Abstract
Modal identification from response data only is studied for structural systems under nonstationary ambient vibration. By assuming the ambient excitation to be nonstationary white noise in the form of a product model and introducing a technique of curve fitting, the practical problem of insufficient data samples available for evaluating nonstationary correlation functions or randomdec signatures can be approximately resolved by first extracting the amplitude-modulating function from the response and then transforming the nonstationary responses into stationary ones. Modal-parameter identification can then be performed using the Ibrahim time-domain method in conjunction with the correlation technique and random decrement algorithm, respectively. A comparison of correlation technique and random decrement algorithm is demonstrated through numerical simulations, which also confirm the validity of the proposed method for identification of modal parameters from nonstationary ambient response data.
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References
Asmussen JC, Ibrahim SR, Brincker R (1996) Random decrement and regression analysis of bridges traffic responses. In: Proceedings of the 14th international modal analysis conference, Dearborn, 1996, vol 1. pp 453–458
Ibrahim SR, Mikulcik EC (1977) A method for the direct identification of vibration parameters from free response. Shock Vib Bull 47(4):183–198
James GH, Carne TG, Lauffer JP (1993) The natural excitation technique for modal parameter extraction from operating wind turbines. SAND92-1666. UC-261, Sandia National Laboratories, Sandia
Vandiver JK, Dunwoody AB, Campbell RB, Cook MF (1982) A mathematical basis for the random decrement vibration signature analysis technique. ASME J Mech Des 104:307–313
Bedewi NE (1986) The mathematical foundation of the auto and cross-random decrement techniques and the development of a system identification technique for the detection of structural deterioration. Ph.D. thesis, University of Maryland College Park, College Park
Chiang DY, Lin CS (2010) Identification of modal parameters from ambient vibration data using eigensystem realization algorithm with correlation technique. J Mech Sci Technol 24(12):2377–2382
Shinozuka M (1971) Simulation of multivariate and multidimensional random processes. J Acoust Soc Am 49(1):357–367
Newmark NM (1959) A method of computation for structural dynamics. J Eng Mech ASCE 85(EM3):67–94
Allemang RL, Brown DL (1983) A correlation coefficient for modal vector analysis. In: Proceedings of the 1st international modal analysis conference, Society for Experiment Mechanics, Bethel, 1983, pp 110–116
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Lin, CS., Tseng, TC., Chen, JR., Chiang, DY. (2013). A Comparison of Correlation Technique and Random Decrement Algorithm for Modal Identification from Nonstationary Ambient Vibration Data Only. In: Juang, J., Huang, YC. (eds) Intelligent Technologies and Engineering Systems. Lecture Notes in Electrical Engineering, vol 234. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6747-2_87
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DOI: https://doi.org/10.1007/978-1-4614-6747-2_87
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