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Isogeometric shape optimisation of shell structures using multiresolution subdivision surfaces

Accepted version
Peer-reviewed

Type

Article

Change log

Authors

Bandara, K 

Abstract

We introduce the isogeometric shape optimisation of thin shell structures using subdivision surfaces. Both triangular Loop and quadrilateral Catmull-Clark subdivision schemes are considered for geometry modelling and finite element analysis. A gradient-based shape optimisation technique is implemented to minimise compliance, i.e. to maximise stiffness. Different control meshes describing the same surface are used for geometry representation, optimisation and finite element analysis. The finite element analysis is performed with subdivision basis functions corresponding to a sufficiently refined control mesh. During iterative shape optimisation the geometry is updated starting from the coarsest control mesh and proceeding to increasingly finer control meshes. This multiresolution approach provides a means for regularising the optimisation problem and prevents the appearance of sub-optimal jagged geometries with fine-scale oscillations. The finest control mesh for optimisation is chosen in accordance with the desired smallest feature size in the optimised geometry.
The proposed approach is applied to three optimisation examples, namely a catenary, a roof over a rectangular domain and a freeform architectural shell roof. The influence of the geometry description and the used subdivision scheme on the obtained optimised curved geometries are investigated in detail.

Description

Keywords

Shape optimisation, Thin shells, Isogeometric analysis, Subdivision surfaces, Finite elements

Journal Title

CAD Computer Aided Design

Conference Name

Journal ISSN

0010-4485
1879-2685

Volume Title

95

Publisher

Elsevier BV