A 99 line topology optimization code written in Matlab |
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Authors: | O Sigmund |
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Affiliation: | Department of Solid Mechanics, Building 404, Technical University of Denmark, DK-2800 Lyngby, Denmark?e-mail: sigmund@fam.dtu.dk, DK
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Abstract: | The paper presents a compact Matlab implementation of a topology optimization code for compliance minimization of statically
loaded structures. The total number of Matlab input lines is 99 including optimizer and Finite Element subroutine. The 99
lines are divided into 36 lines for the main program, 12 lines for the Optimality Criteria based optimizer, 16 lines for a
mesh-independency filter and 35 lines for the finite element code. In fact, excluding comment lines and lines associated with
output and finite element analysis, it is shown that only 49 Matlab input lines are required for solving a well-posed topology
optimization problem. By adding three additional lines, the program can solve problems with multiple load cases. The code
is intended for educational purposes. The complete Matlab code is given in the Appendix and can be down-loaded from the web-site
http://www.topopt.dtu.dk.
Received October 22, 1999 |
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Keywords: | : topology optimization education optimality criteria world-wide web Matlab code |
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