Operational modal analysis of Canton Tower by a fast frequency domain Bayesian method

- Journal title : Smart Structures and Systems
- Volume 17, Issue 2, 2016, pp.209-230
- Publisher : Techno-Press
- DOI : 10.12989/sss.2016.17.2.209

Title & Authors

Operational modal analysis of Canton Tower by a fast frequency domain Bayesian method

Zhang, Feng-Liang; Ni, Yi-Qing; Ni, Yan-Chun; Wang, You-Wu;

Zhang, Feng-Liang; Ni, Yi-Qing; Ni, Yan-Chun; Wang, You-Wu;

Abstract

The Canton Tower is a high-rise slender structure with a height of 610 m. A structural health monitoring system has been instrumented on the structure, by which data is continuously monitored. This paper presents an investigation on the identified modal properties of the Canton Tower using ambient vibration data collected during a whole day (24 hours). A recently developed Fast Bayesian FFT method is utilized for operational modal analysis on the basis of the measured acceleration data. The approach views modal identification as an inference problem where probability is used as a measure for the relative plausibility of outcomes given a model of the structure and measured data. Focusing on the first several modes, the modal properties of this supertall slender structure are identified on non-overlapping time windows during the whole day under normal wind speed. With the identified modal parameters and the associated posterior uncertainty, the distribution of the modal parameters in the future is predicted and assessed. By defining the modal root-mean-square value in terms of the power spectral density of modal force identified, the identified natural frequencies and damping ratios versus the vibration amplitude are investigated with the associated posterior uncertainty considered. Meanwhile, the correlations between modal parameters and temperature, modal parameters and wind speed are studied. For comparison purpose, the frequency domain decomposition (FDD) method is also utilized to identify the modal parameters. The identified results obtained by the Bayesian method, the FDD method and a finite element model are compared and discussed.

Keywords

supertall structure;ambient vibration;modal identification;Bayesian method;uncertainty;

Language

English

Cited by

1.

2.

3.

4.

5.

6.

References

1.

Au, S.K. (2011), "Fast Bayesian FFT method for ambient modal identification with separated modes", J. Eng. Mech.-ASCE, 137, 214-226.

2.

Au, S.K. (2012a), "Fast Bayesian ambient modal identification in the frequency domain, Part I: Posterior most probable value", Mech. Syst. Signal Pr., 26, 60-75.

3.

Au, S.K. (2012b), "Fast Bayesian ambient modal identification in the frequency domain, Part II: posterior uncertainty", Mech. Syst. Signal Pr., 26, 76-90.

4.

Au, S.K. (2012c), "Connecting Bayesian and frequentist quantification of parameter uncertainty in system identification", Mech. Syst. Signal Pr., 29, 328-342.

5.

Au S.K. and Zhang F.L. (2012a), "Fast Bayesian ambient modal identification incorporating multiple setups", J. Eng.Mech.-ASCE, 138(7), 800-815.

6.

Au, S.K. and Zhang, F.L. (2012b), "Ambient modal identification of a primary-secondary structure by Fast Bayesian FFT method", Mech. Syst. Signal Pr., 28, 280-296.

7.

Au, S.K. and Zhang, F.L. (2016), "Fundamental two-stage formulation for Bayesian system identification, Part I: General theory", Mech. Syst. Signal Pr., 66-67, 31-42.

8.

Au, S.K., Ni, Y.C., Zhang, F.L. and Lam, H.F. (2012a), "Full scale dynamic testing of a coupled slab system", Eng. Struct., 37, 167-178.

9.

Au, S.K., Zhang, F.L. and To, P. (2012b), "Field observations on modal properties of two tall buildings under strong wind", J. Wind Eng. Ind. Aerod., 101, 12-23.

10.

Au, S.K., Zhang, F.L. and Ni, Y.C. (2013), "Bayesian operational modal analysis: theory, computation, practice", Comput. Struct., 126, 3-15.

11.

Brincker, R., Zhang, L. and Anderson, P. (2001), "Modal identification of output-only systems using frequency domain decomposition", Smart Mater. Struct., 10, 441-455.

12.

Brownjohn, J.M.W. and Pan, T.C. (2008), "Identifying loading and response mechanisms from ten years of performance monitoring of a tall building", J. Perform. Constr. Fac., 22(1), 24-34.

13.

Brownjohn, J.M.W., Moyo, P., Omenzetter, P. and Chakraborty, S. (2005), "Lessons from monitoring the performance of highway bridge", Struct. Control Health Monit., 12, 227-244.

14.

Chang, P.C., Flatau, A. and Liu, S.C. (2003), "Health monitoring of civil infrastructure", Struct. Health Monit., 2(3), 257-267.

15.

Chen, H.P., Tee, K.F. and Ni, Y.Q. (2012), "Mode shape expansion with consideration of analytical modelling errors and modal measurement uncertainty", Smart Struct. Syst., 10(4-5), 485-499.

16.

Chen, H.P. and Huang, T.L. (2012), "Updating finite element model using dynamic perturbation method and regularization algorithm", Smart Struct. Syst., 10(4-5), 427-442.

17.

Chen, W.H., Lu, Z.R., Lin, W., Chen, S.H., Ni, Y.Q., Xia, Y. and Liao W.Y. (2011), "Theoretical and experimental modal analysis of the Guangzhou New TV Tower", Eng. Struct., 33, 3628-3646.

18.

Katafygiotis, L.S. and Yuen, K.V. (2001), "Bayesian spectral density approach for modal updating using ambient data", Earthq. Eng. Struct. D., 30, 1103-1123.

19.

