Exact expression for the distribution of linear combinations of uniform random variables

Chung Chih Lin, Marc Mignolet

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Structural dynamic analysis have often in the past relied on the assumption that the system under consideration is well known ahd have been associated the unpredictability of the response with a lack of knowledge of the excitation. More recently, however, it has been found that a proper understanding of the behavior of certain mechanical systems can only be reached by considering some of the system parameters, such as mass, stiffness and/or damping to be random variables. The goal of the present paper is to partially address this problem by describing a new numerical technique for the evaluation of the probability that a linear combination of independent uniformly distributed random variables exceeds a given threhshold and also of some related conditional moments.

Original languageEnglish (US)
Title of host publicationProbabilistic Mechanics and Structural and Geotechnical Reliability, Proceedings of the Specialty Conference
PublisherPubl by ASCE
Pages555-558
Number of pages4
ISBN (Print)0872628736
StatePublished - Dec 1 1992
EventProceedings of the 6th ASCE Specialty Conference on Probabilistic Mechanics, and Structural and Geotechnical Reliability - Denver, CO, USA
Duration: Jul 8 1992Jul 10 1992

Publication series

NameProbabilistic Mechanics and Structural and Geotechnical Reliability, Proceedings of the Specialty Conference

Other

OtherProceedings of the 6th ASCE Specialty Conference on Probabilistic Mechanics, and Structural and Geotechnical Reliability
CityDenver, CO, USA
Period7/8/927/10/92

ASJC Scopus subject areas

  • Engineering(all)

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