Journal
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Volume 37, Issue 3, Pages 477-493Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0020-7683(99)00015-3
Keywords
topology optimization; cross-section; torsion; bending
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Perhaps, this paper reports the first successful applications of the topology optimization in the design of (thin-walled) beam sections. In particular, topologically different thin-walled beam cross sections can be obtained by the present approach, which is very useful in identifying the direction and location of stiffeners. In formulating the topology optimization problems, a simple power law is used for the relation between the density of an element with a hole and the mechanical properties of the element. The sensitivity of the torsional rigidity is obtained by developing a finite element model of a St. Venant torsion problem, and the Euler beam theory is used for the sensitivity analysis of the bending rigidities. (C) 1999 Elsevier Science Ltd. All rights reserved.
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