English

Evaluating the snappability of bar-joint frameworks

Computational Geometry 2020-03-19 v2 Robotics

Abstract

It is well-known that there exist bar-joint frameworks (without continuous flexions) whose physical models can snap between different realizations due to non-destructive elastic deformations of material. We present a method to measure these snapping capability -- shortly called snappability -- based on the total elastic strain energy of the framework by computing the deformation of all bars using Hook's law. The presented theoretical results give further connections between shakiness and snapping beside the well-known technique of averaging and deaveraging.

Keywords

Cite

@article{arxiv.2001.04430,
  title  = {Evaluating the snappability of bar-joint frameworks},
  author = {Georg Nawratil},
  journal= {arXiv preprint arXiv:2001.04430},
  year   = {2020}
}

Comments

13 pages, 4 figures

R2 v1 2026-06-23T13:10:03.540Z