Explore the concept of snappability in frameworks without continuous flexions during this 22-minute lecture from the Workshop on Real Algebraic Geometry and Algorithms for Geometric Constraint Systems. Discover a method for measuring snapping capability based on total elastic strain energy density using Green-Lagrange strain. Learn about the connection between this intrinsic pseudometric and the distance to the closest singular configuration. Examine the relationship between shakiness and snapping, going beyond the well-known averaging and deaveraging technique. Observe demonstrations of the approach on spatial structures such as the Siamese Dipyramide and Four-Horn, and compare the results with existing literature.
Overview
Syllabus
Snappability and singularity-distance of frameworks
Taught by
Fields Institute