Effect of Soil and Structure Nonlinear Interaction on the Efficiency of Tuned Mass Damper

Hamid Masaeli, Mehdi Panahi


In this paper, three 10, 15, and 20-story two-dimensional concrete structures have been used with a moment frame bearing system as models under analysis. First, using various time history analyses by the OpenSees software, the optimal parameters of the tuned mass damper (TMD), including frequency and mass, were obtained. Structures controlled with and without TMD were modelled on three soft, moderate, and hard soil types classified according to Code 2800. The models were analyzed in terms of time history by 7 ground motions. In order to take into account the nonlinear interaction of soil and structure, the model of the beam on nonlinear Winkler foundation has been used. The results show that nonlinear interaction in most cases reduces the efficiency of TMD. Moreover, as the soil becomes softer, the efficiency reduction of the mass damper increases.


Tuned Mass Damper; Soil and Structure Nonlinear Interaction; Winkler Model; Time History Analysis.


Farid, P., 2002. “Effects of Interaction Phenomenon on Steel Structures”. International Institute of Seismology and Earthquake Engineering, Master's thesis.

Rahimian, M. B., Kamrani Moghadam, A. K., Gorbani Tanha. “Seismic Control of Structures Using a Tuned Mass Damper” First international Conference on Seismic Retrofitting, 2007.

Mirhosseini. S. M. Farhad Behnamfar. “Effect of Soil and Structure Interaction on Nonlinear Dynamic Response of Structures”. 7th International Conference on Seismology and Earthquake Engineering, 2015.

Frahm, H., 1909. “Device for Damping Vibrations of Bodies”, US patent #989958.

Weber, Felix, Glauco Feltrin, and Olaf Huth. "Guidelines for structural control." Structural Engineering Research Laboratory, Swiss Federal Laboratories for Material Testing and Research, Dubendorf, Switzerland (2006).

Ormondroyd, J. "The theory of the dynamic vibration absorber." Trans., ASME, Applied Mechanics 50 (1928): 9-22.

Den Hartog, Jacob Pieter. Mechanical vibrations. Courier Corporation, York, McGraw-Hill, 1985.

Xu, Chaojin, and C.C. Spyrakos. “Seismic Analysis of Towers Including Foundation Uplift.” Engineering Structures 18, no. 4 (April 1996): 271–278. doi:10.1016/0141-0296(95)00059-3.

Gazetas, George, and Marios Apostolou. "Nonlinear soil–structure interaction: foundation uplifting and soil yielding." In Proceedings Third UJNR Workshop on Soil-Structure Interaction, pp. 29-30. 2004.

Zhou, F., M. Mori, and N. Fukuwa. "A New Uplift Foundation Analysis Model to Simulate Dynamic Nonlinear Soil-Structure-Interaction." In Proceedings of the 15th world conference on earthquake engineering. 2012.

Wang, Jer-Fu, and Chi-Chang Lin. “Seismic Performance of Multiple Tuned Mass Dampers for Soil–irregular Building Interaction Systems.” International Journal of Solids and Structures 42, no. 20 (October 2005): 5536–5554. doi:10.1016/j.ijsolstr.2005.02.042.

Tahghighi. H. and M. Rabiee. 2017. “Influence of Foundation Flexibility on the Seismic Response of Low-To-Mid-Rise Moment Resisting Frame Buildings”. Civil Engineering Department, University of Kashan, Kashan, 87317-51167, Iran.

Gajan, Sivapalan, Prishati Raychowdhury, Tara C. Hutchinson, Bruce L. Kutter, and Jonathan P. Stewart. “Application and Validation of Practical Tools for Nonlinear Soil-Foundation Interaction Analysis.” Earthquake Spectra 26, no. 1 (February 2010): 111–129. doi:10.1193/1.3263242.

Harden, Chad W., and Tara C. Hutchinson. “Beam-on-Nonlinear-Winkler-Foundation Modeling of Shallow, Rocking-Dominated Footings.” Earthquake Spectra 25, no. 2 (May 2009): 277–300. doi:10.1193/1.3110482.

Harden, Chad William. Numerical modeling of the nonlinear cyclic response of shallow foundations. Pacific Earthquake Engineering Research Center, 2005.

Applied Technology Council. Quantification of building seismic performance factors. US Department of Homeland Security, FEMA, 2009.

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DOI: 10.28991/cej-03091174


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