An analytic study on the properties of solitary waves traveling on tensegrity-like lattices

Autor:	Amendola, Ada
Rok vydání:	2024
Předmět:	Nonlinear Sciences - Pattern Formation and Solitons Mathematical Physics
Zdroj:	International Journal of Non-Linear Mechanics 148 (2023): 104264
Druh dokumentu:	Working Paper
DOI:	10.1016/j.ijnonlinmec.2022.104264
Popis:	This paper develops an analytic study on the existence and properties of solitary waves on 1D chains of lumped masses and nonlinear springs, which exhibit a mechanical response similar to that of tensegrity prisms with locking-type response under axial loading. Making use of the Weierstrass' theory of 1D Lagrangian conservative systems, we show that such waves exist and that their shapes depend on the wave speed. A progressive localization of the traveling pulses in narrow regions of space is observed as the wave speed increases up to a limit value. A comparative analysis illustrates that the presented study is able to capture the wave dynamics observed in previous numerical studies on tensegrity mass-spring chains.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.18026 Zobrazit plný text záznamu View this record from Arxiv