ANALYSIS OF MECHANICAL SYSTEMS USING INTERVAL COMPUTATIONS APPLIED TO FINITE ELEMENT METHODS

This paper addresses the problem of mechanical systems in which parameters are uncertain and bounded. Interval calculation is used to find an envelope of transfer functions for mechanical systems modelled with finite elements. Within this context, a new formulation has been developed for finite elem...

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Bibliographic Details
Published in:Journal of sound and vibration 2001-02, Vol.239 (5), p.949-968
Main Authors: DESSOMBZ, O., THOUVEREZ, F., LAÎNÉ, J.-P., JÉZÉQUEL, L.
Format: Article
Language:English
Subjects:
Beams, plates and shells
Computational techniques
Exact sciences and technology
Finite-element and galerkin methods
Fundamental areas of phenomenology (including applications)
Mathematical methods in physics
Physics
Solid mechanics
Structural and continuum mechanics
Structural mechanics (beam, string...)
Theory and numerical methods
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Summary:This paper addresses the problem of mechanical systems in which parameters are uncertain and bounded. Interval calculation is used to find an envelope of transfer functions for mechanical systems modelled with finite elements. Within this context, a new formulation has been developed for finite element problems involving bounded parameters, to avoid the problems of overestimation. An iterative algorithm is introduced, which leads to a conservative solution for linear mechanical problems. A method to ensure the convergence of this algorithm is also proposed. This new algorithm has been tested on simple mechanical systems, and leads to a conservative envelope of the transfer functions.
ISSN:0022-460X
1095-8568
DOI:10.1006/jsvi.2000.3191