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Modal identifiability of a cable-stayed bridge using proper orthogonal decomposition
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  • Journal title : Smart Structures and Systems
  • Volume 17, Issue 3,  2016, pp.413-429
  • Publisher : Techno-Press
  • DOI : 10.12989/sss.2016.17.3.413
 Title & Authors
Modal identifiability of a cable-stayed bridge using proper orthogonal decomposition
Li, M.; Ni, Y.Q.;
The recent research on proper orthogonal decomposition (POD) has revealed the linkage between proper orthogonal modes and linear normal modes. This paper presents an investigation into the modal identifiability of an instrumented cable-stayed bridge using an adapted POD technique with a band-pass filtering scheme. The band-pass POD method is applied to the datasets available for this benchmark study, aiming to identify the vibration modes of the bridge and find out the so-called deficient modes which are unidentifiable under normal excitation conditions. It turns out that the second mode of the bridge cannot be stably identified under weak wind conditions and is therefore regarded as a deficient mode. To judge if the deficient mode is due to its low contribution to the structural response under weak wind conditions, modal coordinates are derived for different modes by the band-pass POD technique and an energy participation factor is defined to evaluate the energy participation of each vibration mode under different wind excitation conditions. From the non-blind datasets, it is found that the vibration modes can be reliably identified only when the energy participation factor exceeds a certain threshold value. With the identified threshold value, modal identifiability in use of the blind datasets from the same structure is examined.
cable-stayed bridge;modal identifiability;deficient mode;proper orthogonal decomposition;energy participation factor;
 Cited by
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Smart Structures and Systems, 2016. vol.18. 1, pp.17-29 crossref(new window)
Human induced vibration vs. cable-stay footbridge deterioration, Smart Structures and Systems, 2016, 18, 1, 17  crossref(new windwow)
Bergermann, R. and Schlaich, M. (1996), "Ting Kau Bridge, Hong Kong", Struct. Eng. Int., 6(3), 152-154. crossref(new window)

Chelidze, D. and Zhou, W. (2006), "Smooth orthogonal decomposition-based vibration mode identification", J. Sound Vib., 292(3), 461-473. crossref(new window)

Farooq, U. and Feeny, B.F. (2008), "Smooth orthogonal decomposition for modal analysis of randomly excited systems", J. Sound Vib., 316(1), 137-146. crossref(new window)

Feeny, B.F. (2002), "On proper orthogonal co-ordinates as indicators of modal activity", J. Sound Vib., 255(5), 805-817. crossref(new window)

Feeny, B.F. and Kappagantu, R. (1998), "On the physical interpretation of proper orthogonal modes in vibrations", J. Sound Vib., 211(4), 607-616. crossref(new window)

Feeny, B.F. and Liang, Y. (2003), "Interpreting proper orthogonal modes of randomly excited vibration systems", J. Sound Vib., 265(5), 953-966. crossref(new window)

Fukagana, K. (1972), Introduction to Statistical Pattern Recognition, Academic Press, New York.

Han, S. (2000), "Linking proper orthogonal modes and normal modes of the structure", Proceedings of the IMAC 18, San Antonio, TX.

Han, S. and Feeny, B.F. (2002), "Enhanced proper orthogonal decomposition for the modal analysis of homogeneous structures", J. Sound Vib., 8(1), 19-40.

Han, S. and Feeny, B. (2003), "Application of proper orthogonal decomposition to structural vibration analysis", Mech. Syst. Signal Pr., 17(5), 989-1001. crossref(new window)

Holmes, J.D. (1990), "Analysis and synthesis of pressure fluctuations on bluff bodies using eigenvectors", J. Wind. Eng. Ind. Aerod., 33(1-2), 219-230. crossref(new window)

Hotelling, H. (1933), "Analysis of a complex of statistical variables into principal components", J. Educ. Psychol., 24(6), 417-441. crossref(new window)

Jolliffe, I.T. (2002), Principal Component Analysis, 2nd Ed., Springer, New York.

Kerschen, G. and Golinval, J.C. (2002), "Physical interpretation of the proper orthogonal modes using the singular value decomposition", J. Sound Vib., 249(5), 849-865. crossref(new window)

Kunisch, K. and Volkwein, S., (1999), "Control of the Burgers' equation by a reduced order approach using proper orthogonal decomposition", J. Optimiz. Theory App., 102, 345-371. crossref(new window)

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

Mariani, R. and Dessi, D. (2012), "Analysis of the global bending modes of a floating structure using the proper orthogonal decomposition", J. Fluid Struct., 28, 115-134. crossref(new window)

Ni, Y.Q., Wang, Y.W. and Xia, Y.X. (2015), "Investigation of mode identifiability of a cable-stayed bridge: comparison from ambient vibration responses and from typhoon-induced dynamic responses", Smart Struct. Syst., 15(2), 447-468. crossref(new window)

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. crossref(new window)

Pearson, K. (1901), "On lines and planes of closest fit to systems of points in space", Phil. Mag., 2, 559-572. crossref(new window)

Wong, K.Y. (2004), "Instrumentation and health monitoring of cable-supported bridges", Struct. Control. Health Monit., 11(2), 91-124. crossref(new window)

Wong, K.Y. (2007), "Design of a structural health monitoring system for long-span bridges", Struct. Infrastruct. E., 3(2), 169-185. crossref(new window)

Wong, K.Y. and Ni, Y.Q. (2009), "Modular architecture of structural health monitoring system for cable-supported bridges", Encyclopedia of Structural Health Monitoring, (Eds., C. Boller, F.K. Chang and Y. Fujino), John Wiley & Sons, Chichester, UK, 5.