Croce,
P.
, and
Holicky,
M.
, 2015, Operational Methods for the Assessment and Management of Aging Infrastructure, TEP, Pisa, Italy.

Diamantidis,
D.
, and
Holicky,
M.
, 2012, “
Innovative Methods for the Assessment of Existing Structures,” Klokner Institute, Czech Technical University, Prague, Czechia.

Huang,
Q.
,
Gardoni,
P.
, and
Hurlebaus,
S.
, 2015, “
Adaptive Reliability Analysis of Reinforced Concrete Bridges Subject to Seismic Loading Using Nondestructive Testing,” ASCE-ASME J. Risk Uncertainty Eng. Syst., Part A,
1(4).

Sykora,
M.
,
Markova,
J.
,
Holicky,
M.
,
Jung,
K.
,
Thiis,
T.
,
Flo,
I. A.
, and
Kvaal,
K.
, 2010, “
Structural Assessment of Industrial Heritage Buildings,” Klokner Institute, Czech Technical University, Prague, Czechia.

Der Kiureghian, A., 1994, “
Structural Reliability Methods for Seismic Safety Assessment,” Earthquake Engineering, Tenth World Conference 1994, Balkema, Rotterdam, The Netherlands, pp. 6519–6533.

Ditlevsen,
O.
, and
Madsen,
H. O.
, 1996, Structural Reliability Methods,
Wiley,
Chichester, UK.

Melchers,
R. E.
, 1999, Structural Reliability Analysis and Prediction,
Wiley,
Chichester, UK.

Melchers,
R. E.
, and
Hough,
R.
, 2007, Modeling Complex Engineering,
ASCE,
Reston, VA.

Lemaire,
M.
, 2009, Structural Reliability,
Wiley,
Hoboken, NJ, and ISTE, London.

Faravelli,
L.
, 1989, “
Response-Surface Approach for Reliability Analysis,” J. Eng. Mech.,
115(12), pp. 2763–2781.

[CrossRef]
Sudret,
B.
, 2007, “
Uncertainty Propagation and Sensitivity Analysis in Mechanical Models: Contributions to Structural Reliability and Stochastic Spectral Methods,” Rapport d'activitée scientifique présenté en vue de l'obtention de l'Habilitation à Diriger des Recherches, Blaise Pascal University–Clermont II, Clermont-Ferrand, France, Report No. HDR 239.

Çatbaş,
N. F.
,
Kijewski-Correa,
T.
, and
Aktan,
A. E.
, 2013, Structural Identification of Constructed Systems,
ASCE,
Reston, VA.

Ang,
H.-S.
, and
Tang,
W. H.
, 2007, Probability Concepts in Engineering: Emphasis on Applications to Civil and Environmental Engineering, Vol.
1, 2nd ed.,
Wiley,
Hoboken, NJ.

Marsili,
F.
,
Croce,
P.
,
Klawonn,
F.
, and
Landi,
F.
, 2016, “
A Bayesian Network for the Definition of Probability Models for Compressive Strength of Concrete Homogeneous Population,” 14th International Probabilistic Workshop, Ghent, Belgium, pp. 269–283.

Beconcini,
M. L.
,
Croce,
P.
,
Marsili,
F.
,
Muzzi,
M.
, and
Rosso,
E.
, 2016, “
Probabilistic Reliability Assessment of a Heritage Structure Under Horizontal Loads,” Probab. Eng. Mech.,
45(7), pp. 198–211.

[CrossRef]
Kolios,
A.
,
Quinio,
A.
,
Antoniadis,
A.
, and
Brennan,
F.
, 2010, “
An Approach to Stochastic Expansion for the Reliability Assessment of Complex Structures,” 8th International Probabilistic Workshop, Szczecin, Poland, pp. 223–232.

Sudret,
B.
, 2012, “
Meta-Models for Structural Reliability and Uncertainty Quantification,” Fifth Asian-Pacific Symposium on Structural Reliability and Its Applications (5APSSRA), Paper No. 321.

