Bubble method for topology and shape optimization of structures

This paper addresses a novel method of topology and shape optimization. The basic idea is the iterative positioning of new holes (so-called 'bubbles') into the present structure of the component. This concept is therefore called the 'bubble method'. The iterative positioning of n...

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Bibliographic Details
Published inStructural Optimization Vol. 8; no. 1; pp. 42 - 51
Main Authors Eschenauer, H. A., Kobelev, V. V., Schumacher, A.
Format Journal Article
LanguageEnglish
Published 01.08.1994
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ISSN0934-4373
1615-147X
1615-1488
DOI10.1007/BF01742933

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Summary:This paper addresses a novel method of topology and shape optimization. The basic idea is the iterative positioning of new holes (so-called 'bubbles') into the present structure of the component. This concept is therefore called the 'bubble method'. The iterative positioning of new bubbles is carried out by means of different methods, among others by solving a variational problem. The insertion of a new bubble leads to a change of the class of topology. For these different classes of topology, hierarchically structured shape optimizations that determine the optimal shape of the current bubble, as well as the other variable boundaries, are carried out.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0934-4373
1615-147X
1615-1488
DOI:10.1007/BF01742933