✦ LIBER ✦

Topology optimization of beam cross sections

✍ Scribed by Yoon Young Kim; Tae Soo Kim

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 265 KB
Volume: 37
Category: Article
ISSN: 0020-7683
DOI: 10.1016/s0020-7683(99)00015-3

No coin nor oath required. For personal study only.

✦ Synopsis

Perhaps, this paper reports the ®rst successful applications of the topology optimization in the design of (thinwalled) beam sections. In particular, topologically dierent thin-walled beam cross sections can be obtained by the present approach, which is very useful in identifying the direction and location of stieners. 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 ®nite element model of a St. Venant torsion problem, and the Euler beam theory is used for the sensitivity analysis of the bending rigidities.

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