Acknowledgement
The research described in this paper was financially supported by the Natural Science Foundation of China under Grant No. 51678462, and Sanya Yazhou Bay Science and Technology City Administration Scientific research project (No. SKJC-KJ-2019 KY02).
References
- Acikgoz, S. and Dejong, M.J. (2014), "The rocking response of large flexible structures to earthquakes", Bullet. Earthq. Eng., 12(2), 875-908. https://doi.org/10.1007/s10518-013-9538-0.
- Basu, D., Whittaker, A.S. and Constantinou, M.C. (2012), "Estimating Rotational Components of Ground Motion Using Data Recorded at a Single Station", J. Eng. Mech., 138(9), 1141-1156. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000408.
- Basu, D., Whittaker, A.S. and Constantinou, M.C. (2013), "Extracting rotational components of earthquake ground motion using data recorded at multiple stations", Earthq. Eng. Struct. Dynam., 42(3), 451-468. https://doi.org/10.1002/eqe.2233.
- Basu, D., Whittaker, A.S. and Constantinou, M.C. (2015), "Characterizing rotational components of earthquake ground motion using a surface distribution method and response of sample structures", Eng. Struct., 99, 685-707. https://doi.org/10.1016/j.engstruct.2015.05.029.
- Basu, D., Whittaker, A.S. and Constantinou, M.C. (2017), "On the design of a dense array to extract rotational components of earthquake ground motion", Bullet. Earthq. Eng., 15(3), 1-34. https://DOI 10.1007/s10518-016-9992-6.
- Bonkowski, P.A., Zembaty, Z. and Minch, M.Y. (2018), "Time history response analysis of a slender tower under translationalrocking seismic excitations", Eng. Struct., 155, 387-393. https://doi.org/10.1016/j.engstruct.2017.11.042.
- Bouchon, M. and Aki, K. (1982), "Strain, tilt, and rotation associated with strong ground motion in the vicinity of earthquake faults", Bullet. Seismological Soc. America, 72(5), 1717-1738. https://doi.org/10.1785/BSSA0720051717.
- Castellani, A. and Boffi, G. (1986), "Rotational components of the surface ground motion during an earthquake", Earthq. Eng. Struct. Dynam., 14(5), 751-767. https://doi.org/10.1002/eqe.4290140506.
- Che, W. and Luo, Q. (2010), "Time-frequency response spectrum of rotational ground motion and its application", Earthq. Sci., 23(1), 71-77. https://doi.org/ 10.1007/s11589-009-0078-2.
- Chi, W., Lee, W., Lin, C., Aston, J.A. and Liu, G. (2011), "Inversion of Ground Motion Data from a Seismometer Array for Rotation using a Modification of Jeager's Method", Bullet. Seismological Soc. America, 101(6), 3105-3109. https://doi.org/10.1785/0120100204.
- EC8.6 EN 1998-6 (2005), Design of structures for earthquake resistance,Part 6:Towels, masts and chimneys, European Committee for Standardization Management Centre; Brussel, Belgium.
- Elnashai, A.S. and Papazoglou, A.J. (1997), "Procedure and spectra for analysis of rc structures subjected to strong vertical earthquake loads", J. Earthq. Eng., 1(1), 121-155. https://doi.org/10.1080/13632469708962364.
- Fajardo, K.C.M. and Papageorgiou, A.S. (2018), "Response of tall buildings to base rocking induced by Rayleigh waves", Earthq. Eng. Struct. Dynam., 47(8), 1755-1773. https://doi.org/10.1002/eqe.3040.
- Falamarz-Sheikhabadi, M.R. (2014), "Simplified relations for the application of rotational components to seismic design codes", Eng. Struct., 59(2), 141-152. https://doi.org/10.1016/j.engstruct.2013.10.035.
- Falamarz-Sheikhabadi, M.R. and Ghafory-Ashtiany, M. (2012), "Approximate formulas for rotational effects in earthquake engineering", J. Seismology, 16(4), 815-827. https://doi.org/10.1007/s10950-012-9273-z.
- Falamarz-Sheikhabadi, M.R. and Ghafory-Ashtiany, M. (2015), "Rotational components in structural loading", Soil Dynam. Earthq. Eng., 75, 220-233. https://doi.org/10.1016/j.soildyn.2015.04.012.
- GB 50011-2010 (2016), Code of Seismic Design of Buildings (2016 Edition), China Building Industry Press, Beijing, China.
- Graizer, V. (2006), "Tilts in strong ground motion", Bullet. Seismological Soc. America, 96(6), 2090-2102. https://doi.org/10.1785/0120060065.
