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Finite element analysis of frictionless contact problems using fuzzy control approach

F Massa (LAMIH CNRS UMR 8201, University of Valenciennes, Valenciennes, France.)
H Do (LAMIH CNRS UMR 8201, University of Valenciennes, Valenciennes, France.)
O Cazier (LAMIH CNRS UMR 8201, University of Valenciennes, Valenciennes, France.)
T Tison (LAMIH CNRS UMR 8201, University of Valenciennes, Valenciennes, France.)
B Lallemand (LAMIH CNRS UMR 8201, University of Valenciennes, Valenciennes, France.)

Engineering Computations

ISSN: 0264-4401

Article publication date: 5 May 2015

204

Abstract

Purpose

The purpose of this paper is to present a new way to solve numerically a mechanical frictionless contact problem within a context of multiple sampling, frequently used to design robust structures.

Design/methodology/approach

This paper proposes to integrate a control-based approach, currently used in automation domain, for the solving of non-linear mechanical problem. More precisely, a fuzzy logic controller is designed to create a link between the normal gaps identified between the bodies and the normal contact pressures applied at the interface.

Findings

With this new strategy, the initial non-linear problem can be decomposed into a set of reduced linear problems solved using the finite element method. A projection built from the modal bases of each component in contact is considered to reduce computational time. Moreover, the proposed numerical applications highlight an interesting compromise between computation time and precision of contact data.

Research limitations/implications

Currently, the proposed Fuzzy Logic Controller for Contact method has been developed for a frictionless contact problem in the case of 2D numerical applications. Therefore, as obtained results are very interesting, it will be possible to expand on these works in a future works for more complex problems including friction, 3D model and transient dynamic responses by adding other controllers.

Originality/value

In conclusion, this paper highlights the interest of studying a contact problem by considering automation approaches and defines the basis of future multidisciplinary works.

Keywords

Acknowledgements

The present research was supported by the International Campus on Safety and Intermodality in Transportation of the Nord-Pas-de-Calais Region, the European Community, the Regional Delegation for Research and Technology, the Ministry of Higher Education and Research, and the National Center for Scientific Research. The authors gratefully acknowledge the support of these institutions.

Citation

Massa, F., Do, H., Cazier, O., Tison, T. and Lallemand, B. (2015), "Finite element analysis of frictionless contact problems using fuzzy control approach", Engineering Computations, Vol. 32 No. 3, pp. 585-606. https://doi.org/10.1108/EC-11-2013-0289

Publisher

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Emerald Group Publishing Limited

Copyright © 2015, Emerald Group Publishing Limited

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