References
- Abramowitz, M., and I. A. Stegun. 1972. Handbook of mathematical functions with formulas, graphs, and mathematical tables. New York: Dover.
- Apsel, R. J., and J. E. Luco. 1976. Torsional response of rigid embedded foundation. Journal of the Engineering Mechanics, ASCE 102 (7): 957–70.
- Bernal, D. 1999. A dynamic stiffness formulation for the analysis of secondary systems. Earthquake Engineering and Structural Dynamics 28 (11): 1295–308. doi: https://doi.org/10.1002/(SICI)1096-9845(199911)28:11<1295::AID-EQE867>3.0.CO;2-2.
- Bi, J. H., L. F. Luo, and N. Jiang. 2019. Seismic energy response analysis of equipment-structure system via real-time dynamic substructuring shaking table testing. Advances in Structural Engineering. doi: https://doi.org/10.1177/1369433219864458.
- Chaudhuri, S. R., and R. Villaverde. 2008. Effect of building nonlinearity on seismic response of nonstructural components: A parametric study. Journal of Structural Engineering, ASCE 134 (4): 661–70. doi: https://doi.org/10.1061/(ASCE)0733-9445(2008)134:4(661).
- Chen, S. L., L. Z. Chen, and E. Pan. 2007. Vertical vibration of a flexible plate with rigid core on saturated ground. Journal of Engineering Mechanics 133 (3): 326–37. doi: https://doi.org/10.1061/(ASCE)0733-9399(2007)133:3(326).
- Chen, S. S., and J. G. Hou. 2009. Modal analysis of circular flexible foundations under vertical vibration. Soil Dynamics and Earthquake Engineering 29 (5): 898–908. doi: https://doi.org/10.1016/j.soildyn.2008.10.004.
- Chen, Y., and T. T. Soong. 1988. State-of-the-art-review: Seismic response of secondary systems. Engineering Structures 10 (4): 218–28. doi: https://doi.org/10.1016/0141-0296(88)90043-0.
- Elias, S., and V. Matsagar. 2017. Research developments in vibration control of structures using passive tuned mass dampers. Annual Reviews in Control 44: 129–56. doi: https://doi.org/10.1016/j.arcontrol.2017.09.015.
- Filiatrault, A., and T. Sullivan. 2014. Performance-based seismic design of nonstructural building components: The next frontier of earthquake engineering. Earthquake Engineering and Engineering Vibration 13 (S1): 17–46. doi: https://doi.org/10.1007/s11803-014-0238-9.
- Gaitanaros, A. P., and D. L. Karabalis. 1988. Dynamic analysis of 3-D flexible embedded foundations by a frequency domain BEM-FEM. Earthquake Engineering and Structural Dynamics 16 (5): 653–74. doi: https://doi.org/10.1002/eqe.4290160503.
- Gaur, S., S. Elias, T. Hobbel, A. V. Matsagar, and K. Klaus Thiele. 2020. Tuned mass dampers in wind response control of wind turbine with soil-structure interaction. Soil Dynamics and Earthquake Engineering 132: 106071. doi: https://doi.org/10.1016/j.soildyn.2020.106071.
- Giordano, N., F. D. Luca, and A. Sextos. 2020. Out-of-plane closed-form solution for the seismic assessment of unreinforced masonry schools in Nepal. Engineering Structures 203: 109548. doi: https://doi.org/10.1016/j.engstruct.2019.109548.
- Graff, K. F. 1975. Wave motion in elastic solids. London: Clarendon Press Oxford.
- Gucunski, N. 1996. Rocking response of flexible circular foundations on layered media. Soil Dynamics and Earthquake Engineering 15 (8): 485–97. doi: https://doi.org/10.1016/S0267-7261(96)00029-2.
- Gucunski, N., and R. Peek. 1993. Parametric study of vertical vibrations of circular flexible foundations on layered media. Earthquake Engineering and Structural Dynamics 22 (8): 685–94. doi: https://doi.org/10.1002/eqe.4290220804.
