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Erschienen in: Research in Engineering Design 2/2009

01.07.2009 | Original Paper

Sensitivity analysis and shape optimization based on FE–EFG coupled method

verfasst von: S. G. Gong, G. L. Xie, J. P. Zhang, S. H. Nie, Y. M. Li

Erschienen in: Research in Engineering Design | Ausgabe 2/2009

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Abstract

By use of 4-node isoparametric quadrangle interface element between finite element (FE) and meshless regions, a collocation approach is introduced to couple firstly FE and element-free Galerkin (EFG) method in this paper. By taking derivative of discreteness equilibrium equation at interface element with respect to design variable, a numerical method for discreteness-based shape design sensitivity analysis in interface element is obtained. The design sensitivity analysis (DSA) of coupled FE–EFG method is achieved by employing the DSA of nodal displacement at the interface element. The numerical method presented is testified by examples. It can be observed excellent agreement between the numerical results and the analytical solution. Finally the shape optimization of fillet is achieved by using coupled FE–EFG method. The result obtained show that imposing of the essential boundary condition is easy to implement, the computational time is reduced and the distortion of mesh is avoided.

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Metadaten
Titel
Sensitivity analysis and shape optimization based on FE–EFG coupled method
verfasst von
S. G. Gong
G. L. Xie
J. P. Zhang
S. H. Nie
Y. M. Li
Publikationsdatum
01.07.2009
Verlag
Springer-Verlag
Erschienen in
Research in Engineering Design / Ausgabe 2/2009
Print ISSN: 0934-9839
Elektronische ISSN: 1435-6066
DOI
https://doi.org/10.1007/s00163-008-0057-y

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