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Probability distribution of von Mises stress in the presence of pre-load

Segalman, Daniel J.; Field, Richard V.; Reese, Garth M.

Random vibration under preload is important in multiple endeavors, including those involving launch and re-entry. There are some methods in the literature to begin to address this problem, but there is nothing that accommodates the existence of preloads and the necessity of making probabilistic statements about the stress levels likely to be encountered. An approach to achieve to this goal is presented along with several simple illustrations.