Extreme Response of the Linear Oscillator with Modulated Random Excitation

1984 ◽  
pp. 503-512
Author(s):  
A. M. Hasofer ◽  
P. Petocz
Keyword(s):  
Random Excitation ◽  
Linear Oscillator ◽  
Extreme Response

Solution to the Backward-Kolmogorov Equation for a Nonstationary Oscillation Problem

1982 ◽  
Vol 49 (4) ◽  
pp. 923-925 ◽  
Author(s):  
G. P. Solomos ◽  
P-T. D. Spanos
Keyword(s):  
Random Excitation ◽  
Response Amplitude ◽  
Kolmogorov Equation ◽  
Linear Oscillator ◽  
Markov Approximation ◽  
Nonstationary Oscillation ◽  
Oscillation Problem ◽  
Backward Kolmogorov Equation

The solution of a backward-Kolmogorov equation is presented. This equation is associated with a Markov approximation of the response amplitude of a lightly damped linear oscillator driven by an evolutionary random excitation.

Probability of First-Passage Failure for Nonstationary Random Vibration

1975 ◽  
Vol 42 (3) ◽  
pp. 716-720 ◽  
Author(s):  
J. B. Roberts
Keyword(s):  
White Noise ◽  
Barrier Height ◽  
Random Vibration ◽  
Series Solution ◽  
Short Pulse ◽  
Random Excitation ◽  
Numerical Results ◽  
Linear Oscillator ◽  
First Passage ◽  
First Passage Failure

The problem of calculating the probability of first-passage failure, Pf, is considered, for systems responding to a short pulse of nonstationary random excitation. It is shown, by an analysis based on the “in and exclusion” series, that, under certain conditions, Pf tends to Pf*, the probability calculated by assuming Poisson distributed barrier crossings, as the barrier height, b, tends to infinity. The first three terms in the series solution provide bounds to Pf which converge when b is large. Methods of estimating Pf from these terms are presented which are useful even when the series is divergent. The theory is illustrated by numerical results relating to a linear oscillator excited by modulated white noise.

Response statistic of strongly non-linear oscillator to combined deterministic and random excitation

2004 ◽  
Vol 39 (6) ◽  
pp. 871-878 ◽  
Author(s):  
Rong Haiwu ◽  
Meng Guang ◽  
Wang Xiangdong ◽  
Xu Wei ◽  
Fang Tong
Keyword(s):  
Random Excitation ◽  
Linear Oscillator ◽  
Non Linear ◽  
Non Linear Oscillator

New Evidence on the Construct Validity of the ASI-3 and the Dimensional Conceptualization of Trait Anxiety Sensitivity From IRT Modeling

2017 ◽  
Vol 33 (3) ◽  
pp. 181-189 ◽  
Author(s):  
Christoph J. Kemper ◽  
Michael Hock
Keyword(s):  
Construct Validity ◽  
Anxiety Sensitivity ◽  
Latent Class ◽  
Dimensional Structure ◽  
Sensitivity Index ◽  
Response Scale ◽  
Established Risk Factor ◽  
Irt Models ◽  
Level Data ◽  
Extreme Response

Abstract. Anxiety Sensitivity (AS) denotes the tendency to fear anxiety-related sensations. Trait AS is an established risk factor for anxiety pathology. The Anxiety Sensitivity Index-3 (ASI-3) is a widely used measure of AS and its three most robust dimensions with well-established construct validity. At present, the dimensional conceptualization of AS, and thus, the construct validity of the ASI-3 is challenged. A latent class structure with two distinct and qualitatively different forms, an adaptive form (normative AS) and a maladaptive form (AS taxon, predisposing for anxiety pathology) was postulated. Item Response Theory (IRT) models were applied to item-level data of the ASI-3 in an attempt to replicate previous findings in a large nonclinical sample (N = 2,603) and to examine possible interpretations for the latent discontinuity observed. Two latent classes with a pattern of distinct responses to ASI-3 items were found. However, classes were indicative of participant’s differential use of the response scale (midpoint and extreme response style) rather than differing in AS content (adaptive and maladaptive AS forms). A dimensional structure of AS and the construct validity of the ASI-3 was supported.

Sign in / Sign up

Export Citation Format

Share Document