Detecting Parameter Changes Using Experimental Nonlinear Dynamics and Chaos

[+] Author and Article Information
R. S. Chancellor, R. M. Alexander, S. T. Noah

Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843-3123

J. Vib. Acoust 118(3), 375-383 (Jul 01, 1996) (9 pages) doi:10.1115/1.2888193 History: Received February 01, 1994; Revised October 01, 1994; Online February 26, 2008


A method of detecting parameter changes using analytical and experimental nonlinear dynamics and chaos is applied to a piecewise-linear oscillator. Experimental data show the chaotic nature of the system through phase portraits, Poincaré maps, frequency spectra and bifurcation diagrams. Unstable periodic orbits were extracted from each chaotic time series obtained from the system with six different parameter values. Movement of the unstable periodic orbits in phase space is used to detect parameter changes in the system.

Copyright © 1996 by The American Society of Mechanical Engineers
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