Summary
This work investigates the dynamic responses of a fluid-structure interaction (FSI) system executing vortex-induced vibrations (VIVs) when subjected to soft impacts with a deformable barrier. Discontinuity-induced bifurcations (DIBs) like grazing, followed period-added cascades interspersed with chaotic orbits, are observed on varying stiffness of the barrier. A comprehensive study of altering stiffnesses of the impacting barrier is carried out. Additionally, the effect of a pre-stressed barrier is also explored. Transverse discontinuity mappings (TDMs) associated with these interactions are studied with an intent to analyze the dynamics in the vicinity of the barrier. Further analysis, utilizing both Floquet multipliers and Lyapunov exponents, serves the crucial purpose of evaluating the system’s stability and predicting its response to perturbations, thereby offering valuable insights into the overall dynamical behavior.