Reducing the Seismic Response of Nonlinear Hysteretic Structures Using Optimal Multiple Tuned Mass Dampers

Document Type : پژوهشی

Authors

• Mohtasham Mohebbi
• Hosein Shabani
• Solmaz Moradpour

University of Mohaghegh Ardabili

10.22067/civil.v26i2.16599

Abstract

In this research, the effectiveness of multiple tuned mass dampers (MTMDs) in mitigating the response of nonlinear hysteretic structures has been studied where the optimal parameters of MTMDs have been determined based on minimization of maximum relative displacement (drift) of structure. For solving the optimization problem the genetic algorithm (GA) has been used successfully. For numerical analysis, an eight-storey bilinear hysteretic shear frame subjected to a white noise excitation and optimal MTMDs have been designed. The results of numerical simulations have shown the effectiveness of the proposed method in designing optimal MTMDs for nonlinear structures. Also, it can be said that the damage of structure can be reduced using optimal MTMDs where the performance has been affected by earthquake characteristics and mass ratio.

Keywords

• Passive Control
• Tuned Mass Damper (TMD)
• Multiple Tuned Mass Dampers (MTMD)
• Nonlinear Shear Frame
• Optimization

---

References

Housner, G.W., Bergman, L.A., Caughey, T.K., Chassiakos , A.G., Masri, S.F., Skelton, R.E., Soong, T.T., Spencer, B.F. and Yao., J., "Structural control: past, present and future", Journal of Engineering Mechanics, ASCE, 123(9), pp. 897-966, (1997).

2. Soong, T. and Dargush, G.F., "Passive energy dissipation systems in structural engineering", John Wiley & Sons, Chichester, (1997).

3. Frahm, H., "Device for damping vibrations of bodies", US Patent, (1909).

4. Bishop, R. E. D and Welbourn, D. B., "The Problem of the dynamic vibration absorber", Engineering, Lond, (1952).

5. Falcon, K. C., Stone, B. J., Simcock, W. D and Andrew, C., "Optimization of vibration absorbers: a graphical method for use on idealized systems with restricted damping", Journal of Mechanical Engineering Science, 9, pp. 374-381, (1967).

6. Kaynia, A.B., Veneziano, D., Biggs, J.M., "Seismic effectiveness of tuned mass dampers", Journal of Structural Division ASCE, 107(8), pp. 1465-1484, (1981).

7. Bernal, R., "Influence of ground motion characteristics on the effectiveness of tuned mass dampers", Proceedings of the 11th World Conference on Earthquake Engineering, Acapulco, Mexico, (1996).

8. Mohebbi, M. and Joghataie, A., "Designing optimal tuned mass dampers for nonlinear frames by distributed genetic algorithms", Structural Design of Tall and Special Buildings, 21(1), pp. 57-76, (2012).

9. Hong, N. and Waranitchai, P., "Design of multiple tund mass dampers by using numerical optimizer", Earthquake Engineering & Structural Dynamics, 34, pp. 125-144, (2005).

10. Chen, G. and Wu, J., "Optimal Placement of multiple tuned mass dampers for seismic structures", Journal of Structural Engineering, ASCE, 127(9), pp. 1054-1062, (2001).

11. Balendra,T., Wang, C. M. and Yan, N., "Control of wind-excited towers by active tuned liquid column damper", Engineering Structure, 23, pp. 1054-1067, (2001).

12. Spencer, B.F. and Nagarajaiah, S., "State of the art of structural control", Journal of Structural Engineering, ASCE, 129(7), pp. 845-856, (2003).

13. Joghataie, A. and Mohebbi, M., "Optimal controller of nonlinear frames by Newmark and distributed genetic algorithms", Structural Design of Tall and Special Buildings, 21, pp. 77-95,(2012).

14. Bani-Hani, K. A., "Vibration control of wind-induced response of tall buildings with an active tuned mass damper using neural networks", Journal of Structural Control and Health Monitoring, 14(1), pp. 83 – 108, (2007).

15. Shariatmadar, H., Golnargesi, S. and Akbarzadeh Totonchi, M.R. "Vibration control of buildings using ATMD against earthquake excitations through interval type-2 fuzzy logic controller“, Asian Journal of Civil Engineering (Building and Housing), 15, pp.321-338, (2014).

16. محبی، م. و شاکری ، ک.، " استفاده از الگوریتم ژنتیک برای طراحی بهینه‌ی جرم میراگر فعال در سازه های غیرخطی"، مجله‌ی علمی- پژوهشی سازه و فولاد، شماره‌ی دوازدهم، (1391).

17. Ankireddi S. and Yang, H.T.Y., "Simple ATMD control methodology for tall buildings subject to wind loads", Journal of Structural Engineering, ASCE, 122, pp. 83– 91, (1996).

