Engineering Mechanics

Proceedings Vol. 26 (2020)

ENGINEERING MECHANICS 2020

Copyright © 2020 Brno University of Technology Institute of Solid Mechanics, Mechatronics and Biomechanics

 

Tyburec M., Zeman J., Kružík M., Henrion D.
pages 492 - 495, full text

This contribution develops an efficient formulation for the topology optimization of frame structures with fixed-aspect-ratio cross-sections, solvable to global optimality by the moment-sum-of-squares hierarchy. While the hierarchy generates a sequence of non-decreasing lower-bounds, we develop a sequence of feasible upper-bounds, allowing to assess the optimized design quality in each relaxation. Finally, these bounds provide a means of establishing a new sufficiency condition of global ε-optimality.

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All papers were reviewed by members of the scientific committee.