Rational Fraction Polynomial Method and Random Decrement Technique for Force-Excited Acceleration Responses
Publication: Journal of Structural Engineering
Volume 135, Issue 9
Abstract
This paper addresses a parameter identification problem of a linear dynamic system resulting from forced acceleration responses when input forces are unknown. The problem is attributed to an input force imposed on its impulse acceleration response function. An identification procedure is provided as a solution to reduce the error caused by the identification problem. The procedure applies the mode indicator function, the complex mode indication function, and the rational fraction polynomial method to identify the modal parameters of the dynamic system from the frequency response functions of the random decrement signatures. Applicability of this procedure is investigated through numerical simulations of a three degree-of-freedom dynamic system loaded by Gaussian white and color noise forces. For the purpose of comparison, the autoregressive model is also used to analyze the same example. Results show that the proposed procedure can improve the identification accuracy of the modal parameters from the acceleration-based random decrement signatures, when comparing with the use of the autoregressive model.
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Acknowledgments
This research was supported by the Ministry of Education, Culture, Sports, Science and Technology, Japan, through the 21st Century Center of Excellence Program, 2003–2007 and the Global Center of Excellence Program, 2008–2012.UNSPECIFIED
References
Allemang, R. L., and Brown, D. L. (1983). “A correlation coefficient for modal vector analysis.” Proc., 1st Int. Modal Analysis Conf., Union College, Orlando, Fla., 110–116.
Bedewi, N. E. (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. dissertation, Dept. of Mechanical Engineering, Univ. of Maryland, College Park, Md.
Hart, G. C., and Wong, K. (2000). Structural dynamics for structural engineers, Wiley, N.Y.
He, J. M., and Fu, Z. F. (2001). “Modal analysis methods-frequency domain.” Modal analysis, Butterworth-Heinemann, Oxford, U.K., 174–176.
Huang, C. S. (2001). “Structural identification from ambient vibration measurement using the multivariate AR model.” J. Sound Vib., 241(3), 337–359.
Huang, C. S., and Yeh, C. H. (1999). “Some properties of randomdec signatures.” Mech. Syst. Signal Process., 13(3), 491–507.
Ibrahim, S. R. (1977). “Random decrement technique for modal identification of structures.” AIAA J., 14(11), 696–700.
Ku, C. J. (2004). “Random decrement based method for parameter identification of wind-excited building models using acceleration responses.” Ph.D. dissertation, Civil Engineering Dept., Colorado State Univ., Fort Collins, Colo.
Ku, C. J., Cermak, J. E., and Chou, L. S. (2007a). “Biased modal estimates from random decrement signatures of forced acceleration responses.” J. Struct. Eng., 133(8), 1180–1185.
Ku, C. J., Cermak, J. E., and Chou, L. S. (2007b). “Random decrement based method for modal parameter identification of a dynamic system using acceleration responses.” J. Wind. Eng. Ind. Aerodyn., 95(6), 389–410.
Neumaier, A., and Schneider, T. (2001). “Estimation of parameters and eigenmodes of multivariate autoregressive models.” ACM Trans. Math. Softw., 27(1), 27–57.
Pappa, R. S., Elliott, K. B., and Schenk, A. (1993). “Consistent-mode indicator for the eigensystem realization algorithm.” J. Guid. Control Dyn., 16(5), 852–858.
Pintelon, R., Guillaume, P., Rolain, Y., Schoukens, J., and Van Hamme, H. (1994). “Parametric identification of transfer functions in the frequency domain—A survey.” IEEE Trans. Autom. Control, 39(11), 2245–2259.
Shih, C. Y., Tsuei, Y. G., Allemang, R. J., and Brown, D. L. (1988). “Complex mode indication function and its applications to spatial domain parameter estimation.” Mech. Syst. Signal Process., 2(4), 367–377.
Spanos, P. D., and Zeldin, B. A. (1998). “Generalized random decrement method for analysis of vibration data.” Trans. ASME, J. Appl. Mech., 120, 806–813.
Vandiver, J. K., Dunwoody, A. B., Campbell, R. B., and Cook, M. F. (1982). “A mathematical basis for the random decrement vibration signature analysis technique.” ASME J. Mech. Des., 104, 307–313.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 135 • Issue 9 • September 2009
Pages: 1134 - 1138
Copyright
© 2009 ASCE.
History
Received: Feb 7, 2007
Accepted: May 11, 2009
Published online: Aug 14, 2009
Published in print: Sep 2009
Notes
Note. Associate Editor: Jonathan Q. S. Li
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