A PROPOSAL OF TESTING METHOD ON THE EXACT STEADY STATE PROBABILITY DENSITY FUNCTION OF NON-LINEAR STOCHASTIC SYSTEM

2000 ◽  
Vol 230 (5) ◽  
pp. 1165-1176 ◽  
Author(s):  
R. WANG ◽  
K. YASUDA ◽  
Z. ZHANG
Keyword(s):  
Steady State ◽  
Probability Density Function ◽  
Probability Density ◽  
Density Function ◽  
Stochastic System ◽  
State Probability ◽  
Steady State Probability ◽  
Testing Method ◽  
Linear Stochastic System ◽  
Non Linear

scholarly journals A Novel Limit Distribution for the Analysis of Randomly Mistuned Bladed Disks

1996 ◽  
Author(s):  
Marc P. Mignolet ◽  
Chung-Chih Lin
Keyword(s):  
Steady State ◽  
Probability Density Function ◽  
Probability Density ◽  
Density Function ◽  
Perturbation Technique ◽  
Practical Case ◽  
Numerical Examples ◽  
Critical Effect ◽  
Form Model ◽  
Steady State Amplitude

A recently introduced perturbation technique is employed to derive a novel closed form model for the probability density function of the resonant and near-resonant, steady state amplitude of blade response in randomly mistuned disks. In its most general form, this model is shown to involve six parameters but, in the important practical case of a pure stiffness (or frequency) mistuning, only three parameters are usually sufficient to completely specify this distribution. A series of numerical examples are presented that demonstrate the extreme reliability of this three-parameter model in accurately predicting the entire probability density function of the amplitude of response, and in particular the large amplitude tail of this distribution which is the most critical effect of mistuning.

A Novel Limit Distribution for the Analysis of Randomly Mistuned Bladed Disks1

2000 ◽  
Vol 123 (2) ◽  
pp. 388-394 ◽  
Author(s):  
M. P. Mignolet ◽  
C.-C. Lin ◽  
B. H. LaBorde
Keyword(s):  
Steady State ◽  
Probability Density Function ◽  
Probability Density ◽  
Density Function ◽  
Perturbation Technique ◽  
Practical Case ◽  
Numerical Examples ◽  
Critical Effect ◽  
Form Model ◽  
Steady State Amplitude

A recently introduced perturbation technique is employed to derive a novel closed form model for the probability density function of the resonant and near-resonant, steady state amplitude of blade response in randomly mistuned disks. In its most general form, this model is shown to involve six parameters but, in the important practical case of a pure stiffness (or frequency) mistuning, only three parameters are usually sufficient to completely specify this distribution. A series of numerical examples are presented that demonstrate the reliability of this three-parameter model in accurately predicting the entire probability density function of the amplitude of response, and in particular the large amplitude tail of this distribution, which is the most critical effect of mistuning.

Sign in / Sign up

Export Citation Format

Share Document