- Gupta, V. K. 1997. Acceleration transfer function of secondary systems. Journal of Engineering Mechanics, ASCE 123 (7): 678–85. doi: https://doi.org/10.1061/(ASCE)0733-9399(1997)123:7(678).
- Hayir, A., M. I. Todorovska, and M. D. Trifunac. 2001. Antiplane response of a dike with flexible soil-structure interface to incident SH waves. Soil Dynamics and Earthquake Engineering 21 (7): 603–13. doi: https://doi.org/10.1016/S0267-7261(01)00035-5.
- Hudson, D. E. 1977. Dynamic test of full-scale structures. Journal of the Engineering Mechanics Division, ASCE 103: 1141–57.
- Iguchi, M., and J. E. Luco. 1981. Dynamic response of flexible rectangular foundations on an elastic half-space. Earthquake Engineering and Structural Dynamics 9 (3): 239–49. doi: https://doi.org/10.1002/eqe.4290090305.
- Iguchi, M., and J. E. Luco. 1982. Vibration of flexible plate on viscoelastic medium. Journal of the Engineering Mechanics Division, ASCE 108 (6): 1103–20.
- Jin, L. G., and J. W. Liang. 2018. The effect of foundation flexibility variation on system response of dynamic soil-structure interaction: An analytical solution. Bulletin of Earthquake Engineering 16 (1): 113–27. doi: https://doi.org/10.1007/s10518-017-0212-9.
- Jin, L. G., and J. W. Liang. 2019. Dynamic soil-structure interaction with a flexible foundation embedded in a half-space: Closed-form analytical solution for incident plane SH waves. Journal of Earthquake Engineering. doi: https://doi.org/10.1080/13632469.2019.1586802.
- Jin, L. G., G. L. Tang, and J. W. Liang. 2019. Dynamic soil-structure-equipment interaction (I): Closed-form analytical solution for incident plane SH wave based on rigid foundation model. Journal of Earthquake Engineering. doi: https://doi.org/10.1080/13632469.2019.1633972.
- Khodaie, N. 2020. Vibration control of super-tall buildings using combination of tapering method and TMD system. Journal of Wind Engineering and Industrial Aerodynamics 196: 104031. doi: https://doi.org/10.1016/j.jweia.2019.104031.
- Kodakkal, A., P. Jagtap, and V. Matsagar. 2020. Stochastic response of primary–secondary coupled systems under uncertain ground excitation using generalized polynomial chaos method. In Handbook of probabilistic models, ed. P. Samui, et al., 383–435. Oxford: Butterworth-Heinemann Elsevier Ltd.
- Lai, M. L., and T. T. Soong. 1991. Seismic design considerations for secondary structural systems. Journal of Engineering Mechanics, ASCE 117 (2): 459–72.
- Lee, V. W. 1979. Investigation of three-dimensional soil-structure interaction. Report CE-79-11. University of Southern California, Los Angeles.
- Liang, J. W., L. G. Jin, M. I. Todorovska, and M. D. Trifunac. 2016. Soil-structure interaction for a SDOF oscillator supported by a flexible foundation embedded in a half-space: Closed-form solution for incident plane SH-waves. Soil Dynamics and Earthquake Engineering 90: 287–98. doi: https://doi.org/10.1016/j.soildyn.2016.08.022.
- Liang, J. W., H. Zhang, and V. W. Lee. 2003. A series solution for surface motion amplification due to underground group cavities: Incident SV waves. Earthquake Engineering and Engineering Vibration 2 (2): 289–98. doi: https://doi.org/10.1007/s11803-003-0012-x.
- Lin, Y. J. 1978. Dynamic response of circular plates resting on viscoelastic half space. Journal of Applied Mechanics, ASME 45 (2): 379–84. doi: https://doi.org/10.1115/1.3424306.
- Liou, G. S., and P. H. Huang. 1994. Effect of flexible on impedance functions for circular foundation. Journal of Engineering Mechanics 120 (7): 1429–46. doi: https://doi.org/10.1061/(ASCE)0733-9399(1994)120:7(1429).
