The von Mises stress is often used as the metric for evaluating design margins, particularly for structures made of ductile materials. For deterministic loads, both static and dynamic, the calculation of von Mises stress is straightforward, as is the resulting calculation of reliability. For loads modeled as random processes, the task is different; the response to such loads is itself a random process and its properties must be determined in terms of those of both the loads and the system. This has been done in the past by Monte Carlo sampling of numerical realizations that reproduce the second order statistics of the problem. Here, we present a method that provides analytic expressions for the probability distributions of von Mises stress which can be evaluated efficiently and with good numerical precision. Further, this new approach has the important advantage of providing the asymptotic properties of the probability distribution. [S0739-3717(00)00801-1]
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January 2000
Technical Papers
Estimating the Probability Distribution of von Mises Stress for Structures Undergoing Random Excitation
Richard Field,, Jr., Assoc. Mem. ASME,
Richard Field,, Jr., Assoc. Mem. ASME
Sandia National Laboratories, Organization 9234, MS 0847, PO Box 5800, Albuquerque, NM 87185
*
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Clay Fulcher
Clay Fulcher
Sandia National Laboratories, Organization 9234, MS 0847, PO Box 5800, Albuquerque, NM 87185
*
Search for other works by this author on:
Richard Field,, Jr., Assoc. Mem. ASME
Sandia National Laboratories, Organization 9234, MS 0847, PO Box 5800, Albuquerque, NM 87185
*
Clay Fulcher
Sandia National Laboratories, Organization 9234, MS 0847, PO Box 5800, Albuquerque, NM 87185
*Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received July 1999. Associate Technical Editor: R. Ibrahim.
J. Vib. Acoust. Jan 2000, 122(1): 42-48 (7 pages)
Published Online: July 1, 1999
Article history
Received:
July 1, 1999
Citation
Segalman , D., Reese , G., Field, , R., Jr. , and Fulcher , C. (July 1, 1999). "Estimating the Probability Distribution of von Mises Stress for Structures Undergoing Random Excitation ." ASME. J. Vib. Acoust. January 2000; 122(1): 42–48. https://doi.org/10.1115/1.568442
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