Author:
Abdessalem Jarraya,Fakhreddine Dammak,Said Abid,Mohamed Haddar
Abstract
Purpose
– This paper aims to describe a shape optimization for hyperelastic axisymmetric structure with an exact sensitivity method.
Design/methodology/approach
– The whole shape optimization process is carried out by integrating a closed geometric shape in the real space R2 with boundaries defined by B-splines curves. An exact sensitivity analysis and a mathematical programming method (SQP: Sequential Quadratic Programming) are implemented. The design variables are the control points' coordinates which minimize the Von-Mises criteria, with a constraint that the total material volume of the structure remains constant. The feasibility of the proposed methods is carried out by two numerical examples. Results show that the exact Jacobian has an important computing time reduction.
Findings
– Numerical examples are presented to illustrate its performance.
Originality/value
– In this work, the sensitivity performance is computed using two numerical methods: the efficient finite difference scheme and the exact Jacobian.
Reference28 articles.
1. Abid, S.
,
Jarraya, A.
,
Dammak, F.
and
Haddar, M.
(2008), “Design sensitivity and shape optimization of geometrical nonlinear structure”, Méc. et Ind., Vol. 9, pp. 17-23.
2. Azgami, H.
and
Wu, Z.C.
(1996), “Domain optimization analysis in linear elastic problems”, SME International Journal, Vol. 39, pp. 272-278.
3. Balagangadhar, D.
and
Tortorelli, D.A.
(1998), “Design and analysis of large deformation continuous elastoplastic manufacturing processes via a steady displacement-based formulation”, Seventh AIAA/USAF/NASA/ISSMO Symp. on Mult. Anal. and Opt., pp. 1396-1406.
4. Banichuk, N.V.
,
Serra, M.
and
Sinitsyn, A.
(2006), “Shape optimization of quasi-brittle axisymmetric shells by genetic algorithm”, Computers & Structures, Vol. 84, pp. 1925-1933.
5. Barthold, F.J.
and
Stein, E.
(1996), “A continuum mechanical-based formulation of the variational sensitivity analysis in structural optimization”, Stru. and Mult. Opti., Vol. 1, pp. 1-2.
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献