2025/07/11 by Georg Nawratil, Nawratil, Georg
Engineering · #Advanced Materials and Mechanics #Algebraic Geometry (math.AG) #Computational Geometry (cs.CG) #Dynamics and Control of Mechanical Systems #FOS: Computer and information sciences #FOS: Mathematics #Structural Analysis and Optimization
paper · pdf · doi:10.48550/arxiv.2507.08356
openalex publication_date 2025/07/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In analogy to flexible bipyramids, also known as Bricard octahedra, we study flexible couplings of two Bennett mechanisms. The resulting flexible bi-Bennett structures can be used as building blocks of flexible tubes with quadrilateral cross-section that possess skew faces. We present three 4-dimensional families of flexible arranged Bennett tubes and discuss some of their properties as well as their relation to flexible bipyramids and biprisms, respectively.