Bounded Wang tilings with integer programming and graph-based heuristics

Autor: Marek Tyburec, Jan Zeman

Publikováno v: Scientific Reports, Vol 13, Iss 1, Pp 1-22 (2023)

Abstract Wang tiles enable efficient pattern compression while avoiding the periodicity in tile distribution via programmable matching rules. However, most research in Wang tilings has considered tiling the infinite plane. Motivated by emerging appli

Externí odkaz: https://doaj.org/article/8796beaef92540a6af0e7b89b04f9a50

OPTIMIZATION-BASED APPROACH TO TILING OF FINITE AREAS WITH ARBITRARY SETS OF WANG TILES

Autor: Marek Tyburec, Jan Zeman

Publikováno v: Acta Polytechnica CTU Proceedings, Vol 13, Iss 0, Pp 135-141 (2017)

Wang tiles proved to be a convenient tool for the design of aperiodic tilings in computer graphics and in materials engineering. While there are several algorithms for generation of finite-sized tilings, they exploit the specific structure of individ

Externí odkaz: https://doaj.org/article/1bd425fc276a4791802122dae8c337db

Global optimality in minimum compliance topology optimization of frames and shells by moment-sum-of-squares hierarchy

Autor: Didier Henrion, Marek Tyburec, Martin Kružík, Jan Zeman

Publikováno v: 14th World Congress of Structural and Multidisciplinary Optimization
14th World Congress of Structural and Multidisciplinary Optimization, Jun 2021, Boulder, Colorado, United States
14th World Congress of Structural and Multidisciplinary Optimization (WCSMO 14)
14th World Congress of Structural and Multidisciplinary Optimization (WCSMO 14), Jun 2021, Boulder, Colorado, United States
Structural and Multidisciplinary Optimization
Structural and Multidisciplinary Optimization, 2021, 64 (4), pp.1963-1981. ⟨10.1007/s00158-021-02957-5⟩

The design of minimum-compliance bending-resistant structures with continuous cross-section parameters is a challenging task because of its inherent non-convexity. Our contribution develops a strategy that facilitates computing all guaranteed globall

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1f0517a73ea96c5ee1b074d63aba98b7
https://hal.laas.fr/hal-02949791

Minimum-Weight Truss Reinforcement of a Composite Beam to Increase the Free-Vibrations Fundamental Eigenfrequency

Autor: Jan Novák, Marek Tyburec, Tomáš Plachý, Michael Somr, Robin Poul, Matěj Lepš, Jan Zeman

Publikováno v: Key Engineering Materials. 760:219-224

In this contribution, we design a minimum-weight truss reinforcement of a thin-walled composite beam, such that the fundamental free-vibrations eigenfrequency of the beam is increased to a specific value. The reinforcement structure is designed using

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::45a99e6f8a55c52cda08f679011def78
https://doi.org/10.4028/www.scientific.net/kem.760.219

Designing modular 3D printed reinforcement of wound composite hollow beams with semidefinite programming

Autor: R. Poul, Jan Novák, Matěj Lepš, Jan Zeman, Tomáš Plachý, Marek Tyburec

Publikováno v: Materials & Design, Vol 183, Iss, Pp-(2019)

Fueled by their excellent stiffness-to-weight ratio and the availability of mature manufacturing technologies, filament wound carbon fiber reinforced polymers represent ideal materials for thin-walled laminate structures. However, their strong anisot

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0ab9052d6a82bb2c39ee60f8ed03acea
http://arxiv.org/abs/1906.05549