This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
Probabilistic Methods for Rotordynamics Analysis
Annotation ability available
Sector:
Language:
English
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.
Authors
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.Also In
References
- Bellman, R. Stability Theory of Differential Equations Dover Publications New York 1969
- Sanchez, D.A. Ordinary Differential Equations and Stability Theory Dover Publications New York 1979
- Bharucha-Reid, A. T. “Random Algebraic Equations,” Probabilistic Methods in Applied Mathematics Bharucha-Reld, A. T. 2 Academic Press 1970
- Ang, A. H.-S. Tang, W. H. Probability Concepts in Engineering Planning and Design II Wiley 1984
- Ditlevsen, O. “Narrow Reliability Bounds for Structural Systems,” Journal of Structural Mechanics 7 4 453 472 1979
- Hohenbichler, M. Rackwitz, R. “Non-normal Dependent Vectors in Structural Safety,” Journal of the Engineering Mechanics Division , ASCE 100 EM6 1227 1238 Dec. 1981
- Feng, Y. “A Method for Computing Structural System Reliability with High Accuracy,” Computers and Structures 33 1 1 5 1989
- Wu, Y.-T. Burnside, O.H. “Computational Methods for Probability of Instability Calculations,” Proceedings of the 31th SDM Conference 1990
- Wu, Y.-T. Torng T.Y. “A Fast Convolution Procedure for Probabilistic Engineering Analysis,” Proceedings of the First International Symposium on Uncertainty Modeling and Analysis U. of Maryland 1990
- Bjerager, P. “Probability Integration by Directional Simulation,” Journal of Engineering Mechanics 114 8 ASCE 1987
- Meirovitch, L. Dynamics and Control of Structures John Wiley and Sons, Inc. 1990