Abstract
The paper is devoted to the study of uncertainties when studying buildings under seismic loading. These uncertainties are related to the simplifications used when constructing the model (model uncertainties) and to the numerical data needed at the computation stage (data uncertainties). It has been shown in previous papers that nonparametric models are able, in the case of linear dynamics, to deal simultaneously with these two kinds of uncertainties. The paper presents an extension of this kind of model by taking into account a “mixed” approach for concrete frame structures, which uses a nonparametric model for the part of the structure which behaves linearly and a parametric approach for the parts of the structure (plastic hinges) which behave non-linearly. A numerical application is presented in the case of a residential building.
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References
Combescure D, Pegon P (2000) Application of the local-to-global approach to the study of infilled frame structures under seismic loading. Nucl Eng Des 196: 17–40
Desceliers C, Soize C, Cambier S (2004) Nonparametric-parametric model for random unicertainties in non-linear structural dynamics: application to earthquake engineering. Earthq Eng Struct Dyn 33(3): 315–327
Durand JF, Soize C, Gagliardini L (2008) Structural-acoustic modeling of automotive vehicles in presence of uncertainties and experimental identification and validation. J Acoust Soc Am 124(3): 1513–1525
EUROCODE 8 (2003) European committee for standardization design of structures for earthquake resistance. Part 3: strengthening and repair of buildings, Draft No. 3
Hamza S (2007) Analyse probabiliste de la vulnérabilité sismique des bâtiments existants: application aux structures en portiques en béton armé PhD Thesis
Ibrahim RA (1987) Structural dynamics with parameters uncertainties. Appl Mech Rev 40(3): 309–328
Jayne E (1957a) Information theory and statistical mechanics. Phys Rev 106(4): 620–630
Jayne E (1957b) Information theory and statistical mechanics. Phys Rev 108(2): 171–190
Kapur JN, Kesavan HK (1992) Entropy optimization principles with applications. Academic Press, New York
Pauley T, Priestley MJN (1992) Seismic design of concrete and masonry buildings. Wiley, New York
Pinto PE (2001) Reliability methods in earthquake engineering. Prog Struct Eng Mater 3(1): 76–85
Serfling R (1980) Approximation theorems of mathematical statistics. Wiley, New York
Shannon C (1948) A mathematical theory of communication. Bell Syst Technol J 27:379–423 and 623–659
Soize C (2001a) Maximum entropy approach for modeling random uncertainties in transient elastodynamics. J Acoust Soc Am 109(5): 1979–1996
Soize C (2001b) Nonlinear dynamical systems with nonparametric model of random uncertainties. Uncertainties Eng Mech 1(1): 1–38
Soize C (2005) Random matrix theory for modeling uncertainties in computational mechanics. Comput Methods Appl Mech Eng 194: 1333–1366
Soize C, Capiez-Lernout E, Ohayon R (2008) Probabilistic model identification of uncertainties in computational models for dynamical systems and experimental validation. AIAA J 46(11): 2955–2965
Takeda T, Sozen MA, Nielsen NN (1970) Reinforced concrete response to simulated earthquakes. ASCE J Struct Div 96(12): 2557–2573
Zienkiewicz OC, Taylor RL (1991) The finite element method, vol 2. McGraw-Hill, NY
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Desceliers, C., Bonnet, G., Hamza, S. et al. Mixed nonparametric–parametric probabilistic model for earthquake reliability of an inelastic reinforced concrete frame structure. Bull Earthquake Eng 8, 921–935 (2010). https://doi.org/10.1007/s10518-009-9166-x
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DOI: https://doi.org/10.1007/s10518-009-9166-x