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TECHNICAL PAPERS

Estimating the Probability Distribution of von Mises Stress for Structures Undergoing Random Excitation

[+] Author and Article Information
Dan Segalman, Garth Reese

Richard Field, Clay Fulcher

Sandia National Laboratories, * Organization 9234, MS 0847, PO Box 5800, Albuquerque, NM 87185

J. Vib. Acoust 122(1), 42-48 (Jul 01, 1999) (7 pages) doi:10.1115/1.568442 History: Received July 01, 1999
Copyright © 2000 by ASME
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References

Figures

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A collection of boxes entirely contained in the ellipsoid, is an admissible VL({D},Y,α).
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Finite element model of hollow cylinder
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Acceleration PSD imposed at base of cylinder
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Contours of the rank of D over the surface of the cylinder
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Probability density functions for von Mises stress at location A. Filled curve is the histogram of Monte Carlo simulation and the solid curve is that predicted by the method presented in this paper.
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Probability density functions for von Mises stress at location B. Filled curve is the histogram of Monte Carlo simulation and the solid curve is that predicted by the method presented in this paper.
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Probability density functions for von Mises stress at location C. Filled curve is the histogram of Monte Carlo simulation and the solid curve is that predicted by the method presented in this paper.
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Probability density functions for von Mises stress at location D. Filled curve is the histogram of Monte Carlo simulation and the solid curve is that predicted by the method presented in this paper.
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Cumulative probability for three cases of the matrix D, taken from Table 1
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Contours of RMS von Mises stress (kPa) resulting from random forces applied in the Y direction at the cylinder tip.
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Contour plot of the logarithm of the probability that von Mises stress is greater than 2000 kPa

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