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cs.RO2024
A variational approach to geometric mechanics for undulating robotic locomotion
Sean Even, Patrick S. Martinez, Cora Keogh +3
Limbless organisms of all sizes use undulating patterns of self-deformation to locomote. Geometric mechanics, which maps deformations to motions, provides a powerful framework to f…
math.DG2024
Elastic Curves with Variable Bending Stiffness
Oliver Gross, Ulrich Pinkall, Moritz Wahl
We study stationary points of the bending energy of curves subject to constraints on the arc-length and the curve's holonomy while simultaneously allo…