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Shape optimization of two dimensional bodies by boundary changing method and thickness changing method
Author(s) -
Hasegawa Akira
Publication year - 1992
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.1620340313
Subject(s) - analyser , finite element method , boundary (topology) , distribution (mathematics) , shape optimization , boundary value problem , geometry , boundary element method , mathematics , mathematical optimization , mathematical analysis , structural engineering , engineering , physics , optics
When we use FEM as a structural analyser, we have two methods for the optimization of two dimensional bodies. The first method is the boundary changing method in which the co‐ordinates of nodes should be changed to the optimum location without changing the thickness of elements. The second method is the thickness changing method in which the thickness of elements should be changed to the optimum values without changing the co‐ordinates of nodes. In this paper, we study the two optimum methods in the condition of uniform stress distribution, and the element area distribution method, which is one of the boundary shape changing methods, has been developed.