Abstract
Due to their many advantages, corrugated steel plates are widely used in various applications including bridges. Starting with airplane design, these corrugated steel plates have been used in civil engineering applications such as buildings and bridges, and many studies on corrugated steel plates are being conducted. However, most of these studies focused on the strength of girders through analysis and experiment of corrugated steel plates and studies on the optimization of corrugated steel plates are still insufficient. The present study developed the weight optimum design using the differential evolution and investigated the effects of parameters. The optimization program was verified with differential evolution through the numerical analysis examples of simple beams and fixed beams. For this verification, the optimization program using the genetic algorithm that has been studied was compared with the weight optimum graph of the optimization program of differential evolution proposed in this study. As a result, the graphs of these two optimization programs increased similarly. The change rate was 3.57% or lower in the example of uniformly load for fixed beam, 1.60% or lower in the example of concentrated load for fixed beam, and 1.44% or lower in the example of uniformly load for simple beam. Furthermore, in the graph of changing design variables, the changing web thickness showed a similar trend as the increasing trend of the optimum sectional area.
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References
Abbas, H. H., Sause, R., and Driver, R. G. (2002). “Shear strength and stability of high performance steel corrugated web girders.” Proc. Social Science Research Council Conf., pp. 361–387.
Abbas, H., Sause, R., and Driver, R. G. (2006). “Behavior of corrugated web I-girders under in-plane loads.” Journal of Engineering Mechanics, ASCE, 132(8), pp. 806–814.
Abbas, H., Sause, R., and Driver, R. G. (2007a). “Analysis of flange transverse bending of corrugated web I-girders under in-plane loads.” Journal of Structural Engineering, ASCE, 133(3), pp. 347–355.
Abbas, H. H., Sause, R., and Driver, R. G. (2007b). “Simplified analysis of flange transverse bending of corrugated web I-girders under in-plane moment and shear.” Engineering Structures, 29(11), pp. 2816–2824
Anami, K., Sause, R., and Abbas, H. H. (2005) “Fatigue of web-flange weld of corrugated web girders: 1. Influence of web corrugation geometry and flange geometry on web-flange weld toe stresses.” International Journal of Fatigue, 27(4), pp. 373–381.
Cafolla, J. (1995). Corrugated webs and lateral restraints in plate girders for bridges. Ph.D. Thesis, University of Warwick.
Chan, C. L., Khalid, Y. A., Sahari, B. B., and Hamouda, A. M. S. (2002). “Finite element analysis of corrugated web beams under bending.” Journal of Constructional Steel Research, 58(11), pp. 1391–1406
Das, S. and Suganthan, P. N. (2011). “Differential evolution: A survey of the state-of-the-art.” Evolutionary Computation, IEEE, 15(1), pp. 4–31.
DASt-Richtlinie 015 (1990). Träger mit schlanken Stegen. Stahlbau-Verlagdgesellschaft mbH, Stahlbau-Verlag, Köln (in German).
DIN 18800 (1990). Steel structures Part 1-3. German institute for standardization, Berlin (in German).
Easley, J. T. and McFarland, D. E. (1969). “Buckling of light-gage corrugated metal shear diaphragms.” Journal of the Structural Division, 95(12), ASCE, pp. 1497–1516.
Elgaaly, M., Hamilton, R. W., and Seshadri A. (1996). “Shear strength of beam with corrugated webs.” Journal of Structural Engineering, ASCE, 122(4), pp. 390–398
Elgaaly, M., Seshadri, A., and Hamilton, R. (1997). “Bending strength of steel beams with corrugated webs.” Journal of Structural Engineering, ASCE, 123(6), pp. 772–782.
Elgaaly, M. and Seshadri, A. (1998). “Shear built-up girders with trapezoidally corrugated webs.” AISC's Engineering Journal, First Quarter, pp.1–11.
El-Metwally, A. S. (1998). Prestressed composite girders with corrugated steel webs. Thesis for degree of master, University of Calgary.
EUROCODE 3 (2006). Design of steel structures-Part 1: 5 Plated structural elements. Annex D, European Committee for Standardization (CEN).
Ibrahim, S. A., El-Dakhakhni, W. W., and Elgaaly, M. (2006). “Behavior of bridge girders with corrugated webs under monotonic and cyclic loading.” Engineering Structures, 28(15), pp. 1941–1955.
Kim, G. S., Cho, H. G., and Yi, J. E. (2012a). “Parameter estimation of the neyman-scott rectangular pulse model using a differential evolution method.” Journal of Korean Society of Hazard Mitigation, 12(4), pp. 187–194.
