Response of uncertain systems to stochastic excitation

Takeru Igusa, Armender Kiureghian

Research output: Contribution to journalArticlepeer-review

77 Scopus citations


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 languageEnglish (US)
Pages (from-to)812-832
Number of pages21
JournalJournal of Engineering Mechanics
Issue number5
StatePublished - May 1988
Externally publishedYes

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering


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