On-Line Parametric Identification of MDOF Nonlinear Hysteretic Systems
Publication: Journal of Engineering Mechanics
Volume 125, Issue 2
Abstract
A method based on adaptive estimation approaches is presented for the on-line identification of hysteretic systems under arbitrary dynamic environments. The availability of such an identification approach is crucial for the on-line control and monitoring of time-varying structural systems. Previous work by the writers is extended to handle the general case when no information is available on the system parameters, even the mass distribution. A robust, least-squares-based adaptive identification algorithm, incorporating a Bouc-Wen hysteresis element model with additional polynomial-type nonlinear terms, is used to investigate the effects of persistence of excitation and of under- and overparameterization: challenging problems in realistic applications. In spite of the challenges encountered in the identification of the hereditary nature of the restoring force of such nonlinear systems, it is shown through the use of simulation studies of single-degree-of-freedom and certain multi-degree-of-freedom systems that the proposed approach can yield reliable estimates of the hysteretic restoring force and the hysteretic element model parameters.
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References
1.
Andronikou, A. M., and Bekey, G. A. ( 1984). “Identification of hysteretic systems.” Proc., 18th IEEE Conf. on Decision and Control, Dec., 1072–1073.
2.
Baber, T. T., and Wen, Y. K. (1981). “Random vibration of hysteretic degrading systems.”J. Engrg. Mech. Div., ASCE, 107(6), 1069–1087.
3.
Benedettini, F., Capecchi, D., and Vestroni, F. (1995). “Identification of hysteretic oscillators under earthquake loading by nonparametric models.”J. Engrg. Mech., ASCE, 121(5), 606–612.
4.
Bouc, R. ( 1967). “Forced vibration of mechanical systems with hysteresis, abstract.” Proc., 4th Conf. on Nonlinear Oscillation, Prague, Czechoslovakia.
5.
Caughey, T. K. ( 1960). “Random excitation of a system with bilinear hysteresis.” J. Appl. Mech., 27, 649–652.
6.
Chassiakos, A. G., Masri, S. F., Smyth, A., and Anderson, J. C. ( 1995). “Adaptive methods for identification of hysteretic structures.” Proc., Am. Control Conf. ACC95, 2349–2353.
7.
Chassiakos, A. G., Masri, S. F., Smyth, A. W., and Caughey, T. K. ( 1998). “On-line identification of hysteretic systems.” J. Appl. Mech., 65(March), 194–203.
8.
Ioannou, P. A., and Sun, J. ( 1996). Robust Adaptive Control, Prentice-Hall, Upper Saddle River, NJ.
9.
Iwan, W. D. ( 1966). “A distributed-element model for hysteresis and its steady-state dynamic response.” J. Appl. Mech., 33(4), 893–900.
10.
Iwan, W. D., and Lutes, L. D. ( 1968). “Response of the bilinear hysteretic system to stationary random excitation.” J. Acoustical Soc. of Am., 43(3), 545–552.
11.
Iwan, W. D., and Cifuentes, A. O. ( 1986). “A model for system identification of degrading structures.” J. Earthquake Engrg. and Struct. Dynamics, 14(6), 877–890.
12.
Jayakumar, P., and Beck, J. L. ( 1987). “System identification using nonlinear structural models.” Proc., Struct. Safety Evaluation Based on Sys. Identification Approaches, 82–102.
13.
Jennings, P. C. (1964). “Periodic response of a general yielding structure.”J. Engrg. Mech. Div., ASCE, 90(2), 131–166.
14.
Loh, C., and Chung, S. ( 1993). “A three-stage identification approach for hysteretic systems.” Earthquake Engrg. and Struct. Dynamics, 22, 129–150.
15.
Masri, S. F. ( 1975). “Forced vibration of the damped bilinear hysteretic oscillator.” J. Acoustical Soc. of Am., 57(1), 106–113.
16.
Masri, S. F., and Caughey, T. K. ( 1979). “A nonparametric identification technique for nonlinear dynamic problems.” J. Appl. Mech., 46(2), 433–447.
17.
Masri, S. F., Miller, R. K., Traina, M.-I., and Caughey, T. K. ( 1991). “Development of bearing friction models from experimental measurements.” J. Sound and Vibration, 148(3), 455–475.
18.
Peng, C. Y., and Iwan, W. D. ( 1992). “An identification methodology for a class of hysteretic structures.” Earthquake Engrg. and Struct. Dynamics, 21, 695–712.
19.
Polycarpou, M. M., and Ioannou, P. A. ( 1992). “Neural networks as on-line approximators of nonlinear systems.” Proc., 31st IEEE CDC, The Institute of Electrical and Electronics Engineers, New York, 7–12.
20.
Roberts, J. B., and Spanos, P. D. ( 1990). Random vibration and statistical linearization. Wiley, New York.
21.
Sato, T., and Qi, K. (1998). “Adaptive H∞ filter: Its applications to structural identification.”J. Engrg. Mech., ASCE, 124(11), 1233–1240.
22.
Spanos, P. D. ( 1981). “Stochastic linearization in structural dynamics.” Appl. Mech. Rev., 34(1), 1–8.
23.
Spencer, B. F., and Bergman, L. A. (1985). “On the reliability of a simple hysteretic system.”J. Engrg. Mech., ASCE, 111, 1502–1514.
24.
Toussi, S., and Yao, J. T. P. (1983). “Hysteretic identification of existing structures.”J. Engrg. Mech., ASCE, 109(5), 1189–1202.
25.
Vinogradov, O., and Pivovarov, I. ( 1986). “Vibrations of a system with non-linear hysteresis.” J. Sound and Vibration, 111(1), 145–152.
26.
Wen, Y. K. (1976). “Method for random vibration of hysteretic systems.”J. Engrg. Mech. Div., ASCE, 102(2), 249–263.
27.
Wen, Y. K. ( 1980). “Equivalent linearization for hysteretic systems under random excitations.” J. Appl. Mech., 47(1), 150–154.
28.
Wen, Y. K. ( 1989). “Methods of random vibration for inelastic structures.” Appl. Mech. Rev., 43(2), 39–52.
29.
Yar, M., and Hammond, J. K. (1987a). “Modeling and response of bilinear hysteretic systems.”J. Engrg. Mech., ASCE, 113, 1000–1013.
30.
Yar, M., and Hammond, J. K. ( 1987b). “Parameter estimation for hysteretic systems.” J. Sound and Vibration, 117(1), 161–172.
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Received: Feb 18, 1998
Published online: Feb 1, 1999
Published in print: Feb 1999
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