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Refinement of Iterative Techniques in Topology Optimization
Author(s) -
Kasprzak T.,
Kutylowski R.,
Myslecki K.
Publication year - 1998
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19980781551
Subject(s) - iterative and incremental development , iterative method , distribution (mathematics) , mathematical optimization , finite element method , topology optimization , stiffness , mass distribution , topology (electrical circuits) , boundary (topology) , computer science , process (computing) , mathematics , algorithm , optimal design , structural engineering , mathematical analysis , engineering , physics , combinatorics , software engineering , quantum mechanics , galaxy , operating system , machine learning
The optimal shape design of a structure is studied as a material distribution problem. The main goal of this paper is find out the optimal mass distribution for restricted mass of the construction. The analysis is carried out through FEM. The iterative procedure includes two steps. The first one leads to continues distribution of material. In other words the stiffness of the construction flows from very strong to very weak. The second iterative steps leads to discrete 0 or 1 distribution of material. The algorithm solves the problem for the same model boundary during the iterative process.