DOI QR코드

DOI QR Code

An efficient approach for optimum shape design of steel shear panel dampers under cyclic loading

  • Received : 2020.02.18
  • Accepted : 2020.12.21
  • Published : 2021.03.25

Abstract

The low-cycle fatigue performance of shear panel damper (SPD) highly depends on the geometry of its shape and the criterion considered for its design. The main contribution of the current study is to find the optimum shape of the SPD subjected to cyclic loading by considering two different objective functions. The maximum equivalent plastic strain and the ratio of energy dissipation through plastic deformation to the maximum equivalent plastic strain are selected as the first and second objective functions, respectively. Since the optimization procedure requires high computational efforts, a hybrid computational approach is used to perform two paramount phases of estimating the inelastic responses of the SPD and solving the optimization problem. In the first phase, as an alternative for the time-consuming finite element analysis of the SPD, a weighted-support vector machine model is developed to predict the inelastic responses of the SPDs during the optimization process. In the second phase, the optimum shape of the SPD is found by using the whale optimization algorithm (WOA). The results indicate that both design criteria lead to the optimum-shaped SPDs with a significant improvement in their low cycle fatigue performance in comparing with the initial rectangular shape while a slight reduction in their energy dissipation capacity. Moreover, the second design criterion is slightly better in the performance improvement of the optimum-shaped SPDs compared with the first one. In addition, the weighted-based SVM approach can accurately predict the inelastic responses of the SPDs under cyclic loading, and its combination with WOA results in finding the optimum solutions quickly.

