Topology design of two-dimensional continuum structures using isolines

A note on versions:The version presented here may differ from the published version or from the version of record. If you wish to cite this item you are advised to consult the publisher's version. Please see the repository url above for details on accessing the published version and note that access may require a subscription. ABSTRACTThe topology optimization using isolines/isosurfaces and extended finite element method (Iso-XFEM) is an evolutionary optimization method developed in previous studies to enable the generation of high-resolution topology optimized designs suitable for additive manufacture. Conventional approaches for topology optimization require additional postprocessing after optimization to generate a manufacturable topology with clearly defined smooth boundaries. Iso-XFEM aims to eliminate this timeconsuming post-processing stage by defining the boundaries using isovalues of a structural performance criterion and an extended finite element method (XFEM) scheme. In this article, the Iso-XFEM method is further developed to enable the topology optimization of geometrically nonlinear structures undergoing large deformations. This is achieved by implementing a total Lagrangian finite element formulation and defining a structural performance criterion appropriate for the objective function of the optimization problem. The Iso-XFEM solutions for geometrically nonlinear test cases implementing linear and nonlinear modelling are compared, and the suitability of nonlinear modelling for the topology optimization of geometrically nonlinear structures is investigated. ARTICLE HISTORY

Section: Isoline/isosurface Approachmentioning

confidence: 99%

Topology optimization of geometrically nonlinear structures using an evolutionary optimization method

Abdi

Ashcroft

Wildman

2018

“…The isoline optimization algorithm that is used in this paper is originated from isoline topology design (ITD) algorithm proposed by Victoria et al (2009).…”

Section: Isoline Topology Optimizationmentioning

confidence: 99%

Evolutionary topology optimization using the extended finite element method and isolines

Abdi

Wildman

Ashcroft

2013

A note on versions:The version presented here may differ from the published version or from the version of record. If you wish to cite this item you are advised to consult the publisher's version. Please see the repository url above for details on accessing the published version and note that access may require a subscription. AbstractThis study presents a new algorithm for structural topological optimization of 2D continuum structures by combining the Extended Finite Element Method (X-FEM) with an evolutionary optimization algorithm. Taking advantage of an isoline design approach for boundary representation in a fixed grid domain, X-FEM can be implemented to improve the accuracy of FE solutions on the boundary during the optimization process.Although this approach doesn't use any remeshing or moving mesh algorithms, final topologies have smooth and clearly defined boundaries which need no further interpretation. Numerical comparisons of the converged solutions with standard BESO solutions show the efficiency of the proposed method and comparison with the converged solutions using MSC NASTRAN confirms the high accuracy of this method.

“…The Isolines Topology Design (ITD) method (Victoria et al 2009(Victoria et al , 2010(Victoria et al , 2011 …”

Section: Optimization Problemmentioning

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

Self Cite

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.