Optimum stiffness designing of the TMD mechanism by combining the transient and the steady-state responses

مهندسی عمران فردوسی

Article 6, Volume 26, Issue 2, August 2015, Pages 85-98   

Document Type: پژوهشی

DOI: 10.22067/civil.v26i2.20950

Authors

peyman ashrafi; javad alamatian^*

Department of Civil Engineering, Islamic Azad University of Mashhad.

Abstract

This paper deals with new method for designing the tuned mass dampers (TMD) with considering both transient and steady state responses, simultaneously. This formulation is presented for undamped vibrations. For this purpose, the absolute value of the structural displacement ratio is minimized numerically. This procedure leads to optimum value of TMD's specifications. For numerical verification, the vibrations of some structures a controlled by proposed method. Results show the efficiency of the proposed technique in comparison with other existing approaches.

Keywords

Tuned Mass Dampers; Optimum Stiffness; Transient and steady-state responses

References

Connor, J.J., "Introduction to structural motion control", Prentice-Hall, pp. 275-278, (2003).

2. Sadek, F., Mohraz, B., Taylor, A. and Chung, R., "A method of estimating the parameters of tuned mass dampers for seismic applications", Earthquake Engineering and Structural Dynamics, Vol. 26, pp. 617–635, (1997).

3. Miranda, J.C., "On tuned mass dampers for reducing the seismic response of structures", Earthquake Engineering and Structural Dynamics, Vol. 34, pp. 847–865, (2005).

4. Miranda, J.C., "System intrinsic, damping maximized, tuned mass dampers for seismic applications", Structural Control and Health Monitoring, Vol. 19, pp. 405–416, (2011).

5. Zilletti, M., Elliott, S.J. and Rustighi, E., "Optimisation of dynamic vibration absorbers to minimise kinetic energy and maximise internal power dissipation", Journal of Sound and Vibration, Vol. 331, pp. 4093-4100, (2012).

6. Li, C., "Performance of multiple tuned mass dampers for attenuating undesirable oscillations of structures under the ground acceleration", Earthquake Engineering and Structural Dynamics, Vol. 29, pp. 1405–1421, (2000).

7. Wang, J.F., Lin, C.C. and Lien, C.H., "Two-stage optimum design of tuned mass dampers with consideration of stroke", Structural Control and Health Monitoring, Vol. 16, pp. 55–72, (2009).

8. Lin, C.C., Wang, J.F., Lien, C.H., Chiang, H.W. and Lin, C.S., "Optimum design and experimental study of multiple tuned mass dampers with limited stroke", Earthquake Engineering and Structural Dynamics, Vol. 39, pp. 1631–1651, (2010).

9. Majcher, K., "Shaking table tests of a model-scale building with 2DOF pendulum mass damper", Proceeding in Applied Mathematics and Mechanics (PAMM), Vol. 12, pp. 231-232, (2012).

10. Korkmaz, S., "A review of active structural control: challenges for engineering informatics", Computers & Structures, Vol. 89, pp. 2113–2132, (2011).

11. Sugumar, R., Kumar, C. and Datta, T.K., "Application of stochastic control system in structural control", Procedia Engineering, Vol. 38, pp. 2356-2363, (2012).

12. Li, C. and Liu, Y., "Active multiple tuned mass dampers for structures under the ground acceleration", Earthquake Engineering and Structural Dynamics, Vol. 31, pp. 1041–1052, (2002).

13. Li, C., Liu, Y. and Wang, Z., "Active multiple tuned mass dampers: a new control strategy", Journal of Structural Engineering (ASCE), Vol. 129, pp. 972–977, (2003).

14. Li, C. and Xiong, X., "Estimation of active multiple tuned mass dampers for asymmetric structures", Structural Engineering and Mechanics, Vol. 29, pp. 505–530, (2008).

15. Li, C., Yu, Z., Xiong, X. and Wang, C., "Active multiple tuned mass dampers for asymmetric structures considering soil-structure interaction", Structural Control and Health Monitoring, Vol. 17, pp. 452–472, (2010).

16. Nagarajaiah, S. and Varadarajan, N., "Short time Fourier transform algorithm for wind response control of buildings with variable stiffness TMD", Engineering Structures, Vol. 27, pp. 431–441, (2005).

17. Chey, M.H., Chase, J.G., Mander, J.B. and Carr, A.J., "Semi-active tuned mass damper building systems: Design", Earthquake Engineering and Structural Dynamics, Vol. 39, pp. 119–139, (2010).

18. Eason, R.P., Sun, C., Dick, A.J. and Nagarajaiah, S., "Attenuation of a linear oscillator using a nonlinear and a semi-active tuned mass damper in series", Journal of Sound and Vibration, Vol. 332, pp. 154-166, (2013).

19. Alamatian, J. and Rezaeepazhand, J., "A simple approach for determination of actuator and sensor locations in smart structures subjected to the dynamic loads", International Journal of Engineering (IJE), Vol. 24, pp. 341-349, (2011).