29 citations · 71 across the 11 of their papers we have counts for
9 papers · 1 filter
Minimum-weight frames under subresonant harmonic excitation: Robust constraints on dynamic compliance, peak input power, and eigenfrequencies
Marek Tyburec, Marouan Handa, Jan Havelka +1
This work addresses minimum-weight design of undamped Euler-Bernoulli frame structures under subresonant single-frequency harmonic excitations, focusing on (robust) dynamic complia…
Towards realizable free material optimization via energy bound hierarchy
Marek Tyburec, Michael Stingl, Shenyuan Ma
We study free orthotropic material optimization for two-dimensional plane-stress compliance minimization with two well-ordered isotropic phases. To connect free material optimizati…
Moment-SOS hierarchies for arrow-type polynomial matrix inequalities with applications to structural optimization
Marouan Handa, Marek Tyburec, Giovanni Fantuzzi +2
The Arrow Decomposition (AD) technique, initially introduced in [Mathematical Programming 190(1-2) (2021), pp 105-134], demonstrated superior scalability over the classical chordal…
Term-sparse polynomial optimization for the design of frame structures
Marouan Handa, Marek Tyburec, Michal Kočvara
This work investigates an efficient solution to two fundamental problems in topology optimization of frame structures. The first one involves minimizing structural compliance under…
Global weight optimization of frame structures under free-vibration eigenvalue constraints
Marek Tyburec, Michal Kočvara, Marouan Handa +1
Topology optimization of frame structures under free-vibration eigenvalue constraints constitutes a challenging nonconvex polynomial optimization problem with disconnected feasible…
Truss topology design under harmonic loads: Peak power minimization with semidefinite programming
Shenyuan Ma, Jakub Marecek, Vyacheslav Kungurtsev +1
Designing lightweight yet stiff structures that can withstand vibrations is a crucial task in structural optimization. Here, we present a novel framework for truss topology optimiz…
Global weight optimization of frame structures with polynomial programming
Marek Tyburec, Michal Kočvara, Martin Kružík
Weight optimization of frame structures with continuous cross-section parametrization is a challenging non-convex problem that has traditionally been solved by local optimization t…
On bounded Wang tilings
Marek Tyburec, Jan Zeman
Wang tiles enable efficient pattern compression while avoiding the periodicity in tile distribution via programmable matching rules. However, most research in Wang tilings has cons…
Global optimality in minimum compliance topology optimization of frames and shells by moment-sum-of-squares hierarchy
Marek Tyburec, Jan Zeman, Martin Kružík +1
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…