Study on State Recognition of ASCE Benchmark Based on Lyapunov Exponent Spectrum Entropy

Jian Xi Yang; Jian Ting Zhou; Yue Chen

doi:10.4028/www.scientific.net/AMR.243-249.5435

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 243-249Study on State Recognition of ASCE Benchmark Based...

Study on State Recognition of ASCE Benchmark Based on Lyapunov Exponent Spectrum Entropy

Abstract:

The paper has made a maximum Lyapunov exponent and Lyapunov exponent spectrum entropy analysis of ASCE Benchmark using non-linear theory and chaos time sequence. The maximum Lyapunov exponents in the two kinds of structural monitored data are both over zero, indicating that in the structural system chaos phenomenon has appeared. And, experiments have shown that the maximum Lyapunov exponent is sensitive of the amount of samples and the time delay. So, to compute the chaos index, the amount of samples and the time duration are of importance. Meanwhile, the Lyapunov exponent spectrum entropy is effective to measure the chaotic characteristic of the system, but ,the entropy is less sensitive to state recognition more than the max Lyapunov exponent.

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Periodical:

Advanced Materials Research (Volumes 243-249)

Pages:

5435-5439

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.243-249.5435

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Online since:

May 2011

Authors:

Jian Xi Yang, Jian Ting Zhou, Yue Chen

Keywords:

ASCE Benchmark, Chaos, Lyapunov Exponent, Lyapunov Exponent Entropy, Security Evaluation, Time-Series

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References

[1] LIU Zonghua, chief author. Chaos dynamics foundation and application [M].Beijing：Higher Education Press，2006.

Google Scholar

[2] Bogaert Van. Dynamic Response of Trains Crossing Large Span Double-track Bridges[J].Journal of Construction Steel Research,1993,24(1):575-74.

DOI: 10.1016/0143-974x(93)90063-x

Google Scholar

[3] Y B Yang,J D Yau, L C Hsu. Vibration of simple beams due to trains moving at high speeds[J].Engineering Structures,1997,19(11):936-944.

DOI: 10.1016/s0141-0296(97)00001-1

Google Scholar

[4] Xu Kejun, Jiang Longping, Study of Fault Diagnosis for Aircraft Engine based on Lyapunov Exponents[J] ,Chinese Journal of Applied.

Google Scholar

[5] Mechanics, 2006, vol(23). 3:488-492(In Chinses).

Google Scholar

[6] Jianxi Yang, Zhi Deng, Jiaomei Wu, Non-linear Study on Chaos in Bridge Structures Based on Chaos Time Sequence[J]. Intelligent Automation and Soft Computing, Vol. 15, No. X, pp.1-9, 2009.

DOI: 10.1080/10798587.2010.10643113

Google Scholar

[7] Jianting Zhou, Yue Chen, Yin Lu, Lyapunov Exponent Analysis on real-time Monitoring Information of Extractive Structure Health Based on Chaos Time Sequence[J]. Intelligent Automation and Soft Computing, Vol. 15, No. X, pp.1-9, 2009.

DOI: 10.1080/10798587.2010.10643116

Google Scholar

[8] HAN Min, chief author. Theory and method of predicting chaos time sequence [M]. Beijing: China Waterpower Press，2007.

Google Scholar

[9] E.A. Johnson, H.F. Lam, L.S. Karafygiotis, et al. A Benchmark Problem for Structure Health Monitoring and Damage Detection. Proceedings of the Engineering Mechanics Specialty Conference. Austin, Texas, 2000.

Google Scholar