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TECHNICAL PAPERS

Energy-Based Stochastic Estimation for Nonlinear Oscillators With Random Excitation

[+] Author and Article Information
J. B. Roberts, M. Vasta

School of Engineering, University of Sussex, Falmer, Brighton, East Sussex BN1 9QT, UK

J. Appl. Mech 67(4), 763-771 (Aug 14, 2000) (9 pages) doi:10.1115/1.1330546 History: Received June 23, 1999; Revised August 14, 2000
Copyright © 2000 by ASME
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Figures

Grahic Jump Location
(a) Comparison of estimated energy values with the exact values, (b) scatter plot of the estimates of the linear and nonlinear stiffness parameters
Grahic Jump Location
(a) Variation of the slope of the diffusion coefficient with Δt, (b) comparison between the estimated and true variation of the diffusion coefficient with energy level, (c) comparison between the estimated variation and true variation of the drift coefficient with energy level, (d) comparison between the estimated and true damping function variation with energy level, (e) estimated histogram of the energy, (f ) comparison between estimates of the input power spectrum and the true spectrum, (g) variation with frequency of the standard deviation of the estimates of the input power spectrum, (h) variation of the frequency of free undamped oscillation with energy level, (i) scatter plot for the estimates of the linear and nonlinear damping parameters
Grahic Jump Location
(a) Three-dimensional plot of Jd versus a⁁ and b⁁; (b) contour plot of Jd versus a⁁ and b⁁; (c) scatter plots of the estimates of the linear and nonlinear damping parameters, for two different excitation levels, showing the intersection of the regression lines; (d) enlarged plot of part of Fig. 3(b); (e) scatter plots of the estimates of the linear and nonlinear stiffness parameters, for two different excitation levels, showing the intersection of the regression lines

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