Abstract
Performance-based design in earthquake engineering is a structural optimization problem that has, as the objective, the determination of design parameters for the minimization of total costs, while at the same time satisfying minimum reliability levels for the specified performance criteria. Total costs include those for construction and structural damage repairs, those associated with non-structural components and the social costs of economic losses, injuries and fatalities. This paper presents a general framework to approach this problem, using a numerical optimization strategy and incorporating the use of neural networks for the evaluation of dynamic responses and the reliability levels achieved for a given set of design parameters. The strategy is applied to an example of a three-story office building. The results show the importance of considering the social costs, and the optimum failure probabilities when minimum reliability constraints are not taken into account.
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References
Bertero VV (1997), “Performance-based Seismic Engineering: a Critical Review of Proposed Guidelines,” Seismic Design Methodologies for the Next Generation of Codes, Fajfar P and Krawinkler H (Eds.), AA Balkema, Rotterdam, 1–31.
Bertero VV and Zagajeski SW (1979), “Optimal Inelastic Design of Seismic-resistant Reinforced Concrete Framed Structures,” Nonlinear Design of Concrete Structures, CSCE-ASCE-ACI-CEB International Symposium, Ontario, Canada.
FEMA 356 (2000), “Prestandard and Commentary for the Seismic Rehabilitation of Buildings,” American Society of Civil Engineering (ASCE), Federal Emergency Management Agency, USA.
Filippou FC, D’Ambrisi A and Issa A (1992), “Nonlinear Static and Dynamic Analysis of Reinforced Concrete Subassemblages,” Earthquake Engineering Research Center, Report N° EERC 92-08, University of California, Berkeley.
Fragiadakis M, Lagaros ND and Papadrakakis M (2006), “Performance-based Multiobjective Optimum Design of Steel Structures Considering Life-cycle Cost,” Structural and Multidisciplinary Optimization, 32(1): 1–11.
Gencturk B (2012), “Life-cycle Cost Assessment of RC and ECC Frames Using Structural Optimization,” Earthquake Engineering & Structural Dynamics, 42 (1): 61–79.
Gencturk B and Elnashai AS (2012), “Life Cycle Cost Considerations in Seismic Design Optimization of Structures,” Structural Seismic Design Optimization and Earthquake Engineering: Formulations and Applications, Plevris V (ed), IGI Global, Chapter 1: 1–22.
Ghobarah A (2001), “Performance-based Design in Earthquake Engineering: State of Development,” Engineering Structures, 23(8): 878–884.
Hamburger R, Rojahn C, Moehle J, Bachman R, Comartin C and Whittaker A (2004), “The ATC-58 Project: Development of Next-generation Performancebased Earthquake Engineering Design Criteria for Buildings,” Proc. 13th World Conference on Earthquake Engineering, Vancouver, BC, Canada, Paper No. 1819.
Hurtado J (2004), Structural Reliability — Statistical Learning Perspectives, Lecture Notes in Applied and Computational Mechanics, 17, Springer Verlag.
INPRES (1995) “Microzonificación Sísmica del Gran Mendoza”, Publicación Técnica N° 19, Instituto Nacional de Prevención Sísmica, San Juan, Argentina.
INPRES-CIRSOC 103 Parte 1 (2008), “Reglamento Argentino Para Construcciones Sismorresistentes,” Instituto Nacional de Tecnología Industrial, Argentina.
Lagaros ND and Papadrakakis M (2007), “Seismic Design of RC Structures: A Critical Assessment in the Framework of Multi-objective Optimization,” Earthquake Engineering & Structural Dynamics, 36(12): 1623–1639.
Liu M, Burns SA and Wen YK (2006), “Genetic Algorithm Based Construction-conscious Mínimum Weight Design of Seismic Steel Moment-resisting Frames,” Journal of Structural Engineering, 132(1): 50–58.
Melchers RE (1987), Structural Reliability: Analysis and Prediction, Ed. Ellis Horwood Limited–Halsted Press: A Division of John Wiley & Sons.
Möller O (2001), “Metodología Para Evaluación de la Probabilidad de falla de Estructuras Sismorresistentes y Calibración de códigos,” Tesis de Doctorado en Ingeniería, Universidad Nacional de Rosario, Argentina.
Möller O, Ascheri JP, Foschi R and Rubinstein M (2012a), “Optimización Estructural para Costo Mínimo con Restricciones de Confiabilidad: Evaluación de Alternativas de Diseño Sísmico,” Mecánica Computacional, Vol. XXXI: 2527–2545.
Möller O and Foschi R (2003), “Reliability Evaluation in Seismic Design: a Response Surface Methodology,” Earthquake Spectra, 19(3): 579–603.
Möller O, Foschi R, Quiroz L and Rubinstein M (2009a), “Structural Optimization for Performance-based Design in Earthquake Engineering: Applications of Neural Networks,” Structural Safety, 31(6): 490–499.
Möller O, Foschi R, Rubinstein M and Quiroz L (2006), “Momento-curvatura de Secciones de Hormigón Armado Sismorresistentes Utilizando Redes Neuronales,” Mecánica Computacional,Vol. XXV: 2145–2162.
Möller O, Foschi R, Rubinstein M and Quiroz L (2009b), “Seismic Structural Reliability Using Different Nonlinear Dynamic Response Surface Approximations,” Structural Safety, 31(5): 432–442.
Möller O, Foschi R, Rubinstein M and Savino F (2010), “Optimización, Con Requisitos de Confiabilidad, A Partir del Diseño Preliminar de Pórticos Sismorresistentes,” Mecánica Computacional, Vol. XXIX: 1403–1421.
Möller O, Foschi R, Rubinstein M and Savino F (2012b), “Performance-based Seismic Design: a Searchbased Cost Optimization with Minimum Reliability Constraints,” Structural Seismic Design Optimization and Earthquake Engineering: Formulations and Applications, Plevris V (Ed), IGI Global, Chapter 2: 23–50.
Park YJ and Ang AH-S (1985), “Mechanistic Seismic Damage Model for Reinforced Concrete,” Journal of Structural Engineering, ASCE, 111(ST4): 722–739.
Paulay T and Priestley MJN (1992), Seismic Design of Reinforced Concrete and Masonry Buildings, John Wiley & Sons, Inc.
Pérez López JR (2005), “Contribución a Los Métodos de Optimización Basados en Procesos Naturales y su Aplicación a la Medida de Antenas en Campo Próximo,” URL http://www.tesisenred.net/TDR-0305107–180847.
Pezeshk S (1998), “Design of Framed Structures: An Integrated Non-linear Analysis and Optimal Mínimum Weight Design,” International Journal for Numerical Methods in Engineering, 41(3): 459–471.
SEAOC Vision 2000 Committee (1995), “Performance based Seismic Engineering of Buildings,” Structural Engineers Association of California, Sacramento, California, U.S.A.
Shinozuka M and Sato Y (1967), “Simulation of Nonstationary Random Processes,” Journal of Engineering Mechanics, ASCE, 93(1): 11–40.
Swisher JR, Hyden PD, Jacobson SH and Schruben LW (2000), “A Survey of Simulation Optimization Techniques and Procedures,” 2000 Winter Simulation Conference, Joines JA, Barton R, Kang K and Fishwick PA (Eds).
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Möller, O., Foschi, R.O., Ascheri, J.P. et al. Optimization for performance-based design under seismic demands, including social costs. Earthq. Eng. Eng. Vib. 14, 315–328 (2015). https://doi.org/10.1007/s11803-015-0025-2
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DOI: https://doi.org/10.1007/s11803-015-0025-2