Abstract
In the present study, modified Ibarra, Medina and Krawinkler moment-rotation parameters are used for modeling the uncertainties in concrete moment frame structures. Correlations of model parameters in a component and between two structural components were considered to analyze these uncertainties. In the first step, the structural collapse responses were obtained by producing 281 samples for the uncertainties using the Latin hypercube sampling (LHS) method, considering the probability distribution of the uncertainties and performing incremental dynamic analyses. In the second step, 281 new samples were produced for the uncertainties by the central composite design (CCD) method without considering the probability distribution of the uncertainties and calculating the structural collapse responses. Then, using the response surface method (RSM) and artificial neural network (ANN) for the two simulation modes, structural collapse responses were predicted. The results indicated that the collapse responses at levels of 0 to 100% obtained from the two simulations have a high correlation coefficient of 98%. This suggests that random variables can be simulated without considering the probability distribution of uncertainties, by performing uncertainty analysis to determine structural collapse responses.
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References
Anderson JA (1995), An Introduction to Neural Networks, MIT press.
Baker J and Cornell C (2006), “Vector-Valued Ground Motion Intensity Measures for Probabilistic Seismic Demand Analysis,” Report No. 150, Pacific Earthquake Engineering Research Center, College of Engineering, University of California, Berkeley.
Beheshti-Aval SB, Khojastehfar E, Noori M and Zolfaghari M (2015), “A Comprehensive Collapse Fragility Assessment of Moment Resisting Steel Frames Considering Various Sources of Uncertainties,” Canadian Journal of Civil Engineering, 43(2): 118–131.
Borekci M, Kirçil M and Ekiz I (2014), “Collapse Period of Degrading SDOF Systems,” Earthquake Engineering and Engineering Vibration, 13(4): 681–694.
Bucher C and Most T (2008), “A Comparison of Approximate Response Functions in Structural Reliability Analysis,” Probabilistic Engineering Mechanics, 23(2–3): 154–163.
Buratti N, Ferracuti B and Savoia M (2010), “Response Surface with Random Factors for Seismic Fragility of Reinforced Concrete Frames,” Structural Safety, 32(1): 42–51.
Der Kiureghian A and Ditlevsen O (2009), “Aleatory or epistemic? Does it matter?” Structural Safety, 31(2): 105–112.
Fattahi F and Gholizadeh S (2019), “Seismic Fragility Assessment of Optimally Designed Steel Moment Frames,” Engineering Structures, 179: 37–51.
Federal Emergency Management Agency (2000), FEMA 350, Recommended Seismic Design Criteria for New Steel Moment-Frame Buildings, SAC joint Venture, Washington, DC.
Federal Emergency Management Agency (2009), FEMA P-695, Quantification of Buildings Seismic Performance Factors, Washington, DC.
Gholizadeh S and Aligholizadeh V (2019), “Reliability-Based Optimum Seismic Design of RC Frames by a Metamodel and Metaheuristics,” The Structural Design of Tall and Special Buildings, 28(1): e1552 (19 Pages).
Gholizadeh S and Mohammadi M (2016), “Reliability-Based Seismic Optimization of Steel Frames by Metaheuristics and Neural Networks,” ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering, 3(1): 04016013 (11 Pages).
Gomes HM and Awruch AM (2004), “Comparison of Response Surface and Neural Network with Other Methods for Structural Reliability Analysis,” Structural Safety, 26(1): 49–67.
Haselton CB and Deierlein GG (2008), “Assessing Seismic Collapse Safety of Modern Reinforced Concrete Moment-Frame Buildings,” Report No. PEER 2007/08, Pacific Earthquake Engineering Research Center, College of Engineering, University of California, Berkeley.
Haselton CB, Liel AB, Lange ST and Deierlein GG (2008), “Beam-Column Element Model Calibrated for Predicting Flexural Response Leading to Global Collapse of RC Frame Buildings,” Report No. PEER 2007/03, Pacific Earthquake Engineering Research Center, College of Engineering, University of California, Berkeley.
Hassanzadeh A and Gholizadeh S (2019), “Collapse-Performance-Aided Design Optimization of Steel Concentrically Braced Frames,” Engineering Structures, 197: 109411 (15 Pages).
Ibarra LF and Krawinkler H (2005), “Global Collapse of Frame Structures Under Seismic Excitations,” Report No.152, Pacific Earthquake Engineering Research Center Berkeley, CA.
Ibarra LF, Medina RA and Krawinkler H (2005), “Hysteretic Models that Incorporate Strength and Stiffness Deterioration,” Earthquake Engineering and Structural Dynamics, 34(12): 1489–1511.
