REFERENCES
1. Zhang X, Far H. Effects of dynamic soil-structure interaction on seismic behaviour of high-rise buildings. Bull Earthq Eng 2022;20:3443-67.
2. Han SR, Nam MJ, Seo CG, Lee SH. Soil-structure interaction analysis for base-isolated nuclear power plants using an iterative approach. J Earthq Eng Soc Korea 2015;19:21-8.
3. Zuo H, Bi K, Hao H. Dynamic analyses of operating offshore wind turbines including soil-structure interaction. Eng Struct 2018;157:42-62.
4. Cao J. Dynamic characteristic analysis considering of pile-soil-superstructure interaction based on long-span cable-stayed bridge. Appl Mech Mater 2012;178-81:2497-500.
5. Wu WH, Lee WH. Nested lumped-parameter models for foundation vibrations. Earthq Eng Struct Dyn 2004;33:1051-8.
6. Wang J, Zhou D, Liu W, Wang S. Nested lumped-parameter model for foundation with strongly frequency-dependent impedance. J Earthq Eng 2016;20:975-91.
7. Sun Y, Zhou D, Amabili M, Wang J, Han H. Liquid sloshing in a rigid cylindrical tank equipped with a rigid annular baffle and on soil foundation. Int J Str Stab Dyn 2020;20:2050030.
8. Liu T, Zhao C. Finite element modeling of wave propagation problems in multilayered soils resting on a rigid base. Comput Geotech 2010;37:248-57.
9. Ruge P, Trinks C, Witte S. Time-domain analysis of unbounded media using mixed-variable formulations. Earthq Eng Struct Dyn 2001;30:899-925.
10. Cazzani A, Ruge P. Numerical aspects of coupling strongly frequency-dependent soil-foundation models with structural finite elements in the time-domain. Soil Dyn Earthq Eng 2012;37:56-72.
11. Cazzani A, Ruge P. Rotor platforms on pile-groups running through resonance: a comparison between unbounded soil and soil-layers resting on a rigid bedrock. Soil Dyn Earthq Eng 2013;50:151-61.
12. Cazzani A, Ruge P. Symmetric matrix-valued transmitting boundary formulation in the time-domain for soil-structure interaction problems. Soil Dyn Earthq Eng 2014;57:104-20.
13. Cazzani A, Ruge P. Stabilization by deflation for sparse dynamical systems without loss of sparsity. Mech Syst Signal Process 2016;70-1:664-81.
14. Zhao M, Du X. Stability and identification for rational approximation of foundation frequency response: discrete-time recursive evaluations. Eng Mech 2010;27:141-7. Available from: https://www.engineeringmechanics.cn/en/article/id/883 [Last accessed on 31 Jan 2024]
15. Du X, Zhao M. Stability and identification for rational approximation of foundation frequency response: continuous-time lumped-parameter models. Eng Mech 2009;26:76-084. Available from: https://www.engineeringmechanics.cn/en/article/id/815 [Last accessed on 31 Jan 2024]
16. Wolf JP, Somaini DR. Approximate dynamic model of embedded foundation in time domain. Earthq Eng Struct Dyn 1986;14:683-703.
17. Wolf JP. Consistent lumped-parameter models for unbounded soil: physical representation. Earthq Eng Struct Dyn 1991;20:11-32.
18. Wu WH, Lee WH. Systematic lumped-parameter models for foundations based on polynomial-fraction approximation. Earthq Eng Struct Dyn 2002;31:1383-412.
19. Şafak E. Time-domain representation of frequency-dependent foundation impedance functions. Soil Dyn Earthq Eng 2006;26:65-70.
20. Wang H, Liu W, Zhou D, Wang S, Du D. Lumped-parameter model of foundations based on complex Chebyshev polynomial fraction. Soil Dyn Earthq Eng 2013;50:192-203.
21. Wolf JP, Motosaka M. Recursive evaluation of interaction forces of unbounded soil in the time domain from dynamic-stiffness coefficients in the frequency domain. Earthq Eng Struct Dyn 1989;18:365-76.
22. Paronesso A, Wolf JP. Recursive evaluation of interaction forces and property matrices from unit-impulse response functions of unbounded medium based on balancing approximation. Earthq Eng Struct Dyn 1998;27:609-18. Available from: https://ui.adsabs.harvard.edu/abs/1998EESD...27..609P/abstract [Last accessed on 31 Jan 2024]
23. Wang P, Zhao M, Li H, Du X. An accurate and efficient time-domain model for simulating water-cylinder dynamic interaction during earthquakes. Eng Struct 2018;166:263-73.
24. Du X, Zhao M. Stability and identification for rational approximation of frequency response function of unbounded soil. Earthq Eng Struct Dyn 2010;39:165-86.
25. Laudon AD, Kwon OS, Ghaemmaghami AR. Stability of the time-domain analysis method including a frequency-dependent soil-foundation system. Earthq Eng Struct Dyn 2015;44:2737-54.
26. Gash R, Esmaeilzadeh Seylabi E, Taciroglu E. Implementation and stability analysis of discrete-time filters for approximating frequency-dependent impedance functions in the time domain. Soil Dyn Earthq Eng 2017;94:223-33.
27. Lesgidis N, Kwon OS, Sextos A. A time-domain seismic SSI analysis method for inelastic bridge structures through the use of a frequency-dependent lumped parameter model. Earthq Eng Struct Dyn 2015;44:2137-56.
28. Saitoh M. Simple model of frequency-dependent impedance functions in soil-structure interaction using frequency-independent elements. J Eng Mech 2007;133:1101-14.
29. Saitoh M. On the performance of lumped parameter models with gyro-mass elements for the impedance function of a pile-group supporting a single-degree-of-freedom system. Earthq Eng Struct Dyn 2012;41:623-41.
30. Zhao M, Li H, Du X, Wang P. Time-domain stability of artificial boundary condition coupled with finite element for dynamic and wave problems in unbounded media. Int J Comput Methods 2019;16:1850099.
31. Tao CS, Chang CH, Han KW. Gain margins and phase margins for multivariable control systems with adjustable parameters. Int J Control 1991;54:435-52.
32. Tang Z, Dietz M, Hong Y, Li Z. Performance extension of shaking table-based real-time dynamic hybrid testing through full state control via simulation. Struct Control Health Monit 2020;27:e2611.
33. Hong Y, Tang Z, Liu H, Li Z, Du X. Gain-margin based discrete-continuous method for the stability analysis of real-time hybrid simulation systems. Soil Dyn Earthq Eng 2021;148:106776.
34. Vaidyanathan PP. Generalizations of the sampling theorem: Seven decades after Nyquist. IEEE Trans Circuits Syst I 2001;48:1094-109.