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A computational procedure for part design

Authors
Journal
Computer Methods in Applied Mechanics and Engineering
0045-7825
Publisher
Elsevier
Publication Date
Volume
97
Issue
1
Identifiers
DOI: 10.1016/0045-7825(92)90106-t
Disciplines
  • Design
  • Mathematics

Abstract

Abstract We propose a combinatorial optimization procedure for part design which transforms the typically decoupled and serial processes of conception, geometry and mesh generation, analysis, and optimization into a unified concurrent framework founded upon a single data structure. The method proceeds by: construction of a cost functional comprising materials, manufacturing, and performance objectives and constraints; representation of R d by a latice of N d binary indicator ‘particles’ and associated ‘elements’; description of the geometric attributes (volume, surface area, smoothness and connectedness) and physical behavior (structural, thermal and fluid) of candidate parts by particle-based pseudo-Boolean functions and element-based partial-differential-equation solutions, respectively; approximate global minimization of the non-convex cost functional with respect to non-topology-preserving geometric variations by the method of simulated annealing; convergence as N → ∞. Several simple structural and heat transfer examples are described.

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