Der Kiureghian,
A.
, and
Ditlevsen,
O.
, 2009, “
Aleatory or Epistemic? Does It Matter?” Struct. Saf.,
31(2), pp. 105–112.

[CrossRef]
Giannini,
R.
,
Sguerri,
L.
,
Paolacci,
F.
, and
Alessandri,
S.
, 2014, “
Assessment of Concrete Strength Combining Direct and NDT Measures Via Bayesian Inference,” Eng. Struct.,
64(4), pp. 68–77.

[CrossRef]
Pereira,
N.
, and
Romão,
X.
, 2016, “
Assessment of the Concrete Strength in Existing Buildings Using a Finite Population Approach,” Constr. Build. Mater.,
110(5), pp. 106–116.

[CrossRef]
Ghanem,
R.
, and
Spanos,
P.
, 1991, Stochastic Finite Elements: A Spectral Approach,
Springer-Verlag,
New York.

Stefanou,
G.
, 2009, “
The Stochastic Finite Element Method: Past, Present and Future,” Comput. Methods Appl. Mech. Eng.,
198(9–12), pp. 1031–1051.

[CrossRef]
Matthies,
H. G.
, 2007, “
Uncertainty Quantification With Stochastic Finite Elements,” Encyclopedia of Computational Mechanics, Vol. 1, E. Stein, R. de Borst, and T. J. R. Hughes, eds., Wiley, Chichester, New York, Chap. 27.

Teughels,
A.
, and
De Roeck,
G.
, 2005, “
Damage Detection and Parameter Identification by Finite Element Model Updating,” Arch. Comput. Methods Eng.,
12(2), pp. 123–164.

[CrossRef]
Marwala,
T.
, 2010, *Finite-Element-Model Updating Using Computational Intelligence Techniques*, Springer-Verlag, London.

Reich,
G. W.
, and
Park,
K. C.
, 2001, “
A Theory for Strain-Based Structural System Identification,” ASME J. Appl. Mech.,
68(4), pp. 521–527.

[CrossRef]
Friswell,
M.
, and
Mottershead,
J.
, 1995, Finite Element Model Updating in Structural Dynamics,
Kluwer Academic Publishers,
Dordrecht, The Netherlands.

Schlune,
H.
,
Plos,
M.
, and
Gylltoft,
K.
, 2009, “
Improved Bridge Evaluation Through Finite Element Model Updating Using Static and Dynamic Measurements,” Eng. Struct.,
31(7), pp. 1477–1485.

Yao,
C. R.
, and
Li,
Y. D.
, 2008, “
Updating of Cable-Stayed Bridges Model Based on Static and Dynamic Test Data,” J. China Railw. Soc.,
30(3), pp. 65–70.

Zong,
Z. H.
, and
Xia,
Z. H.
, 2008, “
Finite Element Model Updating Method of Bridge Combined Modal Flexibility and Static Displacement,” China J. Highw. Transp.,
21(94), pp. 43–49.

Simoen,
E.
,
De Roeck,
G.
, and
Lombaert,
G.
, 2015, “
Dealing With Uncertainty in Model Updating for Damage Assessment: A Review,” Mech. Syst. Signal Process.,
56–57(5), pp. 123–149.

[CrossRef]
Beck,
J.
, and
Katafygiotis,
L.
, 1998, “
Updating Models and Their Uncertainties—I: Bayesian Statistical Framework,” ASCE J. Eng. Mech.,
124(4), pp. 455–461.

[CrossRef]
Katafygiotis,
L.
, and
Beck,
J.
, 1998, “
Updating Models and Their Uncertainties—II: Model Identifiability,” ASCE J. Eng. Mech.,
124(4), pp. 463–467.

[CrossRef]
Tarantola,
A.
, 2005, Inverse Problem Theory and Methods for Model Parameter Estimation,
SIAM,
Philadelphia, PA.

Box,
G.
, and
Tiao,
G.
, 1973, Bayesian Inference in Statistical Analysis,
Addison-Wesley,
Reading, MA.

