Dynamic analysis of structures installed hysteretic dampers with hardening post-yielding stiffness using connection element method. (English) Zbl 1518.90094
J. Comb. Optim. 45, No. 3, Paper No. 95, 34 p. (2023); retraction note ibid. 47, No. 3, Paper No. 23, 1 p. (2024).
Summary: In recent years, various passive energy dissipation devices have been gradually applied to structural vibration control. Hysteretic dampers with hardening post-yielding stiffness (HDHPSs) could solve the problem of insufficient stiffness after the ordinary friction damper enters into its yield state, and realize multi-level seismic objectives and multi-stage energy dissipation. For hysteretic dampers with hardening post-yielding stiffness, computational formula of its resistance is given in this paper based on Wen-Gap connecting element, and the calculation formula of its equivalent yield strength is derived combining with the energy theory, which is verified by SAP2000 software. A 12-story steel frame with a weak story was strengthened by using HDHPSs and the dynamic performances of three frames are compared by using the connection element method proposed in this paper. The results show that the proposed formula of equivalent yield strength matches well with the numerical simulation results, which could provide a reference for seismic design of structures installed such dampers. The connection element method proposed in this paper is feasible to analyze the dynamic performances of structures with hardening post-yielding stiffness. The frame installed HDHPSs could effectively control the maximum displacement, which could meet the requirement of displacement performance target. This paper has certain reference significance for structural retrofit of existing structures.
Keywords:
connection element method; hardening post-yielding stiffness; dynamic performance; structural retrofit; energy dissipation deviceReferences:
| [1] | Anurag, S.; Tripathi, RK; Govardhan, B., Comparative performance evaluation of RC frame structures using direct displacement-based design method and force-based design method, Asian J Civil Eng, 21, 3, 381-394 (2020) · doi:10.1007/s42107-019-00198-y |
| [2] | ATC-40, Seismic evaluation and retrofit of concrete buildings, Redwood City, California: SSCSC, 1996 |
| [3] | Beheshti-Aval, SB; Mahbanouei, H.; Zareian, F., A hybrid friction-yielding damper to equip concentrically braced steel frames, Int J Steel Struct, 13, 4, 577-587 (2013) · doi:10.1007/s13296-013-4001-2 |
| [4] | Cardone, D., Displacement limits and performance displacement profiles in support of direct displacement-based seismic assessment of bridges, Earthq Eng Struct Dynam, 43, 8, 1239-1263 (2014) · doi:10.1002/eqe.2396 |
| [5] | Christopoulos, C.; Pampanin, S., Towards Performance based design of MDOF structures with explicit consideration of residual deformations, ISET J Earthq Technol, 41, 1, 53-73 (2004) |
| [6] | Christopoulos, C.; Filiatrault, A.; Bertero, V., Principles of passive supplemental damping and seismic isolation (2006), Pavia: IUSS Press, Pavia |
| [7] | Code for seismic design of buildings: GB 50011-2010 [s] Beijing: China State Construction Industry Press, 2016 |
| [8] | FEMA 273, (1997) Guidelines for the seismic rehabilitation of buildings, Washington, DC: BSSC, ATC, NEHRP |
| [9] | FEMA 450, (2004) NEHRP Recommended provisions for seismic regulations for new buildings and other structures: Provisions/prepared by the building seis-mic safety council, Washington, D.C: BSSC, NIBS |
| [10] | Godio, M.; Beyer, K., Evaluation of force-based and displacement-based out-of-plane seismic assessment methods for unreinforced masonry walls through refined model simulations, Earthq Eng Struct Dynam, 48, 4, 454-475 (2019) · doi:10.1002/eqe.3144 |
