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Fuzzy behavior of mechanical systems with uncertain boundary conditions

โœ Scribed by A. Cherki; G. Plessis; B. Lallemand; T. Tison; P. Level

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
364 KB
Volume
189
Category
Article
ISSN
0045-7825

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โœฆ Synopsis

The problem of structures' sensitivities to uncertain boundary conditions is presented in this paper and the eect of uncertain prescribed displacements on the static response of structures is discussed. The imprecise or uncertain prescribed displacements are treated as fuzzy quantities with known membership functions. For numerical computations, a fuzzy quantity can be approximated by sets of closed intervals with respect to speciยฎed a-cuts. This transforms the problem into a set of interval equations at each a-level. A numerical method is developed to solve the system of fuzzy equations. Simple stress analysis is also used to establish and illustrate the method. A numerical example is presented to demonstrate the capability of the method.

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