Michell Structures within L-Shaped Domains

  • Karol Bołbotowski Warsaw University of Technology and University of Warsaw
  • Tomasz Lewiński Warsaw University of Technology
  • Tomasz Sokół Warsaw University of Technology

Abstract

By recalling the main mathematical results concerning the theory of Michell structures, the present paper puts forward an interpretation of the selected numerical methods for constructing their approximants, that is, trusses with a large number of nodes. The efficiency of one of these methods: the ground structure method in its adaptive version is shown in the context of the L-shaped design domain problem. A large family of highly accurate truss approximants corresponding to the point loads acting at selected vertices is constructed and discussed.

Keywords

Michell structures, Structural optimization, trusses,
Published
Jul 31, 2020
How to Cite
BOŁBOTOWSKI, Karol; LEWIŃSKI, Tomasz; SOKÓŁ, Tomasz. Michell Structures within L-Shaped Domains. Computer Assisted Methods in Engineering and Science, [S.l.], v. 27, n. 2–3, p. 185–204, july 2020. ISSN 2299-3649. Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/281>. Date accessed: 29 oct. 2020.
Section
Engineering Optimization