Extracting parameters of TMD and primary structure from the combined system responses

- Journal title : Smart Structures and Systems
- Volume 16, Issue 5, 2015, pp.937-960
- Publisher : Techno-Press
- DOI : 10.12989/sss.2015.16.5.937

Title & Authors

Extracting parameters of TMD and primary structure from the combined system responses

Wang, Jer-Fu; Lin, Chi-Chang;

Wang, Jer-Fu; Lin, Chi-Chang;

Abstract

Tuned mass dampers (TMDs) have been a prevalent vibration control device for suppressing excessive vibration because of environmental loadings in contemporary tall buildings since the mid-1970s. A TMD must be tuned to the natural frequency of the primary structure to be effective. In practice, a TMD may be assembled in situ, simultaneously with the building construction. In such a situation, the respective dynamic properties of the TMD device and building cannot be identified to determine the tuning status of the TMD. For this purpose, a methodology was developed to obtain the parameters of the TMD and primary building on the basis of the eigenparameters of any two complex modes of the combined building-TMD system. The theory was derived in state-space to characterize the nonclassical damping feature of the system, and combined with a system identification technique to obtain the system eigenparameters using the acceleration measurements. The proposed procedure was first demonstrated using a numerical verification and then applied to real, experimental data of a large-scale building-TMD system. The results showed that the procedure is capable of identifying the respective parameters of the TMD and primary structure and is applicable in real implementations by using only the acceleration response measurements of the TMD and its located floor.

Keywords

tuned mass damper (TMD);passive control;energy dissipation device;building structure;system identification;

Language

English

Cited by

References

1.

Alexander, N.A. and Schilder, F. (2009), "Exploring the performance of a nonlinear tuned mass damper", J. Sound Vib., 319(1-2), 445-462.

2.

Almazan, J.L., Espinoza, G. and Aguirre, J.J. (2012), "Torsional balance of asymmetric structures by means of tuned mass dampers", Eng. Struct., 42, 308-328.

3.

Bekdas, G. and Nigdeli, S.M. (2011), "Estimating optimum parameters of tuned mass dampers using harmony search", Eng. Struct., 33, 2716-2723.

4.

Bekdas, G. and Nigdeli, S.M. (2013), "Mass ratio factor for optimum tuned mass damper strategies", Int. J. Mech. Sci., 71, 68-84.

5.

Bakre, S.V. and Jangid, R.S. (2004), "Optimum multiple tuned mass dampers for base-excited damped main system", Int. J. Struct. Stab. Dy., 4(4), 527-542.

6.

Bisegna, P. and Caruso, G. (2011), "Closed-form formulas for the optimal pole-based design of tuned mass dampers", J. Sound Vib., 331(10), 2291-2314.

7.

Brock, J.E. (1946), "A note on the damped vibration absorber", J. Appl. Mech. T. Am. Soc. Mech. E., 13, A-284.

8.

Brownjohn, J.M.W., Carden, E.P., Goddard, C.R. and Oudin, G. (2010), "Real-time performance monitoring of tuned mass damper system for a 183m reinforced concrete chimney", J. Wind Eng. Ind. Aerod., 98(3), 169-179.

9.

Chakraborty, S. and Roy, B.K. (2011), "Reliability based optimum design of tuned mass damper in seismic vibration control of structures with bounded uncertain parameters", Probabilist. Eng. Mech., 26(2), 215-221.

10.

Cheung Y. L. and Wong, W. O. (2011), "H-infinity optimization of a variant design of the dynamic vibration absorber-revisited and new results", J. Sound Vib., 330(16), 3901-3912.

11.

Den Hartog, J.P. (1956), Mechanical Vibrations, McGraw-Hill, New York, U.S.A.

12.

Farshidianfar, A. and Soheili, S. (2013), "Ant colony optimization of tuned mass dampers for earthquake oscillations of high-rise structures including soil-structure interaction", Soil Dyn. Earthq. Eng., 51, 14-22.

13.

Frahm, H. (1911), Device for damping vibrations of bodies. U.S. Patent No. 989-958.