| [11] | Hao, L.; Zhang, R.; Jin, K., Direct design method based on seismic capacity redundancy for structures with metal yielding dampers, Earthq Eng Struct Dynam, 47, 2, 515-534 (2018) · doi:10.1002/eqe.2977 |
| [12] | Hosseini, HB; Moaddab, E., Experimental study of a hybrid structural damper for multi-seismic levels, Struct Build, 170, 10, 722-734 (2017) · doi:10.1680/jstbu.15.00122 |
| [13] | Hummel, J.; Seim, W., Displacementbased design approach to evaluate the behaviour factor for multi-storey CLT buildings, Eng Struct, 201, 1-12 (2022) |
| [14] | Iemura, H.; Takahashi, Y.; Sogabe, N., Development of two-level seismic design using post-yield stiffness and application for UBRC piers, Struct Eng Earthq Eng, 23, 1, 109-116 (2006) |
| [15] | Kim, J.; Seo, Y., Seismic design of low-rise steel frames with buckling-restrained braces, Eng Struct, 26, 5, 543-551 (2004) · doi:10.1016/j.engstruct.2003.11.005 |
| [16] | Kim, J.; Choi, H., Displacement-based design of supplemental dampers for seismic retrofit of a framed structure, J Struct Eng, 132, 6, 873-883 (2006) · doi:10.1061/(ASCE)0733-9445(2006)132:6(873) |
| [17] | Kim, K.; Shin, H., Seismic loss assessment of a structure retrofitted with slit-friction hybrid dampers, Eng Struct, 130, 336-350 (2017) · doi:10.1016/j.engstruct.2016.10.052 |
| [18] | Kim, J.; Choi, H.; Min, KW, Use of rotational friction dampers to enhance seismic and progressive collapse resisting capacity of structures, Struct Design Tall Spec Build, 20, 4, 515-537 (2011) · doi:10.1002/tal.563 |
| [19] | Kong, C.; Kowalsky, MJ, Impact of damping scaling factors on direct displacement-based design, Earthq Spectra, 32, 2, 843-859 (2016) · doi:10.1193/021815eqs031m |
| [20] | Kowalsky, MJ, RC structural walls designed according to UBC and displacement-based methods, J Struct Eng, 127, 5, 506-516 (2001) · doi:10.1061/(ASCE)0733-9445(2001)127:5(506) |
| [21] | Lee, CH; Kim, J.; Kim, DH; Ryu, J.; Ju, JK, Numerical and experimental analysis of combined behavior of shear-type friction damper and non-uniform strip damper for multi-level seismic protection, Eng Struct, 114, may1, 75-92 (2016) · doi:10.1016/j.engstruct.2016.02.007 |
| [22] | Lee, J.; Kang, H.; Kim, J., Seismic performance of steel plate slit-friction hybrid dampers, J Constr Steel Res, 136, 128-139 (2017) · doi:10.1016/j.jcsr.2017.05.005 |
| [23] | Lee, C-H; Ryu, J.; Kim, DH; Ju, YK, Improving seismic performance of non-ductile reinforced concrete frames through the combined behavior of friction and metallic dampers, Eng Struct, 172, 304-320 (2018) · doi:10.1016/j.engstruct.2018.06.045 |
| [24] | Li, G.; Li, HN, Seismic design method of energy dissipation and damped structure based on displacement, Eng Mech, 24, 9, 88-94 (2007) |
| [25] | Li, G.; Li, HN, Experimental study and application of metallic yielding-friction damper, J Earthq Tsunami, 07, 3, 1-13 (2013) · doi:10.1142/S1793431113500127 |
| [26] | Li, G.; Zhu, LH; Li, HN, Displacement-based seismic design for buildings installed hysteretic dampers with hardening post-yielding stiffness, Adv Struct Eng, 22, 16, 3420-3434 (2019) · doi:10.1177/1369433219852715 |
| [27] | Lin, YY; Tsai, MH; Hwang, JS; Chang, KC, Direct displacement-based design for building with passive energy dissipation systems, Eng Struct, 25, 1, 25-37 (2003) · doi:10.1016/S0141-0296(02)00099-8 |
| [28] | Lin, YY; Chang, KC; Chen, CY, Direct displacement-based design for seismic retrofit of existing buildings using nonlinear viscous dampers, Bull Earthq Eng, 6, 535-552 (2008) · doi:10.1007/s10518-008-9062-9 |
| [29] | Liu, HB; Zhao, JX; Qiu, C.; Zhao, SX; Yang, SH; He, F.; Chen, ZH, Seismic design of the building structure based on displacement, J Hebei Univ Eng, 31, 4, 3-6 (2001) |