Keywords

References

  1. ABAQUS, (2003), Analysis user's manual-version 6.4, 19.2.2. Hbbit, Karlsson & Sorensen, Inc.
  2. Akbari, H.A. and Mofid, M. (2015), "On the experimental and numerical study of braced steel shear panels", Struct. Des. Tall. Spec., 24(14), 853-872. https://doi.org/10.1002/tal.1215
  3. Aoki, T., Liu, Y., Takaku, T., Uenoya, M. and Fukumoto, Y. (2007), "Experimental investigation of tapered shear-type seismic devices for bridge bearings", In: Pacific Structural Steel Conference, Steel Structures in Natural Hazards, Wairakei, New Zealand.
  4. Bilondi, M.R.S., Yazdani, H. and Khatibinia, M. (2018), "Seismic energy dissipation-based optimum design of tuned mass dampers", Struct. Multidiscipl. Optimi., 58(6), 2517-2531. https://doi.org/10.1007/s00158-018-2033-0
  5. Boggs, P.T. and Tolle, J.W. (1995), "Sequential quadratic programming", Acta. Numeric., 4, 1-52. https://doi.org/10.1017/S0962492900002518
  6. Brando, G. and De Matteis, G. (2014), "Design of low strength-high hardening metal multi-stiffened shear plates", Eng. Struct., 60, 2-10. https://doi.org/10.1016/j.engstruct.2013.12.005
  7. Chan, R.W., Albermani, F. and Kitipornchai, S. (2013), "Experimental study of perforated yielding shear panel device for passive energy dissipation", J. Constr. Steel Res., 91, 14-25. https://doi.org/10.1016/j.jcsr.2013.08.013
  8. Choi, I.R. and Park, H.G. (2010), "Hysteresis model of thin infill plate for cyclic nonlinear analysis of steel plate shear walls", J. Struct. Eng., 136(11), 1423-1434. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000244
  9. De Matteis, G., Mazzolani, F. and Panico, S. (2008), "Experimental tests on pure aluminium shear panels with welded stiffeners", Eng. Struct., 30(6), 1734-1744. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000244
  10. De Matteis, G., Sarracco, G. and Brando, G. (2009), "Bracing type pure aluminium stiffened shear panels: an experimental study", Adv. Steel. Constr., 5(2), 106-119.
  11. De Matteis, G., Brando, G. and Mazzolani, F.M. (2011), "Hysteretic behaviour of bracing-type pure aluminium shear panels by experimental tests", Earthq. Eng. Struct. Dyn., 40(10), 1143-1162. https://doi.org/10.1002/eqe.1079
  12. De Matteis, G., Sarracco, G. and Brando, G. (2016), "Experimental tests and optimization rules for steel perforated shear panels", J. Constr. Steel Res., 123, 41-52. https://doi.org/10.1016/j.jcsr.2016.04.025
  13. Deng, K., Pan, P., Sun, J., Liu, J. and Xue, Y. (2014), "Shape optimization design of steel shear panel dampers", J. Constr. Steel Res., 99, 187-193. https://doi.org/10.1016/j.jcsr.2014.03.001
  14. Egorova, N., Eatherton, M.R. and Maurya, A. (2014), "Experimental study of ring-shaped steel plate shear walls", J. Constr. Steel Res., 103, 179-189. https://doi.org/10.1016/j.jcsr.2014.09.002
  15. Ene, D., Kishiki, S., Yamada, S., Jiao, Y., Konishi, Y., Terashima, M. and Kawamura, N. (2016), "Experimental study on the bidirectional inelastic deformation capacity of U-shaped steel dampers for seismic isolated buildings", Earthq. Eng. Struct. Dyn., 45(2), 173-192. https://doi.org/10.1002/eqe.2621
  16. Faux, I.D. and Pratt, M.J. (1979), Computational Geometry for Design and Manufacture, Ellis Horwood Ltd.
  17. Gharehbaghi, S. (2018), "Damage controlled optimum seismic design of reinforced concrete framed structures", Struct. Eng. Mech., Int. J,, 65(1), 53-68. https://doi.org/10.12989/sem.2018.65.1.053
  18. Gharehbaghi, S. and Khatibinia, M. (2015), "Optimal seismic design of reinforced concrete structures under time-history earthquake loads using an intelligent hybrid algorithm", Earthq. Eng. Eng. Vibr., 14(1), 97-109. https://doi.org/10.1007/s11803-015-0009-2
  19. Gharehbaghi, S., Yazdani, H. and Khatibinia, M. (2019), "Estimating inelastic seismic response of reinforced concrete frame structures using a wavelet support vector machine and an artificial neural network", Neural. Comput. Appl., 32, 2975-2988. https://doi.org/10.1007/s00521-019-04075-2
  20. Hamed, A.A. and Mofid, M. (2015), "On the equivalent simple models of braced steel shear panels", Proceedings of the Institution of Civil Engineers-Structures and Buildings, 168(8), 570-577. https://doi.org/10.1680/stbu.14.00070
  21. Hossain, M.R., Ashraf, M. and Albermani, F. (2011), "Numerical modelling of yielding shear panel device for passive energy dissipation", Thin-Wall. Struct., 49(8), 1032-1044. https://doi.org/10.1016/j.tws.2011.03.003
  22. Jain, S., Rai, D.C. and Sahoo, D.R. (2008), "Postyield cyclic buckling criteria for aluminum shear panels", J. Appl. Mech., 75(2), 021015. https://doi.org/10.1115/1.2793135
  23. Jiao, Y., Kishiki, S., Yamada, S., Ene, D., Konishi, Y., Hoashi, Y. and Terashima, M. (2015), "Low cyclic fatigue and hysteretic behavior of U-shaped steel dampers for seismically isolated buildings under dynamic cyclic loadings", Earthq. Eng. Struct. Dyn., 44(10), 1523-1538. https://doi.org/10.1002/eqe.2533
  24. Jirasek, M. and Bazant, Z.P. (2001), Inelastic Analysis of Structures, John Wiley & Sons.
  25. Kang, T.H.K., Martin, R.D., Park, H.G., Wilkerson, R. and Youssef, N. (2013), "Tall building with steel plate shear walls subject to load reversal", Struct. Des. Tall. Spec., 22(6), 500-520. https://doi.org/10.1002/tal.700
  26. Khatibinia, M., Fadaee, M.J., Salajegheh, J. and Salajegheh, E. (2013), "Seismic reliability assessment of RC structures including soil-structure interaction using wavelet weighted least squares support vector machine", Reliab. Eng. Syst. Saf., 110, 22-33. https://doi.org/10.1016/j.ress.2012.09.006