14.

Greco, R. and Marano, G.C. (2013), "Optimum design of tuned mass dampers by displacement and energy perspectives", Soil Dyn. Earthq. Eng., 49, 243-253.

15.

Hahnkamm, E. (1932), "Die dampfung von fundamentschwingungen bei veranderlicher erregerfrequenz", Ingenieur Archiv, 4(2), 192-201.

16.

Jangid, R.S. (1999), "Optimum multiple tuned mass dampers for base-excited undamped system", Earthq. Eng. Struct. D., 28(9), 1041-1049.

17.

Jangn S.J., Brennan, M.J., Rustighi, E. and Jung, H.J. (2012), "A simple method for choosing the parameters of a two degree-of-freedom tuned vibration absorber", J. Sound Vib., 331(21), 4658-4667.

18.

Juang, J.N. (1997), "System realization using information matrix", J. Guid. Control Dynam., 21(3), 492-500.

19.

Kang, N., Kim, H., Choi, S., Jo, S., Hwang, J.S. and Yu, E. (2012), "Performance evaluation of TMD under typhoon using system identification and inverse wind load estimation", Comput.-Aided Civ. Inf., 27(6), 455-473.

20.

Kareem, A. and Kline, S. (1995), "Performance of multiple mass dampers under random loading", J. Struct. Eng.-ASCE, 121(2), 348-361.

21.

Kwok, K.C.S. (1984), "Damping increase in building with tuned mass damper", J. Eng. Mech.-ASCE, 110(11), 1645-1649.

22.

Li, C. (2000), "Performance of multiple tuned mass dampers for attenuating undesirable oscillators of structures under the ground acceleration", Earthq. Eng. Struct. D., 29(9), 1405-1421.

23.

Li, C. and Zhu, B. (2006), "Estimating double tuned mass dampers for structures under ground acceleration using a novel optimum criterion", J. Sound Vib., 298(1-2), 280-297.

24.

Li, Q.S., Zhi, L.H., Tuan, A.Y., Kao, C.S., Su, S.C. and Wu, C.F. (2011), "Dynamic behavior of Taipei 101 tower: field measurement and numerical analysis", J. Struct. Eng.-ASCE, 137(1), 143-155.

25.

Lin, C.C., Hu, C.M., Wang, J.F. and Hu, R.Y. (1994), "Vibration control effectiveness of passive tuned mass dampers", J. Chin. Inst. Eng., 17(3), 367-376.

26.

Lin, C.C., Wang, C.E., Wu, H.W. and Wang, J.F. (2005), "On-line building damage assessment based on earthquake records", Smart Mater. Struct., 14(3), 137-153.

27.

Lin, C.C., Wang, J.F. and Tsai, C.H. (2008), "Dynamic parameter identifications for irregular buildings considering soil-structure interaction effects", Earthq. Spectra, 24(3), 641-666.

28.

Lin, C.C., Wang, J.F., Lien, C.H., Chiang, H.W. and Lin, C.S. (2010), "Optimum design and experimental study of multiple tuned mass dampers with limited stroke", Earthq. Eng. Struct. D., 39(14), 1631-1651.

29.

Lin, C.C. and Wang, J.F. (2012), Optimal Design and Practical Considerations of Tuned Mass Dampers for Structural Control, Design Optimization of Active and Passive Structural Control Systems, 126-149, IGI Global, Hershey, PA, USA.

30.

Luft, R.W. (1979), "Optimal tuned mass dampers for buildings", J. Struct. Div.-ASCE, 105(12), 2766-2772.

31.

Marano, G.C. and Quaranta, G. (2009), "Robust optimum criteria for tuned mass dampers in fuzzy environments", Appl. Soft Comput., 9, 1232-1243.

32.

Marano, G.C., Greco, R. and Chiaia, B. (2010a), "A comparison between different optimization criteria for tuned mass dampers design", J. Sound Vib., 329(23), 4880-4890.

33.

Marano, G.C., Greco, R. and Sgobba, S. (2010b), "A comparison between different robust optimum design approaches: Application to tuned mass dampers", Probabilist. Eng. Mech., 25(1), 108-118.

