Optimization of a Three Dimensional Shell Structure

Knopf-Lenoir, Catherine; Beldi, M.; Touzot, Gilbert; Taverniere, P.; Cochet, J. F.

doi:10.1080/03052158708941050

Cited by 6 publications

(2 citation statements)

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“…In Ref. [2] the optimization is extended to three dimensional shell structures to minimize the mass by varying the thickness distribution. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Optimal Shape Design of Thin Axisymmetric Shells

Marcelin¹,

Trompette

1988

Engineering Optimization

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This paper is concerned with the optimal shape design of thin axisymmetric shells loaded symmetrically or non-symmetrically. The objective is to make a reference stress uniform along a part of the boundary to minimize the stress concentrations. For technological reasons, the boundary of the structure is composed of straight or circular segments defined by input data of master point coordinates and radius values. The design variables are easilv deduced from the data. The analvsis of the structure is oerfonned bv the finite -element method using two or three node thin shell elements. Some test examples and an application of lhe program to the shape optimization of a bottle demonstrate the efficiency of the process.

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“…In Ref. [2] the optimization is extended to three dimensional shell structures to minimize the mass by varying the thickness distribution. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Optimal Shape Design of Thin Axisymmetric Shells

Marcelin¹,

Trompette

1988

Engineering Optimization

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“…Such structures are used extensively in architecture and in aeronautical, civil, marine and mechanical engineering (Knopf-Lenoir et al 1987, Suhuan and Zhijun 2005, Bechthold 2010). The broad definition of a thin shell structure is one where the ratio of its thickness to one of its other two dimensions is less than 10% (Oñate 1995).…”

Section: Introductionmentioning

confidence: 99%

The effects of membrane thickness and asymmetry in the topology optimization of stiffeners for thin-shell structures

Victoria¹,

Querin²,

Díaz³

et al. 2013

Engineering Optimization

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ReuseUnless indicated otherwise, fulltext items are protected by copyright with all rights reserved. The copyright exception in section 29 of the Copyright, Designs and Patents Act 1988 allows the making of a single copy solely for the purpose of non-commercial research or private study within the limits of fair dealing. The publisher or other rights-holder may allow further reproduction and re-use of this version -refer to the White Rose Research Online record for this item. Where records identify the publisher as the copyright holder, users can verify any specific terms of use on the publisher's website. TakedownIf you consider content in White Rose Research Online to be in breach of UK law, please notify us by emailing eprints@whiterose.ac.uk including the URL of the record and the reason for the withdrawal request. 1 The Effects of Membrane Thickness and Asymmetry in the Topology Optimization of Stiffeners for Thin Shell Structures Mariano Victoria Study into the Effects of Membrane Thickness and Asymmetry in the Topology Optimization of Stiffeners for Thin Shell StructuresThin walled shell structures are extensively used in architecture and engineering due to their lightweight and ease of shaping. But they suffer from poor overall stiffness, something addressed by the strategic addition of stiffeners. The optimization of stiffeners is divided between those which include shell membrane in the optimization and those which do not. However, no studies were found which indicate when it is necessary or valid to use either approach. In most cases it was also found that symmetry was forced in the optimization of stiffening layers. These two effects were investigated, concluding that: For membranes with thicknesses less than 20% of the structure, they do not affect the final topology; and for membrane thicknesses greater than 20%, they must be included in the optimization as they have a considerable effect. When bending and membrane loadings are present, symmetry should not be forced, otherwise sub-optimal designs are generated.

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