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Shape optimal design of structures: an efficient shape representation concept
Author(s) -
Kegl M.
Publication year - 2000
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 - 10.1002/1097-0207(20001230)49:12<1571::aid-nme19>3.0.co;2-1
Subject(s) - finite element method , parameterized complexity , element (criminal law) , representation (politics) , computer science , shape optimization , frame (networking) , mathematical optimization , mathematics , algorithm , structural engineering , engineering , telecommunications , politics , law , political science
This paper describes a shape representation concept that may be used in general shape optimization procedures. 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 is defined as a rational Bézier body. It represents a general‐purpose design element that may serve as the geometrical data provider for the response and sensitivity analysis for virtually any finite element type. Practical implementation of the proposed approach for space frame structures is discussed in detail. The validity of the proposed approach as well as the use of a body‐like design elements are illustrated by three numerical examples. Copyright © 2000 John Wiley & Sons, Ltd.