Karimi Ghaleh Jough F and Beheshti Aval S (2018), “Uncertainty Analysis Through Development of Seismic Fragility Curve for an SMRF Structure Using an Adaptive Neuro-Fuzzy Inference System Based on Fuzzy C-Means Algorithm,” Scientia Iranica, 25(6): 2938–2953.
Karimi Ghaleh Jough F and Şensoy S (2016), “Prediction of Seismic Collapse Risk of Steel Moment Frame Mid-Rise Structures by Meta-Heuristic Algorithms,” Earthquake Engineering and Engineering Vibration, 15(4): 743–757.
Karimi Ghaleh Jough F and Şensoy S (2020), “Steel Moment-Resisting Frame Reliability via the Interval Analysis by FCM-PSO Approach considering Various Uncertainties,” Journal of Earthquake Engineering, 24(1): 109–128.
Khojastehfar E, Beheshti-Aval SB, Zolfaghari MR and Nasrollahzade K (2014), “Collapse Fragility Curve Development Using Monte Carlo Simulation and Artificial Neural Network,” Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 228(3): 301–312.
Li X (1996), “Simultaneous Approximations of Multivariate Functions and Their Derivatives by Neural Networks with One Hidden Layer,” Neurocomputing, 12(4): 327–343.
Liel AB, Haselton CB, Deierlein GG and Baker JW (2009), “Incorporating Modeling Uncertainties in the Assessment of Seismic Collapse Risk of Buildings,” Structural Safety, 31(2): 197–211.
Lignos DG and Krawinkler H (2010), “Deterioration Modeling of Steel Components in Support of Collapse Prediction of Steel Moment Frames Under Earthquake Loading,” Journal of Structural Engineering, 137(11): 1291–1302.
Myers RH, Montgomery DC and Anderson-Cook CM (2009), -Response Surface Methodology: Process and Product Optimization Using Designed Experiments, John Wiley & Sons., New York.
Palanci M (2019), “Fuzzy Rule Based Seismic Risk Assessment of One-Story Precast Industrial Buildings,” Earthquake Engineering and Engineering Vibration, 18(3): 631–648.
Panagiotakos TB and Fardis MN (2001), “Deformations of Reinforced Concrete Members at Yielding and Ultimate,” Structural Journal, 98(2): 135–148.
Park J and Towashiraporn P (2014), “Rapid Seismic Damage Assessment of Railway Bridges Using the Response-Surface Statistical Model,” Structural Safety, 47: 1–12.
Tothong P and Cornell CA (2007), “Probabilistic Seismic Demand Analysis Using Advanced Ground Motion Intensity Measures, Attenuation Relationships, and Near-Fault Effects,” Report No. PEER 2006/11, Pacific Earthquake Engineering Research Center, College of Engineering, University of California, Berkeley.
Tung Y-K and Yen BC (2005), Hydrosystems Engineering Uncertainty Analysis, McGraw-Hill New York.
Ugurhan B, Baker J and Deierlein G (2014), “Uncertainty Estimation in Seismic Collapse Assessment of Modern Reinforced Concrete Moment Frame Buildings,” Proceedings of the 10th National Conference in Earthquake Engineering, Anchorage, Alaska.
Vamvatsikos D and Cornell CA (2002), “Incremental Dynamic Analysis,” Earthquake Engineering & Structural Dynamics, 31(3): 491–514.
Vamvatsikos D and Cornell CA (2004), “Applied Incremental Dynamic Analysis,” Earthquake Spectra, 20(2): 523–553.
Zareian F and Krawinkler H (2007), “Assessment of Probability of Collapse and Design for Collapse Safety,” Earthquake Engineering & Structural Dynamics, 36(13): 1901–1914.
Zareian F, Krawinkler H, Ibarra L and Lignos D (2010), “Basic Concepts and Performance Measures in Prediction of Collapse of Buildings under Earthquake Ground Motions,” The Structural Design of Tall and Special Buildings, 19(1–2): 167–181.
Zhang D, Han X, Jiang C, Liu J and Li Q (2017), “Time-Dependent Reliability Analysis Through Response Surface Method,” Journal of Mechanical Design, 139(4): 041404 (12 pages).
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Bayari, M.A., Shabakhty, N. & Abadi, E.I.Z. Analyzing uncertainties involved in estimating collapse risk with and without considering uncertainty probability distribution parameters. Earthq. Eng. Eng. Vib. 21, 101–116 (2022). https://doi.org/10.1007/s11803-021-2068-x
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DOI: https://doi.org/10.1007/s11803-021-2068-x