vix.ing · top · new · best · stats · spec

Non-Euclidean braced grids

2020/09/07 by S. C. Power, Power, Stephen
Computer Science · Engineering · #52C25 #Advanced Materials and Mechanics #Computational Geometry and Mesh Generation #FOS: Mathematics #Metric Geometry (math.MG) #Structural Analysis and Optimization

paper · pdf · doi:10.48550/arxiv.2009.03150

openalex publication_date 2020/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Necessary and sufficient conditions are obtained for the infinitesimal rigidity of braced grids in the plane with respect to non-Euclidean norms. Component rectangles of the grid may carry 0, 1 or 2 diagonal braces, and the combinatorial part of the conditions is given in terms of a matroid for the bicoloured bipartite multigraph defined by the braces.

Related