- Luco, J. E. 1969. Dynamic interaction of a shear wall with the soil. Journal of the Engineering Mechanics, ASCE 95: 333–46.
- Luco, J. E., H. L. Wong, and M. D. Trifunac. 1975. A note on the dynamic response of rigid embedded foundations. Earthquake Engineering and Structural Dynamics 4 (2): 119–27. doi: https://doi.org/10.1002/eqe.4290040203.
- Masri, S. F., and J. P. Caffrey. 2020. Response of a multi-degree-of-freedom system with a pounding vibration neutralizer to harmonic and random excitation. Journal of Sound and Vibration 481: 115427. doi: https://doi.org/10.1016/j.jsv.2020.115427.
- Merino, R. J., D. Perrone, and A. Filiatrault. 2020. Consistent floor response spectra for performance‐based seismic design of nonstructural elements. Earthquake Engineering and Structural Dynamics 49 (3): 261–84. doi: https://doi.org/10.1002/eqe.3236.
- O’Reilly, G. J., D. Perrone, M. Fox, R. Monteiro, and A. Filiatrault. 2018. Seismic assessment and loss estimation of existing school buildings in Italy. Engineering Structures 168 (1): 142–62. doi: https://doi.org/10.1016/j.engstruct.2018.04.056.
- Perrone, D., E. Brunesi, A. Filiatrault, and N. Roberto. 2020. Probabilistic estimation of floor response spectra in masonry infilled reinforced concrete building portfolio. Engineering Structures 202: 109842. doi: https://doi.org/10.1016/j.engstruct.2019.109842.
- Perrone, D., P. M. Calvi, R. Nascimbene, E. C. Fischer, and G. Magliulo. 2018. Seismic performance of non-structural elements during the 2016 central italy earthquake. Bulletin of Earthquake Engineering. doi: https://doi.org/10.1007/s10518-018-0361-5.
- Rajapakse, R. K. N. D. 1989. Dynamic response of elastic plates on viscoelastic half space. Journal of Engineering Mechanics 115 (9): 1867–81. doi: https://doi.org/10.1061/(ASCE)0733-9399(1989)115:9(1867).
- Salman, K., T. T. Tran, and D. Kim. 2020. Grouping effect on the seismic response of cabinet facility considering primary-secondary structure interaction. Nuclear Engineering and Technology 52 (6): 1318–26. doi: https://doi.org/10.1016/j.net.2019.11.024.
- Soong, T. T. Seismic behavior of nonstructural elements state-of-the-art report. Proceedings of 10th European Conference on Earthquake Engineering, Vienna, Austria, 1995.
- Suarez, L. E., and M. P. Singh. 1987. Seismic response of SDF equipment-structure system. Journal of Engineering Mechanics, ASCE 113 (1): 16–30. doi: https://doi.org/10.1061/(ASCE)0733-9399(1987)113:1(16).
- Todorovska, M. I., A. Hayir, and M. D. Trifunac. 2001. Antiplane response of a dike on flexible embedded foundation to incident SH-waves. Soil Dynamics and Earthquake Engineering 21 (7): 593–601. doi: https://doi.org/10.1016/S0267-7261(01)00036-7.
- Todorovska, M. I., S. S. Ivanovic, and M. D. Trifunac. 2001a. Wave propagation in a seven-story reinforced concrete building. Theoretical models. Soil Dynamics and Earthquake Engineering 21 (3): 211–23. doi: https://doi.org/10.1016/S0267-7261(01)00003-3.
- Todorovska, M. I., S. S. Ivanovic, and M. D. Trifunac. 2001b. Wave propagation in a seven-story reinforced concrete building. Observed wavenumbers. Soil Dynamics and Earthquake Engineering 21 (3): 225–36. doi: https://doi.org/10.1016/S0267-7261(01)00004-5.
- Todorovska, M. I., and M. D. Trifunac. 1990. Analytical model for in plane building-foundation-soil interaction: Incident P- SV- and Rayleigh waves. Report CE-90. University of Southern California: Los Angeles.
