Abstract
The reliability of structural systems with time-invariant, uncertain parameters subjected to stochastic excitation is investigated. The properties of the system, such as stiffness, mass, and damping, are uncertain, and are modeled as continuous random variables. First- and second-order reliability methods are used to approximate the probability of a critical response exceeding a specified threshold. Measures of sensitivity of the probability with respect to the uncertain parameters are derived and examined for example systems. It is found that uncertainty in the parameters of certain systems may have significant influence on the irreliability, even when the input is a wideband stochastic process. Examples of such systems include composite systems, such as equipment-structure systems, in which the natural frequencies of individual subsystems are uncertain and are likely to coincide.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 812-832 |
| Number of pages | 21 |
| Journal | Journal of Engineering Mechanics |
| Volume | 114 |
| Issue number | 5 |
| DOIs | |
| State | Published - Jan 1 1988 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Mechanics of Materials
- Mechanical Engineering
Cite this
Response of uncertain systems to stochastic excitation. / Igusa, Takeru; Kiureghian, Armender.
In: Journal of Engineering Mechanics, Vol. 114, No. 5, 01.01.1988, p. 812-832.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Response of uncertain systems to stochastic excitation
AU - Igusa, Takeru
AU - Kiureghian, Armender
PY - 1988/1/1
Y1 - 1988/1/1
N2 - The reliability of structural systems with time-invariant, uncertain parameters subjected to stochastic excitation is investigated. The properties of the system, such as stiffness, mass, and damping, are uncertain, and are modeled as continuous random variables. First- and second-order reliability methods are used to approximate the probability of a critical response exceeding a specified threshold. Measures of sensitivity of the probability with respect to the uncertain parameters are derived and examined for example systems. It is found that uncertainty in the parameters of certain systems may have significant influence on the irreliability, even when the input is a wideband stochastic process. Examples of such systems include composite systems, such as equipment-structure systems, in which the natural frequencies of individual subsystems are uncertain and are likely to coincide.
AB - The reliability of structural systems with time-invariant, uncertain parameters subjected to stochastic excitation is investigated. The properties of the system, such as stiffness, mass, and damping, are uncertain, and are modeled as continuous random variables. First- and second-order reliability methods are used to approximate the probability of a critical response exceeding a specified threshold. Measures of sensitivity of the probability with respect to the uncertain parameters are derived and examined for example systems. It is found that uncertainty in the parameters of certain systems may have significant influence on the irreliability, even when the input is a wideband stochastic process. Examples of such systems include composite systems, such as equipment-structure systems, in which the natural frequencies of individual subsystems are uncertain and are likely to coincide.
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UR - http://www.scopus.com/inward/citedby.url?scp=0024011730&partnerID=8YFLogxK
U2 - 10.1061/(ASCE)0733-9399(1988)114:5(812)
DO - 10.1061/(ASCE)0733-9399(1988)114:5(812)
M3 - Article
AN - SCOPUS:0024011730
VL - 114
SP - 812
EP - 832
JO - Journal of Engineering Mechanics - ASCE
JF - Journal of Engineering Mechanics - ASCE
SN - 0733-9399
IS - 5
ER -