2016/04/19 by Thomas Lessinnes, Alain Goriely, Lessinnes, Thomas +1
Engineering · Mathematics · Physics and Astronomy · #Advanced Materials and Mechanics #Classical Analysis and ODEs (math.CA) #Dynamics and Control of Mechanical Systems #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Structural Analysis and Optimization #math-ph #math.CA #math.MP
paper · pdf · doi:10.48550/arxiv.1604.07014
arxiv created 2016/04/19 · openalex publication_date 2016/04/19 · arxiv updated 2016/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A large family of deployable filamentary structures can be built by connecting two elastic rods along their length. The resulting structure has interesting shapes that can be stabilized by tuning the material properties of each rod. To model this structure and study its stability, we show that the equilibrium equations describing unloaded states can be derived from a variational principle. We then use a novel geometric method to study the stability of the resulting equilibria. As an example we apply the theory to establish the stability of all possible equilibria of the Bristol ladder.