- Todorovska, M. I., and M. D. Trifunac. 1992. The system damping, the system frequency and the system response peak amplitudes during in-plane building-soil interaction. Earthquake Engineering and Structural Dynamics 21 (2): 127–44. doi: https://doi.org/10.1002/eqe.4290210203.
- Trifunac, M. D. 1972. Dynamic interaction of a shear wall with the soil for incident plane SH waves. Bulletin of Seismology Society of America 62: 62–83.
- Trifunac, M. D., S. S. Ivanovic, M. I. Todorovska, E. I. Novikova, and A. A. Gladkov. 1999. Experimental evidence for flexible of a building foundation supported by concrete friction piles. Soil Dynamics and Earthquake Engineering 18 (3): 169–87. doi: https://doi.org/10.1016/S0267-7261(98)00046-3.
- Villaverde, R. 1986. Simplified seismic analysis of secondary systems. Journal of Structural Engineering, ASCE 112 (3): 588–604. doi: https://doi.org/10.1061/(ASCE)0733-9445(1986)112:3(588).
- Villaverde, R. 1997. Method to improve seismic provisions for nonstructural components in buildings. Journal of Structural Engineering, ASCE 123 (4): 432–39. doi: https://doi.org/10.1061/(ASCE)0733-9445(1997)123:4(432).
- Villaverde, R. 2008. Simple method to estimate the seismic nonlinear response of nonstructural components in buildings. Engineering Structures 28 (8): 1209–21. doi: https://doi.org/10.1016/j.engstruct.2005.11.016.
- Vukobratović, V., and P. Peter Fajfar. 2016. A method for the direct estimation of floor acceleration spectra for elastic and inelastic MDOF structures. Earthquake Engineering and Structural Dynamics 45 (15): 2495–511. doi: https://doi.org/10.1002/eqe.2779.
- Wang, L. K., W. X. Shi, Q. W. Zhang, and Y. Ying Zhou. 2020. Study on adaptive-passive multiple tuned mass damper with variable mass for a large-span floor structure. Engineering Structures 209: 110010. doi: https://doi.org/10.1016/j.engstruct.2019.110010.
- Wang, Y., R. K. N. D. Rajapakse, and A. H. Shah. 1991. Dynamic interaction between flexible strip foundations. Earthquake Engineering and Structural Dynamics 20 (5): 441–54. doi: https://doi.org/10.1002/eqe.4290200505.
- Wong, H. L., and J. E. Luco. 1975. Two-dimensional, antiplane, building-soil-building interaction for two or more buildings and for incident plane SH waves. Bulletin of the Seismological Society of America 65 (6): 1863–85.
- Wong, H. L., J. E. Luco, and M. D. Trifunac. 1977. Contact stresses and ground motion generated by soil–structure interaction. Earthquake Engineering and Structural Dynamics 5 (1): 67–79. doi: https://doi.org/10.1002/eqe.4290050106.
- Wong, H. L., and M. D. Trifunac. 1974. Interaction of a shear wall with the soil for incident plane SH waves: Elliptical rigid foundation. Bulletin of the Seismological Society of America 64: 1825–42.
- Yang, Y. B., and W. H. Huang. 1998. Equipment-structure interaction considering the effect of torison and base isolation. Earthquake Engineering and Structural Dynamics 22 (2): 113–28. doi: https://doi.org/10.1002/eqe.4290220203.
- Zhang, N., Y. Zhang, Y. F. Gao, Y. S. Ronald, W. Y. X. Pak, and F. Zhang. 2019a. An exact solution for SH-wave scattering by a radially multi-layered inhomogeneous semi-cylindrical canyon. Geophysical Journal International 217 (2): 1232–60. doi: https://doi.org/10.1093/gji/ggz083.
- Zhang, N., Y. Zhang, Y. F. Gao, Y. S. Ronald, and Y. J. Pak. 2019b. Site amplification effects of a radially multi-layered semi-cylindrical canyon on seismic response of an earth and rock fill dam. Soil Dynamics and Earthquake Engineering 116 (1): 145–63. doi: https://doi.org/10.1016/j.soildyn.2018.09.014.