34.

McNamara, R.J. (1977), "Tuned mass dampers for buildings", J. Struct. Div.-ASCE, 103(9), 1785-1798.

35.

Mohtat, A. and Dehghan-Niri, E. (2011), "Generalized framework for robust design of tuned mass damper systems", J. Sound Vib., 330(5), 902-922.

36.

Oka, S.Y., Song, J. and Park, K.S. (2009), "Development of optimal design formula for bi-tuned mass dampers using multi-objective optimization", J. Sound Vib., 322(1-2), 60-77.

37.

Ormondroyd, J., and Den Hartog, J.P. (1928), "The theory of the dynamic vibration absorber", J. Appl. Mech. T. Am. Soc. Mech. E., 50, 9-22.

38.

Park, J. and Reed, D. (2001), "Analysis of uniformly and linearly distributed mass dampers under harmonic and earthquake excitation", Eng. Struct., 23(7), 802-814.

39.

Sgobba, S. and Marano, G.C. (2010), "Optimum design of linear tuned mass dampers for structures with nonlinear behavior", Mech. Syst. Signal Pr., 24(6), 1739-1755.

40.

Shi, W., Shan, J. and Lu, X. (2012), "Modal identification of Shanghai World Financial Center both from free and ambient vibration response", Eng. Struct., 36, 14-26.

41.

Steinbuch, R. (2011), "Bionic optimisation of the earthquake resistance of high buildings by tuned mass dampers", J. Bionic Eng., 8(3), 335-344.

42.

Tigli, O.F. (2012), "Optimum vibration absorber (tuned mass damper) design for linear damped systems subjected to random loads", J. Sound Vib., 331(13), 3035-3049.

43.

Ueng, J.M., Lin, C.C. and Wang, J.F. (2008), "Practical design issues of tuned mass dampers for torsionally coupled buildings under earthquake loadings", Struct. Des. Tall Buil., 17(1), 133-165.

44.

Van Overschee, P. and De Moor, B. (2011), Subspace Identification for Linear Systems: Theory-Implementation-Applications, Springer, New York, NY, USA.

45.

Viguie, R. and Kerschen, G. (2009), "Nonlinear vibration absorber coupled to a nonlinear primary system: A tuning methodology", J. Sound Vib., 326(3-5), 780-793.

46.

Viguie R. and Kerschen, G. (2010), "On the functional form of a nonlinear vibration absorber", J. Sound Vib., 329(25), 5225-5232.

47.

Villaverde, R. (1985), "Reduction seismic response with heavily-damped vibration absorbers", Earthq. Eng. Struct. D., 13(1), 33-42.

48.

Wang J.F. and Lin, C.C. (2005), "Seismic performance of multiple tuned mass dampers for soil-irregular building interaction system", Int. J. Solids Struct., 42, 5536-5554.

49.

Wang, J.F., Lin, C.C. and Lian, C.H. (2009). "Two-stage optimum design of tuned mass dampers with consideration of stroke", Struct. Control Health., 16(1), 55-72.

50.

Wang, M., Zan, T., Yang, Y. and Fei, R. (2010), "Design and implementation of nonlinear TMD for chatter suppression: An application in turning processes", Int. J. Mach. Tool. Manu., 50(5), 474-479.

51.

Warburton, G.B. (1982), "Optimum absorber parameters for various combinations of response and excitation parameters", Earthq. Eng. Struct. D., 10(3), 381-401.

52.

Weber, B. and Feltrin, G. (2010), "Assessment of long-term behavior of tuned mass dampers by system identification", Eng. Struct., 32(11), 3670-3682.

53.

Wirsching, P.H. and Campbell, G.W. (1973), "Minimal structural response under random excitation using the vibration absorber", Earthq. Eng. Struct. D., 2(4), 303-312.

54.

Xu, K. and Igusa, T. (1992), "Dynamic characteristics of multiple substructures with closely spaced frequencies", Earthq. Eng. Struct. D., 21(12), 1059-1070.