Framework Materials and Cylinder Packings

22.02.2023, 4 pm  –  2.09.2.22
SIAM Chapter Seminar

Matthias Himmelmann

Abstract: In a geometric context, framework materials are structures composed of many rigid bars (or edges), pinned together at vertices where the bars can freely rotate relative to each other. These structures can be rigid or deformable, depending on the way in which the bars are joined together. Possible deformation pathways of a framework structure can be described in an algebraic context, with each rigid rod represented by polynomial constraints. We use this theoretical concept to robustly model (curvilinear) cylinder packings and their dynamical properties by considering Riemannian Optimization and the mathematical theory of filaments in tight contact.

Please note that the seminar is open to all Bachelor, Master and PhD students as well as Postdocs.