| [30] | Macrae, GA; Kimura, Y.; Roeder, C., Effect of column stiffness on braced frame seismic behavior, J Struct Eng, 130, 3, 381-391 (2004) · doi:10.1061/(ASCE)0733-9445(2004)130:3(381) |
| [31] | Miranda, E., Approximate seismic lateral deformation demands in multistory buildings, J Struct Eng, 125, 4, 417-425 (1999) · doi:10.1061/(ASCE)0733-9445(1999)125:4(417) |
| [32] | Muho, EV; Qian, J.; Beskos, DE, A direct displacement-based seismic design method using a MDOF equivalent system: application to R/C framed structures, Bull Earthq Eng, 18, 4157-4188 (2020) · doi:10.1007/s10518-020-00857-5 |
| [33] | Nuzzo, I.; Losanno, D.; Caterino, N., Seismic design and retrofit of frame structures with hysteretic dampers: a simplified displacement-based procedure, Bull Earthq Eng, 17, 5, 2787-2819 (2019) · doi:10.1007/s10518-019-00558-8 |
| [34] | O’Reilly, GJ; Monteiro, R.; Nafeh, AMB; Sullivan, TJ; Calvi, GM, Displacement-based framework for simplified seismic loss assessment, J Earthq Eng, 24, sup1, 1-22 (2020) · doi:10.1080/13632469.2020.1730272 |
| [35] | Priestley, MJN, Direct displacement-based design of precast/prestressed concrete buildings, PCI J, 47, 6, 66-79 (2002) · doi:10.15554/pcij.11012002.66.79 |
| [36] | Pu, WC; Liang, RJ; Liu, CQ, Control design of building structure based on displacement and equivalent stiffness, J Struct Archit, 37, S1, 71-78 (2016) |
| [37] | Qian, JR; Lu, W., Seismic design of shear wall based on displacement ductility, J Archit Archit, 20, 3, 42-49 (1999) |
| [38] | Reggiani, MN; Vassiliou, MF, Displacement-based analysis and design of rocking structures, Earthq Eng Struct Dynam, 48, 14, 1613-1629 (2019) · doi:10.1002/eqe.3217 |
| [39] | Sahoo, DR; Prakash, A., Seismic behavior of concentrically braced frames designed using direct displacement-based method, Int J Steel Struct, 19, 1, 96-109 (2019) · doi:10.1007/s13296-018-0092-0 |
| [40] | Salem, MA; Dicleli, M., Systematic development of a new hysteretic damper based on torsional yielding: part I-design and development, Earthq Eng Struct Dynam, 45, 6, 845-867 (2016) · doi:10.1002/eqe.2684 |
| [41] | Shang, QX; Zhang, XP; Chen, X.; Wang, T., Design method of energy dissipation based on mechanical models of displacement-based dampers, J Archit Archit, 43, 7, 62-71 (2022) |
| [42] | Structural Engineers Association of California (SEAOC), (1999), Recommended lateral force requirements and commentary, Appendix I, Sacra-mento, Calif |
| [43] | Wei, B.; Xu, Y.; Li, J., Intelligent application of raw material supply chain planning system based on genetic algorithm, Wireless Commun Mobile Comput, 2022, 7, 1-13 (2022) |
| [44] | Welch, DP; Sullivan, TJ; Calvi, GM, Developing direct displacement-based procedures for simplified loss assessment in performance-based earthquake engineering, J Earthq Eng, 18, 2, 290-322 (2014) · doi:10.1080/13632469.2013.851046 |
| [45] | Wijesundara, KK; Rajeev, P., Direct displacement-based seismic design of steel concentric braced frame structures, Aust J Struct Eng, 13, 3, 243-257 (2012) |
| [46] | Yang, B.; Lu, X., Prediction and risk assessment of extreme weather events based on gumbel copula function, J Function Spaces, 2022, 7, 1-13 (2018) · doi:10.1155/2018/9569380 |
| [47] | Ye, K.; Xiao, Y.; Hu, L., A direct displacement-based design procedure for base-isolated building structures with lead rubber bearings (LRBs), Eng Struct, 197, 1-9 (2019) · doi:10.1016/j.engstruct.2019.109402 |
| [48] | Zhou, Y.; Deng, XS, Performance study of steel yield-friction composite energy dissipation device, Seismic Eng Eng Vibr, 19, 1, 5 (1999) |
| [49] | Zhu, LH, Experimental and theoretical study on shock reduction structure of new grille friction damper (2019), China: Dalian University of Technology, China |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
