Abstract
Corrugated steel plate shear walls (CoSPSWs), which consist of corrugated infill steel wall panels and steel boundary frames, could be used as lateral force-resisting systems for mid- to high-rise buildings. In seismic design, the fundamental vibration period is generally estimated by empirical formulae corresponding to different types of lateral force-resisting systems. However, both the formulae in various design specifications and improved formulae proposed recently for steel shear walls with flat wall panels were not suitable and accurate for CoSPSWs since the difference in the load-carrying mechanism of steel shear walls with flat and corrugated wall panels respectively. Eigenvalue frequency analyses were conducted on a total of 60 validated CoSPSW finite element models with varying geometries, and results showed that fundamental periods estimated by current formulae were shorter than periods from the analyses, which might lead to the over-conservative and uneconomic design. Improved empirical formula was proposed for the fundamental period of CoSPSWs based on regression analyses. Simplified calculation method for calculating the fundamental period of CoSPSWs after the first trial design was proposed using the shear-flexure cantilever formulation, and validated through finite element analyses. Furthermore, influences of major geometric properties of CoSPSWs on the fundamental period was investigated.
Similar content being viewed by others
References
AISC (2016) Seismic provisions for structural steel buildings. ANSI/AISC 341-16, American Institute of Steel Construction, Chicago, IL, USA
ASCE (2016) Minimum design loads and associated criteria for buildings and other structures. ASCE/SEI 7–16, American Society of Civil Engineers, Reston, VA, USA
Asl MH, Safarkhani M (2017) Seismic behavior of steel plate shear wall with reduced boundary beam section. Thin-Walled Structures 116:169–179, DOI: https://doi.org/10.1016/j.tws.2017.03.014
Atasoy M (2008) Lateral stiffness of unstiffened steel plate shear walls. MSc Thesis, Middle East Technical University, Ankara, Turkey
Berman JW, Bruneau M (2005) Experimental investigation of light-gauge steel plate shear walls. Journal of Structural Engineering 131(2):259–267, DOI: https://doi.org/10.1061/(ASCE)0733-9445(2005)131:2(259)
Bhowmick AK, Grondin GY, Driver RG (2011) Estimating fundamental periods of steel plate shear walls. Engineering Structures 33(6):1883–1893, DOI: https://doi.org/10.1016/j.engstruct.2011.02.010
Blevins RD, Plunkett R (1979) Formulae for natural frequency and mode shape. Van Nostrand Reinhold, New York, NY, USA
Cafolla J (1995) Corrugated webs and lateral restraints in plate girders for bridges. PhD Thesis, University of Warwick, Coventry, UK
CEN (2004) Eurocode 8: Design of structures for earthquake resistance. Part 1: General rules, seismic actions and rules for buildings. European Committee for Standardization, Brussels, Belgium
Charney FA, Iyer H, Spears PW (2005) Computation of major axis shear deformations in wide flange steel girders and columns. Journal of Constructional Steel Research 61(11):1525–1558, DOI: https://doi.org/10.1016/j.jcsr.2005.04.002
Chopra AK (1995) Dynamics of structures: Theory and applications to earthquake engineering. Prentice Hall, NJ, USA
Dou C, Jiang ZQ, Pi YL, Guo YL (2016) Elastic shear buckling of sinusoidally corrugated steel plate shear wall. Engineering Structures 121:136–146, DOI: https://doi.org/10.1016/j.engstruct.2016.04.047
Dou C, Pi YL, Gao W (2018) Shear resistance and post-buckling behavior of corrugated panels in steel plate shear walls. Thin-Walled Structures 131:816–826, DOI: https://doi.org/10.1016/j.tws.2018.07.039
Driver RG (1998) Cyclic test of four-story steel plate shear wall. Journal of Structural Engineering 124(2):112–120, DOI: https://doi.org/10.1061/(ASCE)0733-9445(1998)124:2(112)
Driver RG, Kulak GL, Laurie KDG, Elwi AE (1997) Seismic behaviour of steel plate shear wall. Structural Engineering Report. No. 215, Department of Civil Engineering, University of Alberta, Edmonton, AB, Canada
Emami F, Mofid M, Vafai A (2013) Experimental study on cyclic behavior of trapezoidally corrugated steel shear walls. Engineering Structures 131:750–762, DOI: https://doi.org/10.1016/j.engstruct.2012.11.028
