Investigation of Uncertainties in Nonlinear Seismic Analysis of the Reinforced Concrete Shear Walls
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RESEARCH PAPER
Investigation of Uncertainties in Nonlinear Seismic Analysis of the Reinforced Concrete Shear Walls Muhammet Karaton1
•
O¨mer Faruk Osmanlı2
•
Mehmet Eren Gu¨ls¸an3
Received: 16 April 2020 / Revised: 10 August 2020 / Accepted: 2 September 2020 Iran University of Science and Technology 2020
Abstract In this study, the use of the displacement-based fibre element (DBFE) method for modelling the nonlinear seismic response of reinforced concrete shear wall structures with a variation of damping ratios and types of structural damping is evaluated. The experimental seismic responses of the CAMUS I and NEES-UCSD shear wall structures are compared with nonlinear time-history analysis results obtained using the DBFE method. Comparisons are made in terms of the absolute maximum values of the top displacement, the base shear force, the base bending moment values and minimum differences between overlaps of top displacement time-history graphs. The Hilber-Hughes-Taylor-a integration method is selected for the dynamic solution algorithm. Recommendations are made for appropriate damping ratios for stiffness-proportional, massproportional, and Rayleigh damping to be used for the structural damping of nonlinear seismic analyses of the shear walls. The minimum difference between experimental and numerical analysis results is obtained less than 11% using Rayleigh damping. Additionally, the optimal number of fibre elements is researched with regard to the ratio of the mean length of the fibre elements to the longitudinal length of the shear wall. When the ratio is smaller than 3%, the differences between experimental and numerical analysis results for both shear walls are less than 2% at the optimal damping ratios. Keywords Shear wall structures Displacement-based formulation Nonlinear time-history analysis, Damping types Fibre element number
1 Introduction Proper numerical modelling of the shear walls under seismic loads has been a very important research subject for decades. Although there are many experimental studies in the literature which investigate the behaviour of reinforced concrete (RC) shear walls against lateral loading, there are & Muhammet Karaton [email protected] ¨ mer Faruk Osmanlı O [email protected] Mehmet Eren Gu¨ls¸ an [email protected] 1
Department of Civil Engineering, Firat University, 23119 Elazig, Turkey
2
Department of Civil Engineering, Sirnak University, 73000 Sirnak, Turkey
3
Department of Civil Engineering, Gaziantep University, 27310 Gaziantep, Turkey
still uncertainties with regard to the best numerical approach and the best damping ratio in the modelling of shear walls [1–3]. These uncertainties should be investigated, and some recommendations should be made for designers of RC shear wall structures. The seismic performance of RC shear walls has been simulated using different modelling approaches [4–7]. Beam-column elements comprised of nonlinear rotational and axial springs were used in the most common m
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