2020/01/13 by Georg Nawratil, Nawratil, Georg
Computer Science · #74A05 #Computational Geometry (cs.CG) #FOS: Computer and information sciences #Robotics (cs.RO) #cs.CG #cs.RO #msc:74A05
paper · pdf · doi:10.48550/arxiv.2001.04430
13 pages, 4 figures
arxiv created 2020/03/18 · arxiv updated 2020/03/19
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.