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Stochastic analysis of the dynamics of a nonlinear structure model at substantially nonnormal distribution laws

  • Mechanics of Machines
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Abstract

The problem of determining the one-dimensional distribution laws of the dynamic characteristics of a nonlinear mechanical system under stationary or quasi-stationary external influences is considered. Using the method of moments, applied to a statistically linearized system and special transformations, non-Gaussian distribution laws of dynamic characteristics are determined. The boundaries of the regions of their spread at given probabilities of hitting the area are calculated. The results are illustrated by an example.

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Authors and Affiliations

  1. cientific and educational complex “Spetsialnoe mashinostroenie”, Moscow, Russia

    O. N. Tushev & A. M. Donskikh

Authors
  1. O. N. Tushev
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  2. A. M. Donskikh
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Corresponding author

Correspondence to A. M. Donskikh.

Additional information

Original Russian Text © O.N. Tushev, A.M. Donskikh, 2014, published in Problemy Mashinostroeniya i Nadezhnosti Mashin, 2014, No. 6, pp. 17–22.

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Tushev, O.N., Donskikh, A.M. Stochastic analysis of the dynamics of a nonlinear structure model at substantially nonnormal distribution laws. J. Mach. Manuf. Reliab. 43, 465–469 (2014). https://doi.org/10.3103/S1052618814060120

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  • DOI: https://doi.org/10.3103/S1052618814060120

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