TOPOLOGY OPTIMIZATION OFMULTIPLE PHYSICS PROBLEMS MODELLED BY POISSON'S EQUATION

Authors

  • EDUARDO ALBERTO
  • OLE SIGMUND

Keywords:

OPTIMIZED DESIGN, TOPOLOGY OPTIMIZATION, CONDUCTION, POISSON'S EQUATION

Abstract

IN THIS PAPER WE APPLY TOPOLOGY OPTIMIZATION TO ANALYSE MULTIPLE PHYSICS DESIGN PROBLEMS WHICH ARE MODELLED BY POISSON'S EQUATION. SINCE THE GOVERNING DIFFERENTIAL EQUATION HAS THE SAME FORMAT IN ALL SITUATIONS, WE CAN SOLVE A NUMBER OF DIFFERENT PHYSICS PROBLEMS, SIMPLY BY CHOOSING THE VARIABLES PROPERLY AND CHOOSING THE APPROPRIATE BOUNDARY CONDITIONS IN EACH CASE. WE TREAT BOTH THE MINIMUM ENERGY CASE AS WELL AS \MECHANISMS DESIGN" PROBLEMS, I.E., FOR GIVEN INPUT, MINIMIZE (OR MAXIMIZE) RESPONSE BY THE STATE OR THE GRADIENT IN OTHER PARTS OF THE STRUCTURE.

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Published

2004-03-01

Issue

Vol. 1 No. 2 (2004)

Section

Articles

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