Ka Veng,
Y.
, 2010, Bayesian Methods for Structural Dynamics and Civil Engineering,
Wiley,
Singapore.

Tiernay,
L.
, 1994, “
Markov Chains for Exploring Posterior Distribution,” Ann. Stat.,
22(4), pp. 1701–1728.

[CrossRef]
Kalman,
R.
, and
Bucy,
R.
, 1961, “
New Results in the Linear Prediction and Filter Theory,” ASME J. Basic Eng.,
83(1), pp. 85–108.

[CrossRef]
Evensen,
G.
, 2009, Data Assimilation, The Ensemble Kalman Filter,
Springer-Verlag,
Berlin.

Bertsekas,
D. P.
, and
Tsitsiklis,
J. N.
, 2000, Introduction to Probability (Lecture Notes),
Athena Scientific,
Belmont, MA, MIT Course 6.041–6.431.

Ernst,
O. G.
,
Sprungk,
B.
, and
Starkloff,
H.-J.
, 2014, “
Bayesian Inverse Problems and Kalman Filters,” Extraction of Quantifiable Information From Complex Systems (Lecture Notes in Computational Science and Engineering),
Springer, Switzerland, pp. 133–159.

Matthies,
H. G.
,
Zander,
E. K.
,
Rosic,
B. V.
,
Litvinenko,
A.
, and
Pajonk,
O.
, 2015, “
Inverse Problems in a Bayesian Setting, Inst. of Scientific Computing,” T.U. Braunschweig, Braunschweig, Germany.

Zhao,
Y.-G.
, and
Ono,
T.
, 1999, “
A General Procedure for First/Second-Order Reliability Method (FORM/SORM),” Struct. Saf.,
21(2), pp. 95–112.

Xiu,
D.
, 2010, Numerical Methods for Stochastic Computations,
Princeton University Press,
Princeton, NJ.

Rosic,
B.
,
Sykora,
J.
,
Pajonk,
O.
,
Kucerova,
A.
, and
Matthies,
H. G.
, 2014, “
Comparison of Numerical Approaches to Bayesian Updating,” T.U. Braunschweig, Braunschweig, Germany, Report No. 10.

Zander,
E. K.
, 2015, “
Nonlinear Minimum Mean Square Error Estimation,” Institute of Scientific Computing, T.U. Braunschweig, Braunschweig, Germany, Internal Report.

Marsili,
F.
,
Friedman,
N.
,
Croce,
P.
,
Formichi,
P.
, and
Landi,
F.
, 2016, “
On Bayesian Identification Methods for the Analysis of Existing Structures,” 19th IABSE Congress, Stockholm, Sweden, Sept. 21–23, pp. 194–201.

Belluzzi,
O.
, 1961, Scienza Delle Costruzioni, Vol.
III,
Zanichelli Bologna,
Italy.

Breysse,
D.
, 2012, “
Non-Destructive Evaluation of Concrete Strength: An Historical Review and a New Perspective by Combining NDT Methods,” Constr. Build. Mater.,
33(8), pp. 139–163.

[CrossRef]
Huang,
Q.
, 2010, “
Adaptive Reliability Analysis of Reinforced Concrete Bridges Using Nondestructive Testing,” Ph.D. dissertation, Texas A&M University, College Station, TX.

Beconcini,
M. L.
, and
Formichi,
P.
, 2003, “
Resistenza del calcestruzzo, misure sclerometriche e di velocità di propagazione degli ultrasuoni in strutture esistenti: risultati di una campagna di indagini,” 10th Congresso Nazionale dell'AIPnD, Ravenna, Italy, pp. 372–380 (in Italian).

CEN, 2002, “
Eurcode Basis of Structural Design,” CEN, Brussels, Belgium, Standard No. EN1990:2002.

Computers and Structures, 2009, “
SAP2000: Static and Dynamic Finite Element of Structures (Version 14),” Computers and Structures, Berkeley, CA.

Neville,
A. M.
, 2004, Properties of Concrete Fourth and Final Edition Standards Updated to 2002,
Pearson Education Limited,
Essex, UK.

