Acknowledgement
The authors acknowledge the financial support from National Natural Science Foundation of China (Grant No. 51878502).
References
- Alabuzhev, P., Gritchin, A. and Kim, L. (1989), Vibration Protecting and Measuring Systems with Quasi-zero Stiffness, Taylor & Francis Group, New York, NY, USA.
- Blair, D.J., Liu, J., Moghaddam, E.F. and Ju, L. (1994), "Performance of an ultra low-frequency folded pendulum", Phys. Lett. A, 193(3), 223-226. https://doi.org/10.1016/0375-9601(94)90587-8
- Budiansky, B. (1974), Theory of Buckling and Post-bucking Behavior of Elastic Structures, Elsevier, New York, NY, USA.
- Carrella, A., Brennan, M.J., Kovacic, I. and Waters, T.P. (2009), "On the force transmissibility of avibration isolator with quasizero-stiffness", J. Sound Vibr., 322(4-5), 707-717. https://doi.org/10.1016/j.jsv.2008.11.034
- Chen, L., Sun, L. and Nagarajaiah, S. (2015), "Cable with discrete negative stiffness device and viscous damper: Passive realization and general characteristics", Smart. Struct. Syst., Int. J., 15(3), 627-643. http://dx.doi.org/10.12989/sss.2015.15.3.627
- Chopra, A.K. (1995), Dynamics of Structures: Theory and Applications to Earthquake Engineering, Prentice Hall, Englewood Cliffs, NJ, USA.
- Cimellaro, G.P., Domaneschi, M. and Warn, G. (2018), "Threedimensional base isolation using vertical negative stiffness devices", J. Earthqu. Eng., 1-29. https://doi.org/10.1080/13632469.2018.1493004
- Demetriades, G.F., Constantinou, M.C. and Reinhorn, A.M. (1993), "Study of wire rope systems for seismic protection of equipment in buildings", Eng. Struct., 15(5), 321-334. https://doi.org/10.1016/0141-0296(93)90036-4
- Farsangi, E.N., Tasnimi, A.A., Yang, T.Y., Takewaki, I. and Mohammadhasani, M. (2018), "Seismic performance of a resilient low-damage base isolation system under combined vertical and horizontal excitations", Smart. Struct. Syst., Int. J., 22(4), 383-397. http://dx.doi.org/10.12989/sss.2018.22.4.383
- Gazi, H. and Alhan, C. (2018), "Probabilistic sensitivity of baseisolated buildings to uncertainties", Smart. Struct. Syst., Int. J.., 22(4), 441-457. http://dx.doi.org/10.12989/sss.2018.22.4.441
- Goodwin, A.J.H. (1965), Vibration Isolators; U.S. Patent No. 3,202,388.
- Guzman Pujols, J.C. and Ryan, K.L. (2018), "Computational simulation of slab vibration and horizontal-vertical coupling in a full scale test bed subjected to 3D shaking at E-Defense", Earthq. Eng. Struct. Dyn., 47(2), 438-459. https://doi.org/10.1002/eqe.2973
- Halwes, D.R. and Simmons, W.A. (1980), U.S. Patent No. 4, 236,607.
- Hu, K., Zhou, Y., Jiang, L., Chen, P. and Qu, G. (2017), "A mechanical tension-resistant device for lead rubber bearings", Eng. Struct., 152, 238-250. https://doi.org/10.1016/j.engstruct.2017.09.006
- Kwon, I.Y., Yang, H.T., Hansma, P.K. and Randall, C.J. (2015), "Implementable bio-inspired passive negative spring actuator for full-scale structural control under seismic excitation", J. Struct. Eng., 142(1), 04015079. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001323
- Lin, T.K., Lu, L.Y. and Chen, C.J. (2018), "Semi-active leveragetype isolation system considering minimum structural energy", Smart. Struct. Syst., Int. J., 21(3), 373-387. https://doi.org/10.12989/sss.2018.21.3.373
- Loh, C.H. and Chao, C.H. (1996), "Effectiveness of active tuned mass damper and seismic isolation on vibration control of multistorey building", J. Sound Vibr. 193(4), 773-192. https://doi.org/10.1006/jsvi.1996.0315
- Lu, L., Duan, Y.F., Spencer, Jr. B.F., Lu, X.L. and Zhou, Y. (2017), "Inertial mass damper for mitigating cable vibration", Struct. Control. Health Monit., 24(10), e1986. https://doi.org/10.1002/stc.1986
- Meng, L., Sun, J. and Wu, W. (2015), "Theoretical design and characteristics analysis of a quasi-zero stiffness isolator using a disk spring as negative stiffness element", Shock Vib., 1-19. http://dx.doi.org/10.1155/2015/813763
- Pasala, D.T.R., Sarlis, A.A, Reinhorn, A.M., Nagarajaiah, S., Constantinou, M.C. and Taylor, D. (2014), "Apparent weaken in SDOF yielding structures using a negative stiffness device: Experimental and analytical study", J. Struct. Eng., 141(4), 04014130. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001077
- Platus, D.L. (1992), "Negative-stiffness-mechanism vibration isolation system", In: Vibration Control in Microelectronics, Optics, and Metrology, Denver, CO, USA.
