Tree-like Structures as Hierarchical Coupled Oscillators

Abstract

© Springer Nature Switzerland AG 2020. This bio-inspired study deals with the dynamics of tree-like models whose main structural part mimics a trunk, while the first- and second-order branches are modelled as pendula coupled to it. Conditions for the existence of modes localized in branches are determined in terms of the system parameters. This is then compared with the behaviour of the system performing large-amplitude vibration. It is found that certain localized modes exist when the system performs both small-amplitude vibration and large-amplitude vibration.