Abstract
This paper considered identification of vibration characteristics of flexible structure with vector channel periodic lattice filter. We present an algorithm for AR coefficients for the vector-channel lattice filters, and characteristic equation and transfer function are derived from these coefficients. Vibration lattice filter is then constructed from the vector channel lattice filter, and performance of this vibration filter is tested with a test signal which is a combination of many sine waves to compare the performance of scalar and vector channel lattice. Also it is applied to the cantilever data to identify properties of the system, such as natural frequencies and damping ratios, to show its performance.
Similar content being viewed by others
References
Gibson, J. S. and Jabbari, F., 1984, “An ARMA Model for a Class of Distributed Systems,”Proc. CDC, Las Vegas, pp. 1171–1175.
Jabbari, F. and Gibson, J. S., 1988a, “Identification of Flexible Structures Using an Adaptive Order-Recursive Method,”Proc. CDC, Austin, Texas, pp. 1168–1673.
Jabbari, F. and Gibson, J. S., 1988b, “Vector Channel Lattice Filters and Identification of Flexible Structures,”IEEE Trans. Automatic Control, pp. 448–456.
Jabbari, F. and Gibson, J. S., 1989, “Adaptive Identification of Flexible Structures by Lattice Filters,”J. Guidance, Vol. 12, No. 4, pp. 548–554.
Kim, J. Y., Hwang, W. G. and Kee, C. D., 1992, “A Study on Modal Parameter Estimation Using Vector Channel Periodic Lattice Filter,”Proc.,KSME Autumn Annual Meeting, Nov., pp. 595–600.
Lee, D. T. L., Morf, M. and Friedlander, B., 1981, “Recursive Least Squares Ladder Estimation Algorithms,”IEEE Trans. Acoust., Speech, Signal Processing, Vol. ASSP-29, No. 3, June, pp. 627–641.
Pagano, M., 1978, “On Periodic and Multiple Autoregressions,”The Annals of Statistics, Vol. 6, No. 6, pp. 1310–1317.
Sundararajan, N. and Montgomery, R. C., 1983, “Identification of Structural Dynamics Systems Using Least Squares Lattice Filters,”Journal of Guidance, Control, and Dynamics, Vol. 6, Sep–Oct, pp. 374–381.
Sundararajan, N. and Montgomery, R. C., 1985, “Adaptive Modal Control of Structural Dynamics Systems Using Recursive Lattice Filters,”Journal of Guidance, Control and Dynamics, Vol. 8, pp. 223–229.
Wiberg, D. M. and Gillis, J. T., 1985, “Estimation of Frequencies of Vibration Using Lattices,”Proc. of 24th IEEE-CDC, Ft. Lauderdale, Fl.
Wiberg, D. M., 1985, “Frequencies of Vibration Estimated by Lattice,”J. Astronautical Sciences, Vol. 33, No. 1, Jan.–Mar., pp. 48–60.
Wiberg, D. M., Baskin, F. and Lindsay, R.D., 1984, “Lattice Form Recursive Linear Least Square Algorithms,”Modeling, Identification, and Control, Vol. 5, No. 2, pp. 71–101.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Hwang, WG., Im, HE. Vibration filter using vector channel periodic lattice. J Mech Sci Technol 20, 2043–2051 (2006). https://doi.org/10.1007/BF02916321
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02916321