An effective two-stage optimization method on aerodynamic measures to mitigate wind loads considering uncertainties in wind direction and velocity

Suaris, 2010, Effect of roof-edge parapets on mitigating extreme roof suctions, J Wind Eng Ind Aerod, 98, 483, 10.1016/j.jweia.2010.03.001 Huang, 2014, Aerodynamic devices to mitigate rooftop suctions on a gable roof building, J Wind Eng Ind Aerod, 135, 90, 10.1016/j.jweia.2014.10.015 Aly, 2016, Aerodynamic mitigation of wind-induced uplift forces on low-rise buildings: a comparative study, J Build Eng, 5, 267, 10.1016/j.jobe.2016.01.007 Aly, 2021, High Reynolds number aerodynamic testing of a roof with parapet, Eng Struct, 234, 10.1016/j.engstruct.2021.112006 Bitsuamlak, 2013, Aerodynamic mitigation of roof and wall corner suctions using simple architectural elements, J Eng Mech, 139, 396, 10.1061/(ASCE)EM.1943-7889.0000505 Li, 2018, Wind pressure mitigation on gable roofs for low-rise buildings using spoilers, ASCE J Struct Eng, 144, 04018104, 10.1061/(ASCE)ST.1943-541X.0002103 Cui, 2017, Review: Multi-objective optimization methods and application in energy saving, Energy, 125, 681, 10.1016/j.energy.2017.02.174 Rigato, 2001, Database-assisted design, standardization, and wind direction effects, J Struct Eng, 127, 855, 10.1061/(ASCE)0733-9445(2001)127:8(855) Jia, 2011, Wind and structural modelling for an accurate fatigue life assessment of tubular structures, Eng Struct, 33, 477, 10.1016/j.engstruct.2010.11.004 AIJ., 2004, AIJ recommendations for loads on buildings, Japan: AIJ ASCE/SEI 7-16. Minimum design loads and associated criteria for buildings and other structures. Reston, Virginia: American Society of Civil Engineers; 2017. https://doi.org/10.1061/9780784412916. Zhang, 2015, Assessing probabilistic wind load effects via a multivariate extreme wind speed model: a unified framework to consider directionality and uncertainty, J Wind Eng Ind Aerod, 147, 30, 10.1016/j.jweia.2015.09.002 Han, 2018, Non-parametric models for joint probabilistic distributions of wind speed and direction data, Renew Energy, 126, 1032, 10.1016/j.renene.2018.04.026 Cook, 2019, The OEN mixture model for the joint distribution of wind speed and direction: a globally applicable model with physical justification, Energy Conv Manag, 191, 141, 10.1016/j.enconman.2019.04.015 Zhang, 2020, Joint distribution of wind speed, wind direction, and air temperature actions on long-span bridges derived via trivariate metaelliptical and plackett copulas, J Bridge Eng, 25, 04020069, 10.1061/(ASCE)BE.1943-5592.0001608 Huang, 2012, Optimal performance-based design of wind sensitive tall buildings considering uncertainties, Comput Struct, 98–99, 7, 10.1016/j.compstruc.2012.01.012 Fu, 2017, Design optimization on high-rise buildings considering occupant comfort reliability and joint distribution of wind speed and direction, Eng Struct, 156, 460, 10.1016/j.engstruct.2017.11.041 Li, 2019, A reliability-based optimization method using sequential surrogate model and Monte Carlo simulation, Struct Multidisc Optim, 59, 439, 10.1007/s00158-018-2075-3 Beliakov, 2022, On random generation of supermodular capacities, IEEE Trans Fuzzy Syst, 30, 293, 10.1109/TFUZZ.2020.3036699 Jiang, 2018, Probability-interval hybrid uncertainty analysis for structures with both aleatory and epistemic uncertainties: a review, Struct Multidisc Optim, 57, 2485, 10.1007/s00158-017-1864-4 Du, 2009, Robust mechanism synthesis with random and interval variables, Mech Mach Theory, 44, 1321, 10.1016/j.mechmachtheory.2008.10.003 Deng, 2019, Performance-based Wind-resistant Optimization Design for Tall Building Structures, J Struct Eng, 145, 01019103, 10.1061/(ASCE)ST.1943-541X.0002383 Zhang, 2021, Hybrid learning algorithm of radial basis function networks for reliability analysis, IEEE Trans Reliab, 70, 887, 