Estimating the probability distribution of von Mises stress for structures undergoing random excitation. Part 1: Derivation

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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 ... continued below

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5 p.

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Segalman, D. & Reese, G. September 1, 1998.

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  • Sandia National Laboratories
    Publisher Info: Sandia National Labs., Albuquerque, NM (United States)
    Place of Publication: Albuquerque, New Mexico

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Description

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, the authors present a method that provides analytic expressions for the probability distributions of von Mises stress which can be evaluated efficiently and with good precision numerically. Further, this new approach has the important advantage of providing the asymptotic properties of the probability distribution.

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5 p.

Notes

OSTI as DE98006289

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  • 1998 international mechanical engineering congress and exposition, Anaheim, CA (United States), 15-20 Nov 1998

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  • Other: DE98006289
  • Report No.: SAND--98-1955C
  • Report No.: CONF-981107--
  • Grant Number: AC04-94AL85000
  • Office of Scientific & Technical Information Report Number: 674589
  • Archival Resource Key: ark:/67531/metadc709186

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  • September 1, 1998

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  • Sept. 12, 2015, 6:31 a.m.

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  • April 13, 2016, 1:46 p.m.

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Segalman, D. & Reese, G. Estimating the probability distribution of von Mises stress for structures undergoing random excitation. Part 1: Derivation, article, September 1, 1998; Albuquerque, New Mexico. (digital.library.unt.edu/ark:/67531/metadc709186/: accessed April 25, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.