Fuzzy finite element method

Structural dynamics design validation and optimisation of structures with imprecise parameters using the fuzzy finite element method... [Pg.85]

The fuzzy finite element method (FFEM) has become a most valuable tool for the analysis of structural dynamics problems with imprecise parameters. The present paper gives an overview of the status of development of the FFEM. The paper focuses specifically on the capabilities of the method, especially in early stages of design analysis. The formulation of design criteria in the presence of parameter uncertainties is reviewed and options for early design optimisation are discussed. [Pg.85]

Structural dynamics using fuzzy finite element method 87... [Pg.87]

This paper gives an overview of the current state of development of the fuzzy finite element method for dynamic analysis. After a review of definitions and generic analysis... [Pg.105]

The theme of the contribution by Moens, Vandepitte, DeGersem, DeMunck and Desmet (Chapter 6) is structural dynamics design validation and optimization with imprecise parameters using the fuzzy finite element method. After initial research in the field of fuzzy finite elements has started in the middle of the nineties, different aspects... [Pg.637]

The second section deals with the analysis methods that are used in fuzzy finite element analysis. An overview of different approaches is presented first the transformation method, affine analysis, and global optimisation. The application to dynamic analysis is considered. The core of this section is the presentation of a consistent analysis approach to predict the effect of parameter uncertainties on different characteristics of dynamic behaviour of structures, resonance frequencies and dynamic response levels. A hybrid approach is developed, based on modal superposition and optimisation. [Pg.86]

The paper then focusses on 2 recent developments, namely response surface methods (RSM) and component mode synthesis (CMS). The former is a strategy to approximate the real structural behaviour as modelled by repeated finite element calculations by a response surface model that interpolates for structural response between well-chosen settings of uncertain parameters. The latter is an established theory for modelling structural dynamics using superelements. The paper extends the deterministic CMS to models with fuzzy uncertain parameters in the superelements. [Pg.86]

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