LQG vibration control effectiveness of an electric active mass damper considering soil–structure interaction

  • Sofiane Allaoua
  • Lakhdar Guenfaf


The design of an electric active mass dampers (AMD) system requires the knowledge of the structure properties behavior and the soil where it is installed. These properties must be accurate to ensure the effectiveness of the AMD. In the previous works, the researchers consider that the structure is constructed on fixed-base. If the structure is constructed on soft soil, the properties of the structure can change due to the soil–structure interaction (SSI) effect. This, can lead to a considerable effect on the performance of the AMD system. This paper evaluates the LQG vibration control effectiveness of an electric active mass damper considering SSI effects for buildings subjected to seismic excitation. Dynamic model of a multi-story building including the AMD system and considering SSI effect is developed. The SSI analysis is performed using the substructure method. To control the electric AMD, a Linear Quadratic Gaussian algorithm is adopted. A five-story concrete building subjected to the El Centro earthquake excitation is used as a model structure. Different types of soils are considered. Simulation results show that the SSI leads to a considerable effect on the vibration control effectiveness of the electric AMD. Consequently, in the design of electric types AMD, the consideration of SSI become very important when the structure is constructed on soft soil.


Active control Electric active mass damper Structural dynamic Soil–structure interaction LQG control Seismic excitation 


