Probabilistic Methods for Rotordynamics Analysis

Paper #:
  • 911110

Published:
  • 1991-04-01
Citation:
Wu, Y., Torng, T., Millwater, H., Fossum, A. et al., "Probabilistic Methods for Rotordynamics Analysis," SAE Technical Paper 911110, 1991, https://doi.org/10.4271/911110.
Pages:
14
Abstract:
This paper summarizes the development of the methods and a computer program to compute the probability of instability of dynamic systems that can be represented by a system of second-order ordinary linear differential equations. Two instability criteria based upon the eigenvalues or Routh-Hurwitz test functions are investigated. Computational methods based on a fast probability integration concept and an efficient adaptive importance sampling method are proposed to perform efficient probabilistic analysis. A numerical example is provided to demonstrate the methods.
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