Acknowledgement
The authors would like to acknowledge the support provided by National Natural Science Foundation of China (NSFC, contract number: 51678464), and Hubei Key Laboratory of Roadway Bridge and Structure Engineering (Wuhan University of Technology) (No. DQJJ201901).
References
- Abe, M. and Fujino, Y. (1994), "Dynamic characterization of multiple tuned mass dampers and some design formulas", Earthq. Eng. Struct. Dyn., 23(8), 813-835. https://doi.org/10.1002/eqe.4290230802.
- Akehashi, H. and Takewaki, I. (2022), "Bounding of earthquake response via critical double impulse for efficient optimal design of viscous dampers for elastic-plastic moment frames", Jpn. Archit. Rev., 5(2), 131-149. https://doi.org/10.1002/2475-8876.12262.
- Akehashi, H. and Takewaki, I. (2022), "Resilience evaluation of elastic-plastic high-rise buildings under resonant long-duration ground motion", Jpn. Archit. Rev., 5(4), 373-385. https://doi.org/10.1002/2475-8876.12280.
- Baigoly, M., Shargh, F.H. and Rofooei, F.R. (2020), "A new study in designing MTMDs in SDOF and MDOF systems based on the spectral analysis method", Earthq. Struct., 19(4), 243-259. https://doi.org/10.12989/eas.2020.19.4.243.
- Brennan, M.J. and Gatti, G. (2012), "The characteristics of a nonlinear vibration neutralizer", Eng. Struct., 331(13), 3158-3171. https://doi.org/10.1016/j.jsv.2012.02.010.
- Chung, J.H., Choi, H.K., Lee, S.C. and Choi, C.S. (2011), "Shear capacity of biaxial hollow slab with donut type hollow sphere", Proc. Eng., 14, 2219-2222. https://doi.org/10.1016/j.proeng.2011.07.279.
- Churakov, A. (2014), "Biaxial hollow slab with innovative types of voids", Constr. Unique Build. Struct., 6(21), 70-88.
- Conroy, G.C. and Sideris, P. (2021), "Exploring energy harvesting and vibration mitigation in tall buildings accounting for wind and seismic loads", Eng. Struct., 247(15), 113126. https://doi.org/10.1016/j.engstruct.2021.113126.
- Daniel, Y. and Lavan, O. (2015), "Optimality criteria based seismic design of multiple tuned-mass-dampers for the control of 3D irregular buildings", Earthq. Struct., 8(1), 77-100. https://doi.org/10.12989/eas.2015.8.1.077.
- Domenico, D., Ricciardi, G. and Takewaki, I. (2019), "Design strategies of viscous dampers for seismic protection of building structures: A review", Soil Dyn. Earthq. Eng., 118, 144-165. https://doi.org/10.1016/j.soildyn.2018.12.024.
- Elias, S. and Matsagar, V. (2019), "Distributed tuned mass dampers for multi-mode control of benchmark building under seismic excitations", J. Earthq. Eng., 23(7), 1137-1172. https://doi.org/10.1080/13632469.2017.1351407.
- Farhangdoust, S., Eghbali, P. and Younesian, D. (2020), "Bistable tuned mass damper for suppressing the vortex induced vibrations in suspension bridges", Earthq. Struct., 18(3), 313-320. https://doi.org/10.12989/eas.2020.18.3.313.
- Giuseppe, O. and George, D.M. (2020), "Special issue: Base isolation in the Southern EU: Current status and research issues", Soil Dyn. Earthq. Eng., 131, 106036. https://doi.org/10.1016/j.soildyn.2020.106036.
- Toshihiro, I. and Ikeda, K. (1980), "On the houde damper for a damped vibration system", Bull. JSME, 23(176), 273-279. https://doi.org/10.1299/jsme1958.23.273.
- Takewaki, I. and Akehashi, H. (2021), "Comprehensive review of optimal and smart design of nonlinear building structures with and without passive dampers subjected to earthquake loading", Front. Built. Environ., 7, 631114. https://doi.org/10.3389/fbuil.2021.631114.
- Jankowski, R. (2005), "Non-linear viscoelastic modelling of earthquake-induced structural pounding", Earthq. Eng. Struct. Dyn., 34(6), 595-611. https://doi.org/10.1002/eqe.434.
- Jankowski, R. (2006), "Analytical expression between the impact damping ratio and the coefficient of restitution in the non-linear viscoelastic model of structural pounding", Earthq. Eng. Struct. Dyn., 35(4), 517-524. https://doi.org/10.1002/eqe.537.
- Kareem, A. and Kline, S. (1995), "Performance of multiple mass dampers under random loading", J. Struct. Eng., 121(2), 348-361. https://doi.org/10.1061/(ASCE)0733-9445(1995)121:2(348).
- Krenk, S. (2005), "Frequency analysis of the tuned mass damper", J. Appl. Mech., 72(6), 936-942. https://doi.org/10.1115/1.2062867.
- Li, S., Fu, L. and Kong, F. (2015), "Seismic response reduction of structures equipped with a voided biaxial slab-based tuned rolling mass damper", Shock Vib., 2015, 1-15. https://doi.org/10.1155/2015/760394.
- Li, S., Sun, L. and Kong, F. (2019), "Vibration control performance analysis and shake-table test of a pounding tuned rotary mass damper under the earthquake", Shock Vib., 2019, 1-14. https://doi.org/10.1155/2019/4038657.
- Lin, W., Lin, Y. and Song, G. (2016), "Multiple pounding tuned mass damper (MPTMD) control on benchmark tower subjected to earthquake excitations", Earthq. Struct., 11(6), 1123-1141. https://doi.org/10.12989/eas.2016.11.6.1123.
- Pirner, M. (2002), "Actual behaviour of a ball vibration absorber", J. Wind Eng. Ind. Aerodyn., 90(8), 987-1005. https://doi.org/10.1016/S0167-6105(02)00215-5.
- Rahman, M.S., Hassan, M.K. and Chang, S. (2016), "Adaptive multiple tuned mass dampers based on modal parameters for earthquake response reduction in multi-story buildings", Adv. Struct. Eng., 20(6), 1375-1389. https://doi.org/10.1177/1369433216678863.
- Rana, R. and Soong, T.T. (1998), "Parametric study and simplified design of tuned mass dampers", Eng. Struct., 20(3), 193-204. https://doi.org/10.1016/S0141-0296(97)00078-3.
- Rice, H.J. (1993), "Design of multiple vibration absorber systems using modal data", J. Sound Vib., 160(2), 378-385. https://doi.org/10.1006/jsvi.1993.1033.
- Schnellenbach-Held, M. and Pfeffer, K. (2002), "Punching behavior of biaxial hollow slabs", Cement Concrete Compos., 24(6), 551-556. https://doi.org/10.1016/S0958-9465(01)00071-3.
- Soong, T.T. and Dargush, G.F. (1997), Passive Energy Dissipation Systems in Structural Engineering, Wiley, London, UK.
- Xu, K. and Igusa, T. (1992), "Dynamic characteristics of multiple substructures with closely spaced frequencies", Earthq. Eng. Struct. Dyn., 21(12), 1059-1070. https://doi.org/10.1002/eqe.4290211203.
- Yamaguchi, H. and Harnpornchai, N. (1993), "Fundamental characteristics of multiple tuned mass dampers for suppressing harmonically forced oscillations", Earthq. Eng. Struct. Dyn., 22(1), 51-62. https://doi.org/10.1002/eqe.4290220105.
- Yao, J.T. (1972), "Concept of structural control", J. Struct. Div., 98(7), 1567-1574. http://doi.org/10.1061/JSDEAG.0003280.