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TECHNICAL PAPERS

Effective System Properties and Special Density in Random Vibration With Parametric Excitation

[+] Author and Article Information
S. Krenk, F. Rüdinger

Department of Mechanical Engineering, Technical University of Denmark, DK-2800 Lyngby, Denmark

Y. K. Lin

Center for Applied Stochastics Research, Florida Atlantic University, Boca Raton, FL 33431

J. Appl. Mech 69(2), 161-170 (Aug 13, 2001) (10 pages) doi:10.1115/1.1430665 History: Received January 22, 2001; Revised August 13, 2001
Copyright © 2002 by ASME
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References

Figures

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Conditional expectations: (a) potential force via E[*|x], (b) exponent ψ(λ) and damping via E[*|λ]
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Probability density pλ̃(λ̃); (a) ζ=0.05,ω0S110S22=0.0064, (b) ζ=0.1,ω0S110S22=0.012
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Auto-spectral density Sx(ω)ω0x2; (a) ζ=0.05,ω0S110S22=0.0064, (b) ζ=0.1,ω0S110S22=0.012
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Auto-spectral density Sx(ω)ω0x2; (a) ζ=0.05,ω0S110S22=0.0064, (b) ζ=0.1,ω0S110S22=0.012
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Probability density px,ẋ(x,ẋ) for (a) α̃=0, (b) α̃=0.5, (c) α̃=5
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Probability density of nondimensional energy; (a) α̃=0.5, (b) α̃=5
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Auto-spectral density of position; (a) α̃=0.5,α=0.01, (b) α̃=0.5,α=0.1, (c) α̃=5,α=0.01, (d) α̃=5,α=0.1

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