2018/05/04 by Raj Kumar Pal, Massimo Ruzzene, Pal, Raj Kumar +3
Computer Science · Engineering · #Applied Physics (physics.app-ph) #Computational Geometry and Mesh Generation #FOS: Physical sciences #Soft Condensed Matter (cond-mat.soft) #Structural Analysis and Optimization
paper · pdf · doi:10.48550/arxiv.1805.01943
openalex publication_date 2018/05/04 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
This paper investigates the dynamic properties of one, two and\nthree-dimensional tensegrity-based periodic structures introduced in Rimoli and\nPal, Comp. B, 2017, which are here termed as tensegrity beams, plates and\nsolids, respectively. We study their linear wave propagation properties and\nshow that in each case, these properties can be significantly altered by the\nprestrain in the cables. As the prestrain is varied, we observe jumps in the\nwave velocities at two critical prestrain values, which define transitions\nbetween the three distinct phases of these structural assemblies. At low cable\nprestrains, the wave speeds are zero as the lattices have zero effective\nstiffness. At moderate prestrains, the wave speed is nonzero and finally, at\nprestrain levels where the bars buckle, the wave speed decreases to a lower\nvalue. Dispersion analysis on these beams, plates and solids reveal unique\nproperties such as very low wave velocities compared to their constituent\nmaterial and the existence of flat bands at low frequencies. Furthermore, we\nfind that shear waves travel faster than longitudinal waves in tensegrity\nsolids in a range of cable prestrains. Finally, we verify the key observations\nthrough detailed numerical simulations on finite tensegrity solids.\n