Kijewski-Correa, T., Kwon D.K., Kareem A., Bentz A., Guo Y., Bobby A. and Abdelrazaq, A. (2013), "SmartSync: An integrated real-time structural health monitoring and structural identification system for tall buildings", J. Struct. Eng.-ASCE, 139(10), 1675-1687.

20.

Ko, J.M. and Ni, Y.Q. (2005), "Technology developments in structural health monitoring of large-scale bridges", Eng. Struct., 27(12), 1715-1725.

21.

Kuok, S.C. and Yuen, K.V. (2012), "Structural health monitoring of Canton tower using Bayesian framework", Smart Struct. Syst., 10(4-5), 375-391.

22.

Lam, H.F., Peng, H.Y. and Au, S.K. (2014), "Development of a practical algorithm for Bayesian model updating of a coupled slab system utilizing field test data", Eng. Struct., 79, 182-194.

23.

Lei, Y., Wang, H.F. and Shen, W.A. (2012), "Update the finite element model of Canton Tower based on direct matrix updating with incomplete modal data", Smart Struct. Syst., 10(4-5), 471-483.

24.

Li, Q.S. and Yi, J. (2015), "Monitoring of dynamic behaviour of super-tall buildings during typhoons", Struct. Infrastruct. E., DOI: 10.1080/15732479.2015.1010223.

25.

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.

26.

Mu, H.Q. and Yuen, K.V. (2015), "Novel outlier-resistant extended Kalman filter for robust online structural identification", J. Eng. Mech.-ASCE, 141(1), CID: 04014100.

27.

Ni, Y.Q., Wong, K.Y. and Xia Y. (2011). "Health checks through landmark bridges to sky-high structures", Adv. Struct. Eng., 14(1), 103-119.

28.

Ni, Y.Q., Xia, Y., Lin, W., Chen, W.H. and Ko, J.M. (2012), "SHM benchmark for high-rise structures: a reduced-order finite element model and field measurement data", Smart Struct. Syst., 10(4), 411-426.

29.

Ni, Y.Q., Xia, Y., Liao, W.X. and Ko, J.M. (2009), "Technology innovation in developing the structural health monitoring system for Guangzhou New TV Tower", Struct. Control Health Monit., 16(1), 73-98.

30.

Ni, Y.Q., Zhang, F.L., Xia, Y.X. and Au, S.K. (2015), "Operational modal analysis of a long-span suspension bridge under different earthquake events", Earthq. Struct., 8(4), 859-887.

31.

Niu Y., Kraemer P. and Fritzen C.P. (2012), "Operational modal analysis for Canton Tower", Smart Struct. Syst., 10(4-5), 393-410.

32.

Pei, H.F., Cui, P., Yin, J.H, Zhu, H.H., Chen, X.Q., Pei, L.Z. and Xu, D.S. (2011). "Monitoring and warning of landslides and debris flows using an optical fiber sensor technology", J. Mountain Sci., 8(5), 728-738.

33.

Pei, H.F., Yin, J.H., Zhu, H.H, Hong, C.Y., Jin, W. and Xu, D.S. (2012), "Monitoring of lateral displacements of a slope using a series of special fibre Bragg grating-based in-place inclinometers", Measurement Sci. Technol., 23(2), 1-8.

34.

Peeters, B. and De Roeck, G. (2001), "Stochastic system identification for operational modal analysis: a review". Journal of Dynamic Systems", Measurement Control, ASME, 123(4), 659-667.

35.

Schoukens, J. and Pintelon, R. (1991), Identification of Linear Systems: A Practical Guideline for Accurate Modelling, London: Pergamon Press.

36.

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

37.

Sohn, H., Farrar, C.R., Hemez, F.M., Shunk, D.D., Stinemates, D.W. and Nadler B.R. (2003), A Review of Structural Health Monitoring Literature: 1996-2001, Los Alamos National Laboratory Report, LA-13976-MS.

38.

Su, J.Z., Xia, Y., Chen, L., Zhao, X., Zhang, Q.L., Xu, Y.L., Ding, J.M., Xiong, H.B. and Ma, R.J. (2013), "Long-term structural performance monitoring system for the Shanghai Tower", J. Civil Struct. Health Monit., 3, 49-61.

39.

Yuen, K.V. (2010), Bayesian methods for structural dynamics and civil engineering, Wiley, New York.

40.

Yuen, K.V. and Mu, H.Q. (2012), "A novel probabilistic method for robust parametric identification and outlier detection", Probabilist. Eng. Mech., 30, 48-59.

41.

Yuen, K.V. and Katafygiotis, L.S. (2001), "Bayesian time-domain approach for modal updating using ambient data", Probabilist. Eng. Mech., 16(3), 219-231.

42.

Yuen, K.V. and Katafygiotis, L.S. (2003), "Bayesian fast fourier transform approach for modal updating using ambient data", Adv. Struct. Eng., 6(2), 81-95.

43.

Yuen, K.V. and Katafygiotis, L.S. (2005), "Model updating using response measurements without knowledge of the input spectrum", Earthq. Eng. Struct. D., 34(2), 167-187.

44.

Yuen, K.V. and Kuok, S.C. (2010), "Ambient interference in long-term monitoring of buildings", Eng. Struct., 32, 2379-2386.

45.

Zhang, F.L. and Au, S.K. (2013), "Erratum for fast Bayesian FFT method for ambient modal identification with separated modes by Siu-Kui Au", J. Eng. Mech.-ASCE, 139, 545-545.

46.

Zhang, F.L. and Au, S.K. (2015), "A probabilistic model for modal properties based on operational modal analysis", ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering, http://dx.doi.org/10.1061/AJRUA6.0000843.B4015005..