Optimum Seismic Design of Tuned Story Mass Damper Using Multi-Objective Genetic Algorithm

Document Type : Structural Earthquake Engineering

Authors

Yasouj University

Abstract

A new system called Tuned Story Mass Damper (TSMD) is proposed and modified to enhance the seismic performance of mid-rise buildings. In TSMD systems, some part of a story's mass is utilized as Mass Damper, and an external passive damping device is used to provide the expected control force. For an 11-story structural model under seismic excitations, the equations of motion are solved in state space and two objective functions, the maximum displacement and maximum velocity of the top floor are considered to be minimized simultaneously. Using a fast and elitist Non-dominated Sorting Genetic Algorithm (NSGA-II) approach, the optimum design parameters of the TSMD system, including mass, stiffness and damping as well as the best location of the TSMD system among the floors of the structure are obtained. The results show that considering the TSMD system on the fifth floor leads to the most reduction in displacement and velocity, not only for the roof, but also for the other floors as well. For the system under study, comparing with the noncontrolled system, a reduction of about 31% on maximum displacement and 42% on maximum velocity of the top floor are obtained.

Keywords


  1. Frahm, H. (1909) Device for Damped Vibrations of Bodies. U.S. Patent No. 989958.
  2. Sadek, F., Mohraz, B., Taylor, A.W., and Chung, R.M. (1997) A method of estimating the parameters of tuned mass dampers for seismic
  3. applications. Journal of Earthquake Engineering & Structural Dynamics, 26, 617-635.
  4. Jagadish, K.S., Raghu, B.K., and Vasudeva, P. (1979) The inelastic vibration absorber subjected to earthquake ground motions. Journal of Earthquake
  5. Engineering & Structural Dynamics, 7(4), 317-326.
  6. Miyama, T. (1992) Seismic response of multi-story frames equipped with energy absorbing story on its top. 10th World Conference on Earthquake
  7. Engineering, 7, 4201-4206.
  8. Feng, M. and Mita, A. (1995) Vibration control of tall buildings using mega subconfiguration. Journal of Engineering Mechanics, 121, 1082-1088.
  9. Chey, M.H., Chase, J.G., Mander, J.B., and Carr, A.J. (2010) Semi-active tuned mass damper building systems: application. Journal of Earthquake Engineering & Structural Dynamics, 39(1), 69-89.
  10. Pourzeinali, S. and Zarif, M. (2008) Multiobjective optimization of seismically isolated high-rise building structures using genetic algorithms. Journal of Sound and Vibration, 311, 1141-1160.
  11. Zahrai, S.M., Zare, A., Khalili, M.K., and Asnafi, A. (2013) Seismic design of fuzzy controller for semi-active tuned mass dampers using top stories as the mass. Asian Journal of Civil Engineering, 14(3), 383-396.
  12. Building and Housing Research Center (BHRC) Iranian Code of Practice for Seismic Resistant Design of Buildings, Standard No. 2800 - 05, 3rd Edition.
  13. Deb, K., Agrawal, S., Pratap, A., and Meyarivan, T. (2002) A fast and elitist multi objective genetic algorithms: NSGA-II. Journal Evolutionary Computation, 6(2), 182-197.
  14. Seshadri, A. (2006) A fast elitist multi-objective genetic algorithm NSGA-II. Available Online: https://web.njit.edu/~horacio/Math451H/download/Seshadri_NSGA-II.pdf.