Kim, S. J., Jeon, J. S., Won, D. H., and Kang, Y. J. (2012b). “Torsional and warping constants of I-shaped plate girders with a sine corrugated web.” Journal of Korean Society of Civil Engineers, 32(6A), pp. 347–354.
Kövesdi, B., Jáger, B., and Dunai, L. (2012) “Stress distribution in the flanges of girders with corrugated webs.” Journal of Constructional Steel Research, 79, pp. 204–215.
Lee, K. S. (2009). “Standard harmony search algorithm for structural design optimization.” Studies in Computational Intelligence, 239, pp. 1–49.
Lindner, J. (1990). “Lateral torsional buckling of beams with trapezoidally corrugated webs.” Proc. Stability and ductility of Steel Structures, Budapest, Hungary, pp. 305–310.
Luo, R. and Edlund, B. (1996). “Shear capacity of plate girders with trapezoidally corrugated webs.” Thin Walled Structures, 26(1), pp. 19–44.
Moon, J. H., Yi, J. W., Choi, B. H., and Lee, H. E. (2007). “Evaluation of lateral-torsional buckling strength of Igirder with corrugated web under uniform bending.” Journal of Korean Society of Steel Construction, 19(5), pp. 463–372.
Moon, J. H., Yi, J. W., Choi, B. H., and Lee, H. E. (2009). “Lateral-torsional buckling of I-girder with corrugated webs under uniform bending.” Thin-Walled Structure, 47(1), pp. 21–30.
Nguyen, N. D., Kim, S. N., Han, S. R., and Kang, Y. J. (2010). “Elastic lateral-torsional buckling strength of Igirder with trapezoidal web corrugations using a new warping constant under uniform moment.” Journal of Engineering Structures, 32(8), pp. 2157–2165
Pasternak, H. and Hannebauer, D. (2004). Stahlbau Kalendar 2004-4 Träger mit profilierten Stegen. Ernst & Shon (in German).
Storn, R. and Price, K. V. (1995). Differential Evolution-a simple and efficient adaptive scheme for global optimization over continuous spaces. Technical Report TR-95-012, ICSI
Romeijn, A., Sarkhosh, R., and de Hoop, H. (2009). “Basic parametric study on corrugated web girders with cut outs.” Journal of Constructional Steel Research, 65, pp. 395–407.
Sayed-Ahmed, E. Y. (2001). “Behavior of steel and (or) composite girders with corrugated steel webs.” Canadian Journal of Civil Engineering, 28(4), pp. 656–672.
Sayed-Ahmed, E. Y. (2005). “Lateral torsion flexure buckling of corrugated web steel girders.” Proc. ICE — Structures and Buildings, 158(1), pp. 53–69.
Shon, S. D. and Lee, S. J. (2011). “Optimum structural design of sinusoidal corrugated web beam using realvalued genetic algorithm.” Journal of Korean Society of Steel Construction, 23(5), pp. 581–593.
Shon, S. D., Yoo, M. N., Ha, J. H., Kang, J. W., and Seok, K. Y. (2012). “Minimum weight design of corrugated web girder using genetic algorithms.” Proc. Conference on Computational Design in Engineering, Jeju, Korea, pp. 166.
Storn, R. (2008). “Differential evolution research-trends and open questions.” Studies in Computational Intelligence, 143, pp.1–31.
Yamazaki, M. (2001). “Buckling strength of corrugated webs.” Journal of Structural Engineering. A, JSCE, A(1), pp. 19–26.
Yi, J. W., Gil, H. B., Youm, K. S., and Lee, H. E. (2008). “Interactive shear buckling behavior of trapezoidally corrugated steel webs.” Engineering Structures, 30(6), pp. 1659–1666.
Zhang, W., Li, Y., Zhou, Q., Qi, X., and Widera, G. E. O. (2002). “Optimization of the structure of an H-beam with either a flat or a corrugated web: Part 3. Development and research on H-beams with wholly corrugated webs.” Journal of Materials Processing Technology, 101(1–3), pp. 119–123.
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Shon, S., Yoo, M., Kang, J. et al. Minimum weight design of sinusoidal corrugated web beam using differential evolution algorithm. Int J Steel Struct 15, 213–225 (2015). https://doi.org/10.1007/s13296-015-3016-2
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DOI: https://doi.org/10.1007/s13296-015-3016-2