18. Yan, N., Wang, C.M. and Balendra, T., “Optimum damper characteristics of ATMD for buildings under wind loads", Journal of Structural Engineering, ASCE; 125, pp. 1376 –1383, (1999).

19. Nagashima, I., "Optimal displacement feedback control law for active tuned mass damper", Earthquake Engineering & Structural Dynamics, 30)8(, pp. 1221–1242, (2001).

20. Li, C., Jinhua, Li.,J. and Qu, Y.,"An optimum design methodology of active tuned mass damper for asymmetric structures", Mechanical Systems and Signal Processing, 24, pp. 746–765, (2010).

21. Lin, P.Y., Chung, L.L. and Loh, C.H.; "Semi-active control of building structures with semi-active tuned mass damper", Computer-Aided Civil and Infrastructure Engineering, 20(1), pp. 35–51, (2005).

22. Karamodin ,A., Haji Kazemi,H., Rowhanimanesh,A. and Akbarzadeh Totonchi, M.R. , "Semi-active control of structures using a neuro-inverse model of MR dampers" , Scientia Iranica ,16, pp. 256-263,(2009).

23. Karamodin, A., Haji Kazemi, H. "Semi-active control of structures using neuro-predictive algorithm for MR dampers", Structural Control and Health Monitoring, 278, pp. 1002-1020,(2008).

24. Xu, K. and Igusa T.," Dynamic characteristics of multiple substructures with closely spaced frequencies", Earthquake Engineering & Structural Dynamics, 21(12), pp. 1059–1070, (1992).

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

26. Kareem, A, and Klein, S., "Performance of multiple tuned mass dampers under random loadings", Journal of Structural Engineering, ASCE, 121(2), pp. 348-361, (1995).

27. Yamaguchi, H and.Harnpornchai, N., "Fundamental characteristics of multiple tuned mass dampers for suppressing harmonically forced oscillation", Earthquake Engineering & Structural Dynamics, 22, pp. 51-62, (1993).

28. Igusa, T. and Xu, K., "Vibration control using multiple tuned mass damper", Journal of Sound and Vibration, 175, pp. 491-503 (1994).

29. Jangid, R.S., "Optimum multiple tuned mass dampers for base excited undamped systems", Earthquake Engineering & Structural Dynamics, 28, pp. 1041-1049, (1999).

30. Li., C., "Optimum multi tuned mass dampers for structures under the ground acceleration based on DDMF and ADMF", Earthquake Engineering & Structural Dynamics, 31, pp. 897-919, (2002).

31. Zuo, L. and Nayfeh, S.A., "Optimization of the individual stiffness and damping parameters in multiple-tuned-mass-damper systems", Journal of Vibration and Acoustics, Transactions of ASME, 127, pp. 77-83, (2005).

32. Carneiro, R.B., Avila, S.M. and De Brito, J.L.V., "Parametric study on multiple tuned mass dampers using interconnected masses", International Journal of Structural Stability and Dynamics, 8(1), pp. 187-202, (2008).

33. Moon, K.S., "Vertically distributed multiple tuned mass dampers in tall buildings: performance and preliminary design", Structural Design of Tall and Special Buildings, 19, pp. 347-366, (2010).

34. Mohebbi, M., Shakeri, K., Ghanbarpour Y. and Majzub,H., "Designing optimal multiple tuned mass dampers using Genetic Algorithms (GAs) for mitigating the seismic response of structures", Journal of Vibration and Control, 19(4), pp. 605-625,(2013).

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

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

37. Li, C. and Bilei, Zhu. "Investigation of response of systems with active multiple tuned mass dampers", Structural Control and Health Monitoring, 14, pp. 1138-1154, ( 2007).

38. Li, C., Li., J., Yu, Z. and Qu., Y. "Performance and parametric study of active multiple tuned mass dampers for asymmetric structures under ground acceleration", Journal of Mechanics of Materials and Structures, 4(3), pp. 571-588, (2009).

39. Bathe K.J.,"Finite Element Procedures", Prentice-Hall, Inc.: New Jersey, USA, (1996).

40. Joghataie, A. and Mohebbi, M., "Vibration controller for confined masonry walls by distributed genetic algorithms", Journal of Structural Engineering, ASCE, 134(2), pp. 300-309, (2008).

41. Mühlenbein, H. and Schlierkamp-Voosen, D., "Predictive models for the breeder genetic algorithm: I. Continuous parameter optimization", Evolutionary Computation, 1(1), pp. 25-49, (1993).

42. Baker, J.E., "Reducing bias and inefficiency in the selection algorithm", Proc. ICGA 2, pp. 14-21, (1987).

43. Li, C. and Liu, Y., "Further characteristics for multiple tuned mass dampers", ASCE Journal of Structural Engineering 128(10), pp. 1362- 1365, (2002).

44. 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 & Structural Dynamics, 39, pp. 1631–1651, (2010).