Struct Multidisc Optim 21, 120127 ? Springer-Verlag 2001
A 99 line topology optimisation code written in Matlab
O. Sigmund
Abstract The paper presents a compact Matlab implementation of a topology optimization code for compliance minimization of statically sended structures. The total numerate of Matlab input lines is 99 including optimizer and Finite Element subroutine. The 99 lines argon divided into 36 lines for the main program, 12 lines for the Optimality Criteria based optimizer, 16 lines for a meshindependency ?lter and 35 lines for the ?nite element code. In fact, excluding comment lines and lines associated with make and ?nite element analysis, it is shown that only 49 Matlab input lines are necessitate for solving a well-posed topology optimization problem. By adding trine additional lines, the program can solve problems with sevenfold load cases. The code is intended for educational purposes. The complete Matlab code is accustomed in the Appendix and can be down-loaded from the web-site http://www.topopt.dtu.dk. line words topology optimization, education, optimumity criteria, world-wide web, Matlab code
1 Introduction The Matlab code presented in this paper is intended for engineering education.
Students and newcomers to the ?eld of topology optimization can down-load the code from the web-page http://www.topopt.dtu.dk. The code may be uptaked in courses in structural optimization where students may be assigned to do extensions such as multiple load-cases, alternative mesh-independency schemes, passive areas, etc. Another possibility is to use the program to develop students intuition for optimal design. Advanced students may be asked to guess the optimal topology for given leaping condition and volume
Received October 22, 1999 O. Sigmund Department of Solid Mechanics, Building 404, good University of Denmark, DK-2800 Lyngby, Denmark e-mail: sigmund@fam.dtu.dk
fraction and then the program shows the correct optimal topology...If you want to get a full essay, order it on our website: Ordercustompaper.com
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