GB50009–2012 (2012) Load code for the design of building structures. GB50009-2012, China Academy of Building Research, China Architecture and Building Press, Beijing, China (in Chinese)
GB50011–2010 (2010) Code for seismic design of buildings. GB50011-2010, China Academy of Building Research, China Architecture and Building Press, Beijing, China (in Chinese)
GB50017–2017 (2017) Code for design of steel structures. GB50017-2017, China Academy of Building Research, China Planning Press, Beijing, China (in Chinese)
Goel RK, Chopra AK (1997) Period formulae for moment-resisting frame buildings. Journal of Structural Engineering 123(11):1454–1461, DOI: https://doi.org/10.1061/(ASCE)0733-9445(1997)123:11(1454)
Hosseinzadeh L, Emami F, Mofid M (2017) Experimental investigation on the behavior of corrugated steel shear wall subjected to the different angle of trapezoidal plate. Structural Design of Tall & Special Buildings 26(2), DOI: https://doi.org/10.1002/tal.1390
JGJ99–2015 (2016) Technical specification for steel structure of tall building. JGJ99-2015, China Academy of Building Research, China Architecture and Building Press, Beijing, China (in Chinese)
Jiang R, Jiang L, Hu Y, Jiang L, Ye J (2020) A simplified method for fundamental period prediction of steel frames with steel plate shear walls. Structural Design of Tall & Special Buildings 29(7), DOI: https://doi.org/10.1002/tal.1718
Lin CH, Tsai KC, Qu B, Bruneau M (2010) Sub-structural pseudodynamic performance of two full-scale two-story steel plate shear walls. Journal of Constructional Steel Research 66(12):1467–1482, DOI: https://doi.org/10.1016/j.jcsr.2010.05.013
Liu S, Warn GP, Berman JW (2013) Estimating natural periods of steel plate shear wall frames. Journal of Structural Engineering 139(1): 155–161, DOI: https://doi.org/10.1061/(ASCE)ST.1943-541X.0000610
Lubell AS, Prion HGL, Ventura CE, Rezai M (2000) Unstiffened steel plate shear wall performance under cyclic loading. Journal of Structural Engineering 126(4):453460, DOI: https://doi.org/10.1061/(ASCE)0733-9445(2000)126:4(453)
NBCC (2015) Canadian commission on building and fire codes. National Research Council of Canada, Ottawa, Canada
Qiu J, Zhao QH, Yu C, Li ZX (2018) Experimental studies on cyclic behavior of corrugated steel plate shear walls. Journal of Structural Engineering 144(11), DOI: https://doi.org/10.1061/(ASCE)ST.1943-541X.0002165
Rezai M (1999) Seismic behaviour of steel plate shear walls by shake table testing. PhD Thesis, University of British Columbia, Vancouver, Canada
Sabelli R, Bruneau M (2006) AISC design guide 20 — steel plate shear walls. American Institute of Steel Construction, Chicago, IL, USA
SIMULIA (2014) ABAQUS/standard user’s manual, version 6.14. Dassault Systèmes Simulia Corp., Providence, RI, USA
Timler PA, Kulak GL (1983) Experimental study of steel plate shear walls. Structural Engineering Report. No. 114, Department of Civil Engineering, University of Alberta, Edmonton, AB, Canada
Timoshenko S, Young DH (1955) Vibration problems in engineering. D. Van Nostrand Company, Princeton, NJ, USA
Topkaya C, Kurban CO (2009) Natural periods of steel plate shear wall systems. Journal of Constructional Steel Research 65(3):542–551, DOI: https://doi.org/10.1016/j.jcsr.2008.03.006
Zalka KA (2001) A simplified method for calculation of the natural frequencies of wall-frame buildings. Engineering Structures 23(12): 1544–1555, DOI: https://doi.org/10.1016/S0141-0296(01)00053-0
Zhao QH, Sun JH, Li YN, Li ZX (2017) Cyclic analyses of corrugated steel plate shear walls. Structural Design of Tall & Special Buildings 26(16), DOI: https://doi.org/10.1002/tal.1351
Acknowledgements
The authors of this paper would like to express their appreciation for the financial support given by the National Natural Science Foundation of China (No.51378340, No.51678406, and No.51878447). Support from the funding agency above is gratefully acknowledged.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zhao, Q., Qiu, J., Zhao, Y. et al. Estimating Fundamental Period of Corrugated Steel Plate Shear Walls. KSCE J Civ Eng 24, 3023–3033 (2020). https://doi.org/10.1007/s12205-020-2305-2
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12205-020-2305-2