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Design sensitivity and shape optimization of geometrical nonlinear structure

Published online by Cambridge University Press:  17 May 2008

Said Abid ,
Abdessalem Jarraya ,
Fakhreddine Dammak  and
Mohamed Haddar
Said Abid
Affiliation:
Mechanical, Modelisation and Manufacturing Unit (U2MP), National School of Engineers of Sfax (ENIS), BP W 3038 Sfax, Tunisia
Abdessalem Jarraya
Affiliation:
Mechanical, Modelisation and Manufacturing Unit (U2MP), National School of Engineers of Sfax (ENIS), BP W 3038 Sfax, Tunisia
Fakhreddine Dammak
Affiliation:
Mechanical, Modelisation and Manufacturing Unit (U2MP), National School of Engineers of Sfax (ENIS), BP W 3038 Sfax, Tunisia
Mohamed Haddar
Affiliation:
Mechanical, Modelisation and Manufacturing Unit (U2MP), National School of Engineers of Sfax (ENIS), BP W 3038 Sfax, Tunisia
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Abstract

This paper presents the structural shape optimization with linear elastic material, large displacement and small strains. The whole shape optimization process is carried out by coupling a closed geometric shape in R2 with boundaries defined by B-splines curves, automatic mesh generation at each iteration, exact sensitivity analysis and mathematical programming method (SQP: Sequential Quadratic Programming). The design variables are the control point's coordinates which minimize the Von-Mises criteria, with a constraint that the total material volume of the structure remains constant. In this work the sensitivity analysis is performed using two methods: numerically by an efficient finite difference scheme and by the new method called exact Jacobian method. The feasibility of the proposed method is carried out for two numerical examples.

Keywords

Geometrical nonlinearityfinite-elementsshape optimizationparameterizationsensitivity analysisSQP methodOptimisation de formenon-linéarités géométriqueséléments-finissensibilité exacteparamétrisation méthode S.Q.P.
Type
Research Article
Information
Mechanics & Industry , Volume 9 , Issue 1 , January 2008 , pp. 17 - 23
Copyright
© AFM, EDP Sciences, 2008

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