  27. Khatibinia, M., Gharehbaghi, S. and Moustafa, A. (2015), "Seismic reliability-based design optimization of reinforced concrete structures including soil-structure interaction effects", In: Earthquake Engineering-From Engineering Seismology to Optimal Seismic Design of Engineering Structures, A. Moustafa, Editor., InTech: London, UK. pp. 267-304.
  28. Khatibinia, M., Jalalipour, M. and Gharehbaghi, S. (2019), "Shape optimization of U-shaped steel dampers subjected to cyclic loading using an efficient hybrid approach", Eng. Struct., 197, 108874. https://doi.org/10.1016/j.engstruct.2019.02.005
  29. Kishiki, S., Ohkawara, Y., Yamada, S. and Wada, A. (2008), "Experimental evaluation of cyclic deformation capacity of U-shaped steel dampers for base-isolated structures", J. Struct. Constr. Eng., 73(624), 333-340. https://doi.org/10.3130/aijs.73.333
  30. Lemaitre, J. and Chaboche, J.L. (1994), Mechanics of Solid Materials, Cambridge University Press.
  31. Liu, Y. and Shimoda, M. (2013), "Shape optimization of shear panel damper for improving the deformation ability under cyclic loading", Struct. Multidiscipl. Optimi., 48(2), 427-435. https://doi.org/10.1007/s00158-013-0909-6
  32. Liu, Y., Aoki, T., Takaku, T. and Fukumoto, Y. (2007), "Cyclic loading tests of shear panel damper made of low yield steel", J. Struct. Constr. Eng. A, 53, 560-567.
  33. Mahmoudi, M. and Abdi, M.G. (2012), "Evaluating response modification factors of TADAS frames", J. Constr. Steel Res., 71, 162-170. https://doi.org/10.1016/j.jcsr.2011.10.015
  34. MATLAB (2018), The Language of Technical Computing, Vol. MathWorks, Inc. 2018: MathWorks, Incorporated.
  35. McKay, M.D., Beckman, R.J. and Conover, W.J. (1979), "A comparison of three methods for selecting values of input variables in the analysis of output from a computer code", Technometrics, 21(2), 239-245. https://doi.org/10.1080/00401706.1979.10489755
  36. Mirjalili, S. and Lewis, A. (2016), "The whale optimization algorithm", Adv. Eng. Softw., 95, 51-67. https://doi.org/10.1016/j.advengsoft.2016.01.008
  37. Nakashima, M., Iwai, S., Iwata, M., Takeuchi, T., Konomi, Sh., Akazawa, T. and Saburi, K. (1994), "Energy dissipation behaviour of shear panels made of low yield steel", Earthq. Eng. Struct. Dyn., 23(12), 1299-1313. https://doi.org/10.1002/eqe.4290231203
  38. Ohsaki, M. and Nakajima, T. (2012), "Optimization of link member of eccentrically braced frames for maximum energy dissipation", J. Constr. Steel Res., 75, 38-44. https://doi.org/10.1016/j.jcsr.2012.03.008
  39. Olhoff, N. (1995), Structural and Multidisciplinary Optimization: Proceedings of the First World Congress of Structural and Multidisciplinary Optimization, Goslar, Germany, May-June, Pergamon Press.
  40. Rai, D.C., Annam, P.K. and Pradhan, T. (2013), "Seismic testing of steel braced frames with aluminum shear yielding dampers", Eng. Struct., 46, 737-747. https://doi.org/10.1016/j.engstruct.2012.08.027
  41. Saeedi, F., Shabakhty, N. and Mousavi, S.R. (2016), "Seismic assessment of steel frames with triangular-plate added damping and stiffness devices", J. Const. Steel Res., 125, 15-25. https://doi.org/10.1016/j.jcsr.2016.06.011
  42. Sahoo, D.R. and Rai, D.C. (2013), "Design and evaluation of seismic strengthening techniques for reinforced concrete frames with soft ground story", Eng. Struct., 56, 1933-1944. https://doi.org/10.1016/j.engstruct.2013.08.018
  43. Sorace, S., Terenzi, G. and Mori, C. (2016), "Passive energy dissipation-based retrofit strategies for R/C frame water towers", Eng. Struct., 106, 385-398. https://doi.org/10.1016/j.engstruct.2015.10.038
  44. Suykens, J.A., Brabanter, J.D., Lukas, L. and Vandewalle, J. (2002), "Weighted least squares support vector machines: robustness and sparse approximation", Neurocomputing, 48(1-4), 85-105. https://doi.org/10.1016/S0925-2312(01)00644-0
  45. Valizadeh, H., Sheidaii, M. and Showkati, H. (2012), "Experimental investigation on cyclic behavior of perforated steel plate shear walls", J. Constr. Steel Res., 70, 308-316. https://doi.org/10.1016/j.jcsr.2011.09.016
  46. Vian, D., Bruneau, M. and Purba, R. (2009), "Special perforated steel plate shear walls with reduced beam section anchor beams. II: Analysis and design recommendations", J. Struct. Eng., 135(3), 221-228. https://doi.org/10.1061/(ASCE)0733-9445(2009)135:3(221)
  47. Wong, K. (2008), "Seismic energy dissipation of inelastic structures with tuned mass dampers", J. Eng. Mech., 134(2), 163-172. https://doi.org/10.1061/(ASCE)0733-9399(2008)134:2(163)
  48. Xu, F.H., Xu, Z.D. and Zhang, X.C. (2017), "Study on the space frame structures incorporated with magnetorheological dampers", Smart. Struct. Syst., Int. J., 19(3), 279-288. https://doi.org/10.12989/sss.2017.19.3.279
  49. Yazdani, H., Khatibinia, M., Gharehbaghi, S. and Hatami, K. (2016), "Probabilistic performance-based optimum seismic design of RC structures considering soil-structure interaction effects", ASCE-ASME J. Risk Uncertain. Eng. Syst. A Civ. Eng. Syst., Part A: Civil Eng., 3(2), G4016004. https://doi.org/10.1061/AJRUA6.0000880
  50. Zhang, C., Zhang, Z. and Shi, J. (2012a), "Development of high deformation capacity low yield strength steel shear panel damper", J. Constr. Steel Res., 75, 116-130. https://doi.org/10.1016/j.jcsr.2012.03.014
  51. Zhang, C., Zhang, Z. and Zhang, Q. (2012b), "Static and dynamic cyclic performance of a low-yield-strength steel shear panel damper", J. Constr. Steel Res., 79, 195-203. https://doi.org/10.1016/j.jcsr.2012.07.030
  52. Zhang, C., Zhu, J., Wu, M., Yu, J. and Zao, J. (2016), "The lightweight design of a seismic low-yield-strength steel shear panel damper", Materials, 9(6), 424. https://doi.org/10.3390/ma9060424

Cited by

  1. Mechanical performance and damping effect of multi‐stage yield metal sleeve damper vol.29, pp.2, 2021, https://doi.org/10.1002/stc.2864