Response of structural systems with uncertain parameters: a comparative study of probabilistic and fuzzy sets models

Wei Ling Chiang, Wei Min Dong, Haresh C. Shah, Felix S. Wong

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

Due to the limitation in space, this paper only presents the conclusions of a study on the response of structures with uncertain properties such as mass, stiffness and damping. In the original study, the effect of the uncertain parameters on the response and the effect of the modeling of the uncertainties on the response are investigated. In particular, two types of uncertainties are distinguished: random and fuzzy uncertainties. Two kinds of models are studied: probabilistic and fuzzy set models. The two approaches to uncertainty modeling are compared with regard to their impacts on the analysis and on the uncertain structural response obtained. The study considers free vibration, forced vibration with deterministic excitation, and forced vibration with Gaussian white noise excitation. It is concluded that, in general, fuzzy models are much easier to implement and the associated analysis easier to perform than their probabilistic counterparts. When the available data on the structural parameters are crude and do not support a rigorous probabilistic model, the fuzzy set approach should be considered in view of its simplicity.

Original languageEnglish
Title of host publicationProbab Methods Civ Eng Proc 5th ASCE Spec Conf
PublisherPubl by ASCE
Pages197-200
Number of pages4
ISBN (Print)0872626598
StatePublished - 1988
EventProbabilistic Methods in Civil Engineering, Proceedings of the 5th ASCE Specialty Conference - Blacksburg, VA, USA
Duration: 25 May 198827 May 1988

Publication series

NameProbab Methods Civ Eng Proc 5th ASCE Spec Conf

Conference

ConferenceProbabilistic Methods in Civil Engineering, Proceedings of the 5th ASCE Specialty Conference
CityBlacksburg, VA, USA
Period25/05/8827/05/88

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