  1. 1.
    Cheng FY, Jiang H, Lou K (2008) Smart structures innovative systems for seismic response. Taylor & Francis Group, LLC, LondonCrossRefGoogle Scholar
  2. 2.
    Aly M (2014) Vibration control of high-rise buildings for wind: a robust passive and active tuned mass damper. Smart Struct Syst 13:473–500CrossRefGoogle Scholar
  3. 3.
    Lee C-L, Wang Y-P (2004) Seismic structural control using an electric servomotor active mass driver system. Earthq Eng Struct Dyn 33:737–754CrossRefGoogle Scholar
  4. 4.
    Nakamura Y, Tanaka K, Nakayama M, Fujita T (2001) Hybrid mass dampers using two types of electric servomotors: AC servomotors and linear-induction servomotors. Earthq Eng Struct Dyn 30:1719–1743CrossRefGoogle Scholar
  5. 5.
    Hui L, Suzuki B (1998) Experimental study on active structural control with AMD. J Vib Eng 12(2):223–228Google Scholar
  6. 6.
    Ou J, Wang G, Tian S (2002) Experimental research on AMD control of structural vibration of offshore platform. High Technol Lett 10:85–90Google Scholar
  7. 7.
    Givens MJ (2013) Dynamic soil–structure interaction of instrumented buildings and test structures. UCLA Electronics Theses and Dissertation, University of California Los AngelesGoogle Scholar
  8. 8.
    Datta TK (2010) Seismic analysis of structure. WileyGoogle Scholar
  9. 9.
    Chowdhury I, Dasgupta SP (2009) Dynamics of structure and foundation: a unified approach. CRC Press, BalkemaGoogle Scholar
  10. 10.
    Cruz C, Miranda E (2017) Evaluation of soil-structure interaction effects on the damping ratios of buildings subjected to earthquakes. Soil Dyn Earthq Eng 100:183–195CrossRefGoogle Scholar
  11. 11.
    Wong HL (1985) Dynamic soil-structure interaction. Prentice-Hall, Englewood CliffsGoogle Scholar
  12. 12.
    Joy P, Kuriakose B, Mathew M (2017) Pushover analysis of buildings considering soil–structure interaction. In: Applied Mechanics and materials, vol 857, pp 189–194Google Scholar
  13. 13.
    Dobry R, Gazetas G (1986) Dynamic response of arbitrary shape foundations. J Geotech Eng 112(2):109–135CrossRefGoogle Scholar
  14. 14.
    Spyrakos C, Maniatakis C, Koutromanos I (2009) Soil-structure interaction effects on base-isolated buildings founded on soil stratum. Eng Struct 31:729–737CrossRefGoogle Scholar
  15. 15.
    Lin C-C, Chang C-C, Wang J-F (2010) Active control of irregular buildings considering soil-structure interaction effects. Soil Dyn Earthq Eng 30:98–109CrossRefGoogle Scholar
  16. 16.
    Zhang Z, Wei H, Qin X (2017) Experimental study on damping characteristics of soil-structure interaction system based on shaking table test. Soil Dyn Earthq Eng 98:183–190CrossRefGoogle Scholar
  17. 17.
    Dutta SC, Bhattacharya K, Roy R (2004) Response of low-rise buildings under seismic ground excitation incorporating soil-structure interaction. Soil Dyn Earthq Eng 24:893–914CrossRefGoogle Scholar
  18. 18.
    Yoshida N (2015) Seismic ground response analysis. Springer, DordrechtCrossRefGoogle Scholar
  19. 19.
    Smith A, Wu W-H (1997) Effective optimal structural control of soil-structure interaction systems. Earthq Eng Struct Dyn 26:549–570CrossRefGoogle Scholar
  20. 20.
    Tabatabaiefar HR, Massumi A (2010) A simplified method to determine seismic responses reinforced concrete moment resisting building frames under influence of soil–structure interaction. Soil Dyn Earthq Eng 30:1259–1267CrossRefGoogle Scholar
  21. 21.
    Tabatabaiefar SHR, Fatahi B, Samali B (2013) Numerical and experimental investigations on seismic response of building frames under influence of soil-structure interaction. Adv Struct Eng 17:109–130CrossRefGoogle Scholar
  22. 22.
    Wu J, Chen G, Lou M (1999) Seismic effectiveness of tuned mass dampers considering soil-structure interaction. Earthq Eng Struct Dyn 28:1219–1233CrossRefGoogle Scholar
  23. 23.
    Ghosh A, Basu B (2005) Effect of soil interaction on the performance of liquid column dampers for seismic applications. Earthq Eng Struct Dyn 34:1375–1389CrossRefGoogle Scholar
  24. 24.
    Carbonari S, Morici M, Dezi F, Gara F, Leoni G (2017) Soil-structure interaction effects in single bridge piers founded on inclined pile groups. Soil Dyn Earthq Eng 92:52–67CrossRefGoogle Scholar
  25. 25.
    Enrique Luco J (1998) A simple model for structural control including soil-structure interaction effects. Earthq Eng Struct Dyn 27:225–242CrossRefGoogle Scholar
  26. 26.
    Zhang C, Wolf J (1998) Dynamic soil-structure interaction. Current research in China and Switzerland. Elsevier, New YorkGoogle Scholar
  27. 27.
    Mansour G, François C (1983) Frequency-independent impedances of soil-structure systems in horizontal and rocking modes. Earthq Eng Struct Dyn 11:523–540CrossRefGoogle Scholar
  28. 28.
    Khalil L, Khalil M, Shahrour I (2007) Influence of the soil-structure interaction on the fundamental period of buildings. Earthq Eng Struct Dyn 36:2445–2453CrossRefGoogle Scholar
  29. 29.
    Ostertag E (2011) Mono- and multivariable control and estimation, linear, quadratic and LMI methods. Springer, HeidelbergCrossRefzbMATHGoogle Scholar
  30. 30.
    Tabatabaiefar SHR, Fatahi B, Samali B (2013) Lateral seismic response of building frames considering dynamic soil-structure interaction effects. Struct Eng Mech 45:311–321CrossRefGoogle Scholar
  31. 31.
    Thusoo S, Modi K, Kumar R, Madahar H (2015) Response of buildings with soil-structure interaction with varying soil types. Int J Civ Environ Struct Constr Archit Eng 9(4):414–418Google Scholar
  32. 32.
    Tabatabaiefar SHR, Fatahi B, Samali B (2014) An empirical relationship to determine lateral seismic response of mid-rise building frames under influence of soil-structure interaction. Struct Des Tall Spec Build 23:526–548CrossRefGoogle Scholar

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© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.LSEI Laboratory, University of Science and Technology Houari BoumedieneAlgiersAlgeria

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