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Modelling topology optimization problems as linear mixed 0–1 programs
Author(s) -
Stolpe M.,
Svanberg K.
Publication year - 2003
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.700
Subject(s) - topology optimization , discretization , topology (electrical circuits) , mathematical optimization , class (philosophy) , linear programming , mathematics , displacement (psychology) , optimization problem , computer science , finite element method , engineering , mathematical analysis , structural engineering , psychotherapist , psychology , combinatorics , artificial intelligence
This paper deals with topology optimization of discretized continuum structures. It is shown that a large class of non‐linear 0–1 topology optimization problems, including stress‐ and displacement‐constrained minimum weight problems, can equivalently be modelled as linear mixed 0–1 programs. The modelling approach is applied to some test problems which are solved to global optimality. Copyright © 2003 John Wiley & Sons, Ltd.