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A computational paradigm for multiresolution topology optimization (MTOP)
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Journal Article
A computational paradigm for multiresolution topology optimization (MTOP)
2010
Overview
This paper presents a multiresolution topology optimization (MTOP) scheme to obtain high resolution designs with relatively low computational cost. We employ three distinct discretization levels for the topology optimization procedure: the
displacement mesh
(or finite element mesh) to perform the analysis, the
design variable mesh
to perform the optimization, and the
density mesh
(or density element mesh) to represent material distribution and compute the stiffness matrices. We employ a coarser discretization for finite elements and finer discretization for both density elements and design variables. A projection scheme is employed to compute the element densities from design variables and control the length scale of the material density. We demonstrate via various two- and three-dimensional numerical examples that the resolution of the design can be significantly improved without refining the finite element mesh.
Publisher
Springer-Verlag,Springer Nature B.V
