Transverse Rigidity is Prestress Stability

2021/06/08 by Steven J. Gortler, Gortler, Steven J., Miranda Holmes‐Cerfon +3
Engineering · #52C25 #Dynamics and Control of Mechanical Systems #FOS: Mathematics #Metric Geometry (math.MG) #Structural Analysis and Optimization #Topology Optimization in Engineering

paper · pdf · doi:10.48550/arxiv.2106.04485

openalex publication_date 2021/06/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Recently, V. Alexandrov proposed an intriguing sufficient condition for rigidity, which we will call "transverse rigidity". We show that transverse rigidity is actually equivalent to the known sufficient condition for rigidity called "prestress stability". Indeed this leads to a novel interpretation of the prestress condition.

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