- Graizer, V. (2009), "Review Article: tutorial on measuring rotations using multipendulum systems", Bullet. Seismological Soc. America, 99(2B), 1064-1072. https://doi.org/10.1785/0120080145.
- Graizer, V. and Kalkan, E. (2008), "Response of pendulums to complex input ground motion", Soil Dynam. Earthq. Eng., 28(8), 621-631. https://doi.org/10.1016/j.soildyn.2007.09.003.
- Graizer, V. and Kalkan, E. (2009), "Prediction of spectral acceleration response ordinates based on PGA attenuation", Earthq. Spectra, 25(1), 39-69. https://doi.org/10.1193/1.3043904.
- Hongnan, L. and Qianxin, W. (1991), "Response analysis of the system consisting of long span transmission lines and their supporting towers to horizontal and rocking seismic motions", Eng. Mech., 8(4), 68-79.
- Kalkan, E. and Graizer, V. (2007), "Coupled tilt and translational ground motion response spectra", J. Struct. Eng., 133(5), 609-619. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:5(609).
- Lee, V.W. and Trifunac, M.D. (1985), "Torsional accelerograms", J. Soil Dynam. Earthq. Eng., 4(3), 132-139. https://doi.org/10.1016/0261-7277(85)90007-5.
- Li, H., Suarez, L.E. and Singh, M.P. (1997), "Rotational components of earthquake ground motions", Earthq. Eng. Eng. Vib., 17, 37-50.
- Li, H.N., Sun, L.Y. and Wang, S.Y. (2004), "Improved approach for obtaining rotational components of seismic motion", Nuclear Eng. Design, 232(2), 131-137. https://doi.org/10.1016/j.nucengdes.2004.05.002.
- Nazarov, Y.P., Poznyak, E. and Filimonov, A.V. (2015), "A brief theory and computing of seismic ground rotations for structural analyses", Soil Dynam. Earthq. Eng., 71, 31-41. https://doi.org/10.1016/j.soildyn.2015.01.013.
- Nazarov, Y.P. and Poznyak, E.V. (2016), "Estimate of Rotational Components of Seismic Ground Motion", Soil Mech. Foundation Eng., 52(6), 355-360. https://doi.org/10.1007/s11204-016-9353-0.
- Newmark, N.M. (1969), "Torsion in symmetrical buildings", Proceedings of Fourth World Conference on Earthquake Engineering, Santiago, January.
- Rodda, G.K. and Basu, D. (2018), "Coherency model for translational and rotational ground motions", Bullet. Earthq. Eng., 16(7), 2687-2710. https://doi.org/10.1007/s10518-017-0304-6.
- Rutenberg, A. and Heidebrecht, A.C. (1985), "Rotational ground motion and seismic codes", Canadian J. Civil Eng., 12(3), 583-592. https://doi.org/10.1139/L85-066.
- Sarokolayi, L.K., Neya, B.N. and Amiri, J.V. (2015), "Nonlinear dynamic analysis of concrete gravity dams considering rotational component of ground motion", J. Civil Eng., 13(1), 16-29. https://doi.org/10.22068/IJCE.13.1.16.
- Teisseyre, R. (1973), "Earthquake processes in a micromorphic continuum", Pure Appl. Geophys., 102(1), 15-28. https://doi.org/10.1007/BF00876588.
- Tiejian, L., Fang, L. and Zhiwu, Y. (2006), "Random response of high-layer structures in combined action of horizontal and rocking ground motions", J. Central South University, 37(3), 623-627. https://doi.org/10.13197/j.eeev.2021.06.33.zhaojg.004.
- Xiaobo, P. and Xiaojun, L. (2012), "Study of ground surface tilts from strong motion records of the Wenchuan earthquake", J. Seismology, 34(1), 64-75.
- Yin, J., Nigbor, R.L., Chen, Q. and Steidl, J. (2016), "Engineering analysis of measured rotational ground motions at GVDA", Soil Dynam. Earthq. Eng., 87, 125-137. https://doi.org/10.1016/j.soildyn.2016.05.007.
- WeiWenhui, XueGuangwen, Zhang Di. (2015), "Rotational components of ground motion based on wavelet analysis", Chinese J. Geotechnical Eng., 37(7), 1241-1248. https://doi.org/10.11779/CJGE201507010.
- Zembaty, Z. (2009), "Tutorial on surface rotations from wave passage effects: stochastic spectral approach", Bullet. Seismological Soc. America, 99(2B), 1040-1049. https://doi.org/10.1785/0120080102.