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.
Probabilistic Methods for Rotordynamics Analysis
Sae Technical Papers
Aerospace Atlantic Conference & Exposition ; 1991
1991-04-01
Conference paper
English
Turbomachinery rotordynamics : Phenomena, modeling and analysis
TIBKAT | 1993
|Rotordynamics of turbomachinery
TIBKAT | 1988
|Machinery vibration and rotordynamics
TIBKAT | 2010
|Online Contents | 2007
|