Lu,
X.
,
Sun,
Q.
,
Feng,
W.
, and
Tian,
J.
, 2013, “
Evaluation of Dynamic Modulus of Elasticity of Concrete Using Impact-Echo Method,” Constr. Build. Mater.,
47(10), pp. 231–239.

[CrossRef]
Jurowskia,
K.
, and
Grzeszczyka,
S.
, 2015, “
The Influence of Concrete Composition on Young's Modulus,” 7th Scientific-Technical Conference Material Problems in Civil Engineering (MATBUD’2015), pp. 584–591.

Yıldırım,
H.
, and
Sengul,
O.
, 2011, “
Modulus of Elasticity of Substandard and Normal Concretes,” Constr. Build. Mater.,
25(4), pp. 1645–1652.

[CrossRef]
Zhu,
B. F.
, 2009, “
On the Dynamic Modulus of Elasticity of Concrete in Anti-Earthquake Design of Concrete Dams,” Water Res. Hydropower Eng.,
40(11), pp. 19–22.

HBM, 2000, “
Inductive Displacement Transducer HBM W20: Mounting Instructions,” Hottinger Baldwin Measurements, Darmstadt, Germany.

HBM, 2000, “
Accelerometer HBM B/200: Mounting Instructions,” Hottinger Baldwin Measurements, Darmstadt, Germany.

Zander,
E.
, 2016, “
A Matlab/Octave Toolbox for Stochastic Galerkin Methods,” Github, San Francisco, CA.

Marsili,
F.
,
Friedman,
N.
, and
Croce,
P.
, 2015, “
Parameter Identification Via gPCE-Based Stochastic Inverse Methods for Reliability Assessment of Existing Structures,” International Probabilistic Workshop 2015, Liverpool, pp. 112–123.

Housner,
G. W.
, 1957, “
Dynamic Pressures on Accelerated Fluid Containers,” Bull. Seismol. Soc. Am.,
47(1), pp. 15–35.

Davidovici,
V.
, and
Haddadi,
A.
, 1982, “
Calcul pratique de réservoirs en zone sismique,” Ann. Inst. Tech. Batim. Trav. Publics,
409.

CEN, 2006, “
EN 1998-4: Eurocode 8: Earthquake Resistant Design of Structures—Part 4: Tanks, Silos and Pipelines,” CEN, Brussels, Belgium, Standard No. EN 1998-4: Eurocode 8.

CEN, 2004, “
EN 1998-1: Eurocode 8: Design of Structures for Earthquake Resistance—Part 1: General Rules, Seismic Actions and Rules for Buildings,” CEN Brussels, Belgium, Standard EN 1998-1: Eurocode 8.

Ellingwood,
B.
, 1977, “
Statistical Analysis of RC Beam–Column Interaction,” J. Struct. Div.,
ST7(103), pp. 1377–1388.

Neuenhofer,
A.
, and
Zilch,
K.
, 1993, “
Probabilistic Validation of Eurocode 2 Partial Safety Factors Using Full Distribution Reliability Methods,” 5th International Federation for Information Processing (IFIP) WG 7.5 Conference, Reliability and Optimization of Structural Systems, Takamatsu, Japan, Mar. 16–24.

Floris,
C.
, and
Mazzucchelli,
A.
, 1991, “
Reliability Assessment of RC Column Under Stochastic Stress,” ASCE J. Struct. Eng.,
117(11), pp. 3274–3292.

[CrossRef]
Frangopol,
D. M.
,
Ide,
Y.
,
Spacone,
E.
, and
Iwaki,
I.
, 1996, “
A New Look at Reliability of Reinforced Concrete Columns,” Struct. Saf.,
18(2/3), pp. 123–150.

[CrossRef]
Stewart,
M. G.
, and
Attard,
M. M.
, 1999, “
Reliability and Model Accuracy for High-Strength Concrete Column Design,” J. Struct. Eng.,
125(3), pp. 167–177.