- Rita, A.D., McGarvey, J.H. and Jones, R. (1978), "Helicopter rotor isolation evaluation utilizing the dynamic antiresonant vibration isolator", J. Am. Helicopter Soc., 23(1), 22-29. https://doi.org/10.4050/JAHS.23.22
- Rivin, E.I. (2003), Dynamic Properties of Vibration Isolation Systems, Asme Press, New York, NY, USA.
- Sarlis, A.A., Pasala, D.T.R., Constantinou, M.C., Reinhorn, A.M., Nagarajaiah, S. and Taylor, D. (2012), "Negative stiffness device for seismic protection of structures", J. Struct. Eng., 139(7), 1124-1133. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000616
- Sciulli, D. and Inman, D.J. (1998), "Isolation design for a flexible system", J. Sound Vib., 216(2), 251-267. https://doi.org/10.1006/jsvi.1998.1667
- Shi, X. and Zhu, S.Y. (2015), "Magnetic negative stiffness dampers", Smart Mater. Struct., 24(7), 072002. https://doi.org/10.1088/0964-1726/24/7/072002
- Shi, X. and Zhu, S.Y. (2017), "Simulation and optimization of magnetic negative stiffness dampers", Sens. Actuator A-Phys., 259, 14-33. https://doi.org/10.1016/j.sna.2017.03.026
- Shi, X., Zhu, S.Y., Ni, Y.Q. and Li, J. (2018), "Vibration suppression in high-speed trains with negative stiffness dampers", Smart. Struct. Syst., Int. J., 21(5), 653-668. https://doi.org/10.12989/sss.2018.21.5.653
- Tomlinson, G.R. and Worden, K. (2000), Nonlinearity in Structural Dynamics: Detection, Identification and Modelling, CRC Press, Boca Raton, FL, USA.
- Walsh, K.K., Boso, E., Steinberg, E.P., Haftman, J.T. and Littell, W.N. (2018), "Variable negative stiffness device for seismic protection of building structures through apparent weakening", J. Eng. Mech., 144(9), 04018090. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001512
- Winterflood, J. and Blair, D.G. (1998), "A long-period vertical vibration isolator for gravitational wave detection", Phys. Lett. A, 243(1-2), 1-6. https://doi.org/10.1016/S0375-9601(98)00193-5
- Winterflood, J., Losurdo, G. and Blair, D.G. (1999), "Initial results from a long-period conical pendulum vibration isolator with application for gravitational wave detection", Phys. Lett. A, 263(1-2), 9-14. https://doi.org/10.1016/S0375-9601(99)00715-X
- Zheng, Y., Li, Q., Yan, B., Luo, Y. and Zhang, X. (2018), "A stewart isolator with high-static-low-dynamic stiffness struts based on negative stiffness magnetic springs", J. Sound Vibr. 422, 390-408. https://doi.org/10.1016/j.jsv.2018.02.046
- Zhou, Y. and Chen, P. (2017), "Shaking table tests and numerical studies on the effect of viscous dampers on an isolated RC building by friction pendulum bearings", Soil Dyn. Earthq. Eng., 100, 330-344. https://doi.org/10.1016/j.soildyn.2017.06.002
- Zhou, Y., Chen, P. and Mosqueda, G. (2019), "Analytical and numerical investigation of quasi-zero stiffness vertical isolation system", J. Eng. Mech., 145(6), 04019035. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001611.