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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 40
ADVANCES IN OPTIMIZATION FOR STRUCTURAL ENGINEERING
Edited by: B.H.V. Topping
Paper V.3

Topological Optimization of Quadrilateral Meshes Associated with a Free-Form Surface

S. Maza, F. Noel and J.C. Leon

Laboratory of Soils, Solids and Structures, URA CNRS, Grenoble, France

Full Bibliographic Reference for this paper
S. Maza, F. Noel, J.C. Leon, "Topological Optimization of Quadrilateral Meshes Associated with a Free-Form Surface", in B.H.V. Topping, (Editor), "Advances in Optimization for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 125-133, 1996. doi:10.4203/ccp.40.5.3
Abstract
A new method for quadrilateral surface mesh creation is presented. This method can mesh free-form surfaces which have been modelled within a Computer Aided Design (C. A. D.) software environment. Therefore, a surface is described by a set of bi-parametric patches either of NURBS (Non Uniform Rational B-Spline) or Bézier type. An initial mesh made up from triangular faces which map the surface model must be given as input of the method. The basic idea of the current method relies or1 the independence between geometric and topologic adaption treatments of a mesh. A first step creates quadrilateral elements by merging two adjacent triangles. Further topologic treatments produce the mesh which contain quadrilateral elements only. In order to produce a useful mesh for a structural analysis. new operators are set up for the optimization of mesh connectivities. At ally time, the position of nodes can he updated through a geometric operator allowing the nodes to slide over the whole surface. This last process is patch independent. To cope with quadrilateral faces. this operator has been adapted from the operator described by Noël & al. that was initially dedicated to triangular faces.

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