10.1109/TR.2020.3001232 Cheng, 2021, Robust optimization of engineering structures involving hybrid probabilistic and interval uncertainties, Struct Multidiscip Optim, 63, 1327, 10.1007/s00158-020-02762-6 Chen, 2014, Wind-induced response and universal equivalent static wind loads of single layer reticular dome shells, Int J Struct Stab Dyn, 14, 1450008, 10.1142/S0219455414500084 Cook, 1979, A novel working approach to the assessment of wind loads for equivalent static design, J Wind Eng Ind Aerod, 4, 149, 10.1016/0167-6105(79)90043-6 Chen, 2022, Peak wind pressures on roof claddings of regular railway stations, Eng Struct, 259, 10.1016/j.engstruct.2022.114178 Chen, 2010, Estimation of probabilistic extreme wind load effects: combination of aerodynamic and wind climate data, ASCE J Eng Mech, 136, 747, 10.1061/(ASCE)EM.1943-7889.0000118 Zang, 2002, Needs and opportunities for uncertainty-based multidisciplinary design methods for aerospace vehicles, NASA/TM-2002-211462 Langley Research Center Yao, 2011, Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles, Prog Aerosp Sci, 47, 450, 10.1016/j.paerosci.2011.05.001 Ding, 2018, A multi-fidelity shape optimization via surrogate modeling for civil structures, J Wind Eng Ind Aerod, 178, 49, 10.1016/j.jweia.2018.04.022 Qiu, 2022, Aerodynamic shape optimization of large-span coal sheds for wind-induced effect mitigation using surrogate models, Eng Struct, 253, 10.1016/j.engstruct.2021.113818 Ataei, 2015, Fragility surrogate models for coastal bridges in hurricane prone zones, Eng Struct, 103, 203, 10.1016/j.engstruct.2015.07.002 Yan, 2022, Multivariate structural seismic fragility analysis and comparative study based on moment estimation surrogate model and Gaussian copula function, Eng Struct, 262, 10.1016/j.engstruct.2022.114324 Deb, 2002, A fast and elitist multiobjective genetic algorithm: NSGA-II, IEEE Trans Evol Comput, 6, 182, 10.1109/4235.996017 Cook, 1982, Towards better estimation of extreme winds, J Wind Eng Ind Aerod, 9, 295, 10.1016/0167-6105(82)90021-6 Elshaer, 2017, Enhancing wind performance of tall buildings using corner aerodynamic optimization, Eng Struct, 136, 133, 10.1016/j.engstruct.2017.01.019 Fasshauer, 2007, On choosing “optimal” shape parameters for RBF approximation, Numer Algorithms, 45, 345, 10.1007/s11075-007-9072-8 Ishibuchi, 1989, Formulation and analysis of linear programming problem with interval coefficients, J JPN Ind Manag Assoc, 40, 320 Castillo, 2012, A review on the design and optimization of interval type-2 fuzzy controllers, Appl Soft Comput, 12, 1267, 10.1016/j.asoc.2011.12.010 Jiang, 2014, Non-probabilistic convex model process: a new method of time-variant uncertainty analysis and its application to structural dynamic reliability problems, Comput Meth Appl Mech Eng, 268, 656, 10.1016/j.cma.2013.10.016 Gong, 2018, A set-based genetic algorithm for interval many-objective optimization problems, IEEE Trans Evol Comput, 22, 47, 10.1109/TEVC.2016.2634625 Kopp, 2005, Wind effects of parapets on low buildings: Part 4. Mitigation of corner loads with alternative geometries, J Wind Eng Ind Aerod, 93, 873, 10.1016/j.jweia.2005.08.004 China Architecture and Building Press. Load code for the design of building structures. GB 50009. Beijing: China Architecture & Building Press. 2012. Kareem, 2003, Gust loading factor - past, present and future, J Wind Eng Ind Aerod, 91, 1301, 10.1016/j.jweia.2003.09.003 Deng, 2019, Performance-based wind-resistant optimization design for tall building structures, ASCE J Struct Eng, 145, 10.1061/(ASCE)ST.1943-541X.0002383 Zhang, 2018, Extreme wind speed distribution in a mixed wind climate, J Wind Eng Ind Aerod, 176, 239, 10.1016/j.jweia.2018.03.019 Xiao, 2006, Probability distributions of extreme wind speed and its occurrence interval, Eng Struct, 28, 1173, 10.1016/j.engstruct.2006.01.001