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Identification of the nonlinear vibration characteristics in hydropower house using transfer entropy

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Abstract

The nonlinear behavior is the primary attribute of the dynamic system stability. In this study, the time-delayed transfer entropy method is proposed to identify the nonlinear dynamic behavior of hydropower house and civil construction, including the transport directionality of information, cracked damage location, and degree of dynamic nonlinearity. Differing from the objects investigated in currently available literature, large-scale civil engineering structures such as hydropower house are more complex and larger size, which stimulate the demand for special identification techniques. Due to the fact that nonlinearity of hydropower house can be induced by many types of interactions between structure and mechanism, a simple similarity model of a multistory building, including damaged contact nonlinearity is studied first following by a discussion of the method for identifying information transmission directionality of the linear or nonlinear structure. The method for identifying the source and degrees of structural nonlinearity vibration is described. Furthermore, the procedure for identification of nonlinearity dynamic behavior in the hydropower house structure based on transfer entropy is studied based on a prototype field experiment under various load cases. Rather than the traditional linear signal processing tools and identification methods, the advantage of this proposed method is to identify the nonlinearity dynamic characteristics of hydropower house structure. This study provides a valuable reference for identifying the damage-induced nonlinearities in civil engineering structures as well as studying the nonlinear dynamic characteristics of hydropower house.

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References

  1. Ma, Z.Y., Sun, W.Q.: Dynamic identification for underground power house based on genetic algorithm. J. Dalian Univ. Technol. 44(2), 292–296 (2004)

    Google Scholar 

  2. Sun, W., Ma, Z., et al.: Intelligent identification of underground powerhouse of pumped-storage power plant. Acta Mech. Sin. 21(2), 187–191 (2005)

    Article  MATH  Google Scholar 

  3. Qin, L., Wang, Z.: Study on identification of vibration source and the influence on hydropower plant structure. J. Hydroelectr. Eng. 27(4), 135–140 (2008)

    Google Scholar 

  4. Lian, J., Tian, H., Qin, L., Zhang, Y.: The method to identify dynamic characteristics of hydro plants supporting structure using machine halting process. Eng. Sci. 8(4), 73–75 (2006)

    Google Scholar 

  5. Yang, X.: Research on generating set vibration and coupled that and hydropower house vibration in hydropower station. Doctor dissertation at Dalian University of Technology. China. 2006

  6. Szolc, T., Tauzowski, P., Knabel, J., Stocki, R.: Nonlinear and parametric coupled vibrations of the rotor-shaft system as fault identification symptom using stochastic methods. Nonlinear Dyn. 57(4), 533–557 (2009)

    Article  MATH  Google Scholar 

  7. Schreiber, T.: Measuring information transfer. Phys. Rev. Lett. 85, 461–464 (2000)

    Article  Google Scholar 

  8. Nichols, J.M., Seaver, M., Trickey, S.T., Todd, M.D., Olson, C.C., Overbey, L.A.: Detecting nonlinearity in structural systems using the transfer entropy. Phys. Rev. E 72, 1–11 (2005)

    Article  Google Scholar 

  9. Nichols, J.M., Seaver, M., Trickey, S.T.: A method for detecting damage-induced nonlinearities in structures using information theory. J. Sound Vib. 297, 1–16 (2006)

    Article  Google Scholar 

  10. Nichols, J.M.: Examining structural dynamics using information flow. Probab. Eng. Mech. 21, 420–433 (2006)

    Article  Google Scholar 

  11. Cover, T.M., Thomas, J.A.: Elements of Information Theory. Wiley, New York (1991)

    Book  MATH  Google Scholar 

  12. Overbey, L.A., Todd, M.D.: Dynamic system change detection using a modification of the transfer entropy. J. Sound Vib. 322, 438–453 (2009)

    Article  Google Scholar 

  13. Overbey, L.A., Todd, M.D.: Effects of noise on transfer entropy estimation for damage detection. Mech. Syst. Signal Process. 23, 2178–2191 (2009)

    Article  Google Scholar 

  14. Nichols, J.M., Seaver, M., Trickey, S.T., Todd, M.D., Olson, C.C., Overbey, L.A.: Detecting nonlinearity in structural systems using the transfer entropy. Phys. Rev. E 72, 1–11 (2005)

    Article  Google Scholar 

  15. Liebert, W., Schuster, H.G.: Proper choice of the time delay for the analysis of chaotic time series. Phys. Lett. A 142, 107–111 (1989)

    Article  MathSciNet  Google Scholar 

  16. Prichard, D., Theiler, J.: Generalized redundancies for time series analysis. Physica D 84, 476–493 (1984)

    Article  Google Scholar 

  17. Nichols, J.M., Seaver, M., Trickey, S.T., Salvino, L.W., Pecora, D.L.: Detecting impact damage in experimental composite structures: an information-theoretic approach. Smart Mater. Struct. 14, 1–11 (2005)

    Article  Google Scholar 

  18. Nichols, J.M., Seaver, M., Trickey, S.T., Bash, T., Kasarda, M.: Use of information theory in structural monitoring applications. In: Chang, F.-K. (ed.) Proceedings of the Fifth International Workshop on Structural Health Monitoring. DEStech Publications, Lancaster (2005)

    Google Scholar 

  19. Duan, P., Yang, F., Chen, T., Shah, S.L.: Direct Causality Detection via the Transfer Entropy Approach. IEEE Trans. Control Syst. Technol., January 9 (2013)

  20. Xie, Z.-K., Liu, G.-H., Wu, Z.-G.: Dynamic damage identification for beam structures based on transfer entropy. Zhejiang Daxue Xuebao (Gongxue Ban)/Journal of Zhejiang University (Engineering Science) 46(10), 1880–1886 (2012)

    Google Scholar 

  21. Shen, X., Jia, J., Zhao, M., Jing, J.: Experimental and numerical analysis of nonlinear dynamics of rotor-bearing-seal system[J]. Nonlinear Dyn. 53, 31–44 (2008)

    Article  MATH  Google Scholar 

  22. Wang, Y.: Dynamic response analysis of cracked hydropower house and spiral case. Master thesis (2006). Dalian University of Technology

  23. ANSYS Help—Theory Reference

  24. Mallat, S.G.: A Wavelet Tour of Signal Processing. Academic Press, San Diego (1998)

    MATH  Google Scholar 

  25. Ohura, Y., et al.: Vibration of Powerhouse Structure of a Pumped-Storage Power Plant[A]. Belgrade: Proceedings of IAHR 15th Symposium[C]. 1990

Download references

Acknowledgement

This work was supported by “the Fundamental Research Funds for the Central Universities” (10MG33), and by Open Research Fund Program of State key Laboratory of Hydroscience and Engineering, Tsinghua University (sklhse-2010-C-01).

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Correspondence to Wan-Quan Sun.

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Sun, WQ., Yan, DM. Identification of the nonlinear vibration characteristics in hydropower house using transfer entropy. Nonlinear Dyn 75, 673–691 (2014). https://doi.org/10.1007/s11071-013-1094-2

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  • DOI: https://doi.org/10.1007/s11071-013-1094-2

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