ABSTRACT
Artificial and natural records are commonly employed by researches and practitioners to perform refined seismic
assessments of structures. The techniques for the generation of artificial records and their effectiveness in
producing signals which are significantly representative of real earthquakes are still debated as well as results of
the consequent seismic assessment to expect from their application. The paper presents an in-depth comparative
study highlighting the effect of employing different typologies of artificial ground motion records on seismic
assessment results, especially addressing seismic fragility curves. Three sets of 50 stationary, nonstationary
evenly modulated and fully nonstationary accelerograms are generated based on design spectrum compatibility
criteria. Standard nonlinear time history analyses of 4 reference structural models of reinforced concrete (RC)
structures having different degree of complexity are firstly carried out monitoring results in terms significant
engineering seismic demand parameters. So far, incremental dynamic analysis (IDA) is used to derive fragility
curves. Peak ground acceleration and spectral acceleration are used as possible intensity measures in order to
compare results of seismic fragility assessment. The combination of structural irregularity, severe damage and
input typology is finally analyzed and discussed in order to assess the degree of dependence of fragility as-
sessments on the typology of signal adopted.
1. Introduction
Nonlinear dynamic analysis is nowadays increasingly employed as
the benchmark for seismic assessment of new and existing construc-
tions, in particular when the quantification of the actual seismic de-
mand becomes of crucial importance. In this context the selection of
ground motions still constitutes a widely debated issue, mainly focusing
on advantages and disadvantages associated with the choice of natural
or artificial records. On the one hand, artificial records allow efficiently
matching of criteria for spectrum compatibility and are easy to be
generated. However, standard artificial generation methods provide
signals which, differently from natural records, are stationary in am-
plitude and frequency. On the other hand, the use of natural ground
motions records needs first a large data-set to make proper selections.
Moreover scaling of signals is generally necessary to match spectrum
compatibility conditions. To date, technical codes (e.g. Eurocode 8 [1],
and Italian NTC 2008 [2]) do not provide specifications about the
strategies to follow for the generation of artificial records, entrusting
the reliability of the selection to the spectrum compatibility criteria.
However, they imply the stationarity of artificial accelerograms at least
for a given duration, leaving uncertain the possibility to use or not
signals generated from nonstationary processes.
Several methods have been proposed in the literature in order to
generate spectrum compatible artificial accelerograms [e.g. 3,4,5,6]
also based on the use of a spectrum compatible power spectral density
function (PSD). Response spectra and PSD have in fact a strong re-
lationship as highlighted by Vanmarcke and Gasparini [7]. Based on
this relationship, a number of procedures (e.g [8–12]) are available in
the literature for determining, first, the spectrum compatible PSD and
then spectrum compatible signals. The generation of spectrum compa-
tible accelerograms filtered by samples of stationary random processes
is widely faced in the literature (Shinozuka [13], Barenberg [14],
Cacciola et al. [15]). Shinozuka's method provides that samples of
spectrum compatible signals can be simulated through the super-
position of harmonics with a random phase. In the approach followed
by Barenberg [14] a single spectrum compatible accelerogram is
http://dx.doi.org/10.1016/j.soildyn.2017.09.019
Received 1 May 2017; Received in revised form 31 August 2017; Accepted 23 September 2017
⁎
Corresponding author.
E-mail address: fabio.ditrapani@polito.it (F. Di Trapani).
Soil Dynamics and Earthquake Engineering 103 (2017) 105–117
0267-7261/ © 2017 Elsevier Ltd. All rights reserved.
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