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An efficient shape parameterization concept for structural optimization
Author(s) -
Kegl M.
Publication year - 2001
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.200108115112
Subject(s) - finite element method , parameterized complexity , element (criminal law) , shape optimization , computer science , tensor product , mathematical optimization , mathematics , geometry , algorithm , structural engineering , engineering , pure mathematics , law , political science
This paper describes a shape parameterization concept that may be used efficiently in structural shape optimization. It relies on the assumption that the finite element mesh is defined as a convective mesh, following automatically the shape changes of a conveniently parameterized body. Suitable parameterization of the body is achieved by combining the design element technique and a convenient design element. The design element in turn is defined as a rational (tensor‐product) Bézier body. It represents a general‐purpose design element, serving as the geometrical data provider for the response and sensitivity analysis for virtually any finite element type.