Paper number 674
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COMPUTING UNCERTAINTIES IN A DELTA WING COMPOSITE STRUCTURE USING INTERVAL-BASED METHODS |
Franck Delcroix1, Chris Boyer2, Vincent Braibant2
1Laboratoire de Modélisation et Mécanique des Structures, Université Pierre et Marie Curie
Tour 66, 4 place Jussieu 75232 Paris cedex 05, France
2Département Mécanique des Systèmes, Pôle Universitaire Léonard de Vinci
92916, Paris la Défense, France
| Summary | This paper deals with interval-based methods used to perform structural analysis of structures submitted to uncertainties. Recently, intervals have been introduced as an alternative to more classical statistical approaches such as Monte-Carlo analysis or stochastic finite element methods. In a linear static context, a discretized structural analysis resumes to the resolution of linear systems of equations. Using interval parameters in those systems requires the development of new computational methods dedicated to interval arithmetic. We compare here usual techniques to an efficient new method, called NAVS, based on series development and optimisation schemes, through the study of a composite delta-wing. This application shows one of the benefits which structural engineers can get from using non-deterministic approaches. |
Keywords | uncertainties management, interval computations, fuzzy logic, vertex method, composite delta wing. |