Jiang,
Y.
, and
Yang,
W.
, 2013, “
An Approach Based on Theorem of Total Probability for Reliability Analysis of RC Columns With Random Eccentricity,” Struct. Saf.,
41(3), pp. 37–46.

[CrossRef]
Ghersi,
A.
, and
Muratore,
M.
, 2004, “
Verifica e progetto allo stato limite ultimo di pilastri in c.a. a sezione rettangolare: un metodo semplificato,” Ing. Sismica,
XXI(3), pp. 41–49 (in Italian).

Verderame,
G. M.
,
Stella,
A.
, and
Cosenza,
E.
, 2001, “
Le proprietà meccaniche degli acciai impiegati nelle strutture in c.a. realizzate negli anni ’60,” X Congresso Nazionale L'ingegneria Sismica, Potenza-Matera, Italy, Sept. 9–13, pp. 203–216 (in Italian).

Ellingwood,
B.
, 1980, “
Development of a Probability Based Load Criterion for American National Standard A58: Building Code Requirements for Minimum Design Loads in Buildings and Other Structures,” Vol.
13, National Bureau of Standards Washington, DC, Special Publications 577.

Holicky,
M.
, 2014, Introduction to Probability and Statistics for Engineers,
Springer-Verlag,
Berlin, Heidelberg.

JCSS, 2011, “
JCSS Probabilistic Model Code,”
Joint Committee on Structural Safety,
DTU, Lyngby, Denmark.

Gardoni,
P.
, 2002, “
Probabilistic Models and Fragility Estimates for Structural Components and Systems,” Ph.D. dissertation, University of California, Berkeley, Berkeley, CA.

Choi,
E.
,
Des Roches,
R.
, and
Nielsen,
B.
, 2004, “
Seismic Fragility of Typical Bridges in Moderate Seismic Zones,” Eng. Struct.,
26(2), pp. 187–199.

[CrossRef]
Gardoni,
P.
,
Mosalam,
K. M.
, and
Der Kiureghian,
A.
, 2003, “
Probabilistic Seismic Demand Models and Fragility Estimates for RC Bridges,” J. Earthquake Eng.,
7(1), pp. 79–106.

Pejovic,
J.
, and
Jankovic,
S.
, 2015, “
Seismic Fragility Assessment for Reinforced Concrete High-Rise Buildings in Southern Euro-Mediterranean Zone,” Bull. Earthquake Eng.,
14(1), pp. 185–212.

[CrossRef]
Kafali,
C.
, and
Grigoriu,
M.
, 2007, “
Seismic Fragility Analysis: Application to Simple Linear and Non Linear Systems,” Earthquake Eng. Struct. Dyn.,
36(13), pp. 1885–1900.

[CrossRef]
Karim,
K. R.
, and
Yamazaki,
F.
, 2001, “
Effect of Earthquake Ground Motions on Fragility Curves of Highway Bridge Piers Based on Numerical Simulation,” Earthquake Eng. Struct. Dyn.,
30(12), pp. 1839–1856.

[CrossRef]
Hwang,
H.
,
Jernigan,
J. B.
, and
Lin,
Y.
, 2000, “
Evaluation of Seismic Damage to Memphis Bridges and Highway Systems,” ASCE J. Bridge Eng.,
5(4), pp. 322–330.

[CrossRef]
Shinozuka,
M.
,
Feng,
M. Q.
,
Kim,
H.
, and
Kim,
S.
, 2000, “
Nonlinear Static Procedure for Fragility Curve Development,” ASCE J. Eng. Mech.,
126(12), pp. 1287–1295.

[CrossRef]
Bourinet,
J.-M.
,
Mattrand,
C.
, and
Dubourg,
V.
, 2009, “
A Review of Recent Features and Improvements Added to FERUM Software,” 10th International Conference on Structural Safety and Reliability (ICOSSAR'09), Osaka, Japan, Paper No. 205.

ISO, 2001, “
Basis for Design of Structures, Assessment of Existing Structures,” International Organization for Standardization, Geneva, Switzerland, Standard No. ISO13822.