6 papers
Hierarchy of bounds in free orthotropic material optimization: From convex relaxations to Hashin-Shtrikman via sequential global programming
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, motivated by the gap between tensor…
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…
Global weight optimization of frame structures under free-vibration eigenvalue constraints
Marek Tyburec, Michal KoÄvara, Marouan Handa +1
Topology optimization of frame structures under free-vibration eigenvalue constraints constitutes a challenging nonconvex polynomial optimization problem with disconnected feasible…
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 KoÄvara
This work investigates an efficient solution to two fundamental problems in topology optimization of frame structures. The first one involves minimizing structural compliance under…
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…