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Shape optimal design of elastic space frames with non‐linear response
Author(s) -
Kegl M.,
Antes H.
Publication year - 1998
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/(sici)1097-0207(19980915)43:1<93::aid-nme411>3.0.co;2-q
Subject(s) - space frame , finite element method , context (archaeology) , mathematics , curvature , optimal design , beam (structure) , frame (networking) , element (criminal law) , mathematical optimization , computer science , geometry , structural engineering , engineering , paleontology , telecommunications , statistics , law , political science , biology
This paper describes an approach to shape optimal design of elastic space frames with kinematically non‐linear response. A space frame structure is treated as to be assembled from several frame design elements each of them being defined as a skeleton lying on a rational Bézier patch. The design variables may influence the control points of each patch and the cross‐sectional quantities of beam elements. Highly accurate beam finite elements are employed based on a modified formulation of the beam element proposed by Jelenić and Saje. The modified element is able to account for arbitrary initial curvature and it fits nicely into the context of both the proposed design element technique and the optimization process. The formulation of the shape optimal design problem in form of non‐linear mathematical programming problem and its solution by employing gradient‐based methods of mathematical programming are discussed briefly. The theory is illustrated in detail with three numerical examples. © 1998 John Wiley & Sons, Ltd.