Abstract
This paper presents a stochastic analysis of expressions linking the reinforced concrete (RC) buildings maximum displacements to their natural period and the epicentral distances. Where, low- and medium-rise reinforced concrete buildings, are tested under the effect of records collected during the Boumerdes earthquake (Algeria, May 21st, 2003) at different epicentral distances. First, the expressions linking building maximum displacement and interstory drift to the building natural period and epicentral distance are derived. Then, using Monte Carlo simulation, the effect of the uncertainty of the chosen parameters on the confidence intervals of the lateral displacement and interstory drift statistics is studied, where the natural period and the epicentral distance are considered as random variables with a log-normal distribution. The findings denote that the derived expressions are less influenced by fundamental period uncertainty than the that of the epicentral distance. A good accuracy in the established formulations is reflected by the small width of the confidence intervals of the both analyzed responses.
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References
Badaoui, M. (2008). «Influence de l’hétérogénéité géologique et mécanique sur le comportement des sols multicouches » , Thèse de Doctorat. Alger: E.N.P.
Badaoui, M., Berrah, M. K., Mébarki, A. (2010). Depth to bedrock randomness effect on the design spectra in the city of Algiers (Algeria). Engineering Structures, 32(1), 590–599.
Batou, A. (2008). “Identification des forces stochastiques appliquées à un système dynamique non linéaire en utilisant un modèle numérique incertain et des réponses expérimentales. Thèse de doctorat: Université Marne la Valée.
Bommer, J. J., & Abrahamson, N. A. (2006). Why do modern probabilistic seismic-hazard analyses often lead to increased hazard estimates? Bulletin of the Seismological Society of America, 96(6), 1967–1977.
CGS. (2003). RPA99. Algérie: Centre National de Génie Parasismique.
Chopra, A. K., & Goel, R. K. (2000). Building period formulas for estimating seismic displacements. EERI Earthquake Spectra, 16(2), 533–536.
Davenport, A. G., & Hill-Carroll, P. (1986). Damping in tall buildings: its variability and treatment in design. In Building motion in wind, Proc. ASCE Convention, Seattle, WA.
Dorbani, S. (2014). Etude déterministe et analyse probabiliste des réponses de structures en BA à un séisme donné». USTHB: Thèse de doctorat.
Dorbani, S., Badaoui, M., & Benouar, D. (2013). Structural seismic response versus epicentral distance and natural period: the case study of Boumerdes (Algeria) earthquake. Structural Engineering and Mechanics, 48(3), 2013.
Dorbani, S., Badaoui, M., Benouar, D. (2015). Impact of natural period and epicentral distance on storey lateral displacements. World Academy of Science, Engineering and Technology. In: International Journal of Civil, Environmental, Structural, Construction and Architectural Engineering Vol: 9, No: 8.
Gidaris, I., Taflanidis, A. (2012). Design of fluid viscous dampers for optimal life cycle cost. In: World conference on earthquake engineering, Lisbon, Portugal
Gidaris, I., Taflanidis, A., Mavroeidis, G.P. (2014). Multiobjective formulation for the life-cycle cost based design of fluid viscous damper. In: E. Caetano, P. Ribeiro, G. Müller (Eds.), Proceedings of the 9th International Conference on Structural Dynamics, EURODYN 2014 Porto, Portugal, Cunha, ISSN: 2311-9020; ISBN: 978-972-752-165-4.
Gilles, D., McClure, G., & Chouinard, L. E. (2011). Uncertainty in fundamental period estimates leads to inaccurate design seismic loads. Revue Canadienne de Génie Civil, 38(8), 870–880. https://doi.org/10.1139/l11-055.
Haviland, R. (1976). A study of uncertainties in the fundamental translational periods and damping values for real buildings. Cambridge: MIT Reports.
Hong, H. P., & Jiang, J. (2004). Ratio between inelastic and elastic responses with uncertain structural properties. Canadian Journal of Civil Engineering, 31(4), 703–711.
Laouami, N., Slimani, A., Bouhadad, Y., Chatelain, J. L., & Nour, A. (2006). Evidence for fault-related directionality and localized site effects from strong motion recordings of the 2003 Boumerdes (Algeria) earthquake: consequences on damage distribution and the Algerian seismic code. Soil Dynamics and Earthquake Engineering, 26(2006), 991–1003.
Lindeburg, M. R., & MacMullin, K. M. (2014). Seismic design of building structures: a professional’s introduction to earthquake forces and design details (11th ed.). Hyderabad: Professional Publications. (SEIS11P).
Mahmoudi, M. (2009). Determining the maximum lateral displacement due to sever earthquakes without using nonlinear analysis. International Journal of Civil, Environmental, Structural, Construction and Architectural Engineering, World Academy of Science, Engineering and Technology, 26(2), 134–139.
Mehanny, S. S. F. (2012). Are theoretically calculated periods of vibration for skeletal structures error-free? Earthquakes and Structures, 3(1), 17–35.
Pan American Health Organization (PAHO). (2000). Principles of disaster mitigation in health facilities. Washington: PAHO.
Papadrakakis, M., Fragiadakis, M., & Lagaros, N. D. (2013). Computational methods in earthquake engineering (2nd ed.). Berlin: Springer.
Rahman, A., Masrur, A. A., & Mamun, M. R. (2012). Drift analysis due to earthquake load on tall structures. Journal of Civil Engineering and Construction Technology, 4(5), 154–158.
Searer, G. R., Freeman, S. A. (2004). Design drift requirements for long-period structures. In: 13th world conference on Earthquake Engineering Vancouver, B. C., Canada August 1–6, 2004 Paper No. 3292.
Thacker, B.H. (1996). Probabilistic finite element methods for transient analysis of nonlinear continua. PhD. Thesis, University of Texas, Austin.
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Dorbani, S., Badaoui, M. & Benouar, D. Effect of the uncertainty on the formulated seismic behavior of RC buildings to a given earthquake. Asian J Civ Eng 19, 309–317 (2018). https://doi.org/10.1007/s42107-018-0029-0
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DOI: https://doi.org/10.1007/s42107-018-0029-0