Work

Modeling dynamic ice–structure interaction with failure zones: Predicting resonance and chaotic responses

Year: 2025

Type: article

Abstract: This paper develops a new analytical and numerical framework to study the nonlinear dynamics of elastic structures under intermittent, shock-like loading from drifting ice floes. Unlike conventional models, we take into account a mixture of water and ice in a failure zone at the ice–structure interface that allows us to describe complex behavior including periodic, resonant, and chaotic regimes. Using a Poincaré map approach, we derive asymptotic expressions for oscillation amplitudes and identify resonance conditions. Near resonance, oscillations amplify significantly, with sensitivity to damping and failure-zone properties. Random pulse loading is modeled via iterated function systems (IFS), predicting fractal attractors under weak damping. Simulations confirm these patterns and match experimental trends linking amplitude to ice velocity. The model captures three key regimes — periodic motion, resonance amplification, and chaotic response — and offers insight into how failure zones affect structural dynamics in ice-covered polar marine environments, supporting better prediction and mitigation of ice-induced vibrations. • Fractal patterns arise from random shock loading in ice–structure interaction. • Poincaré map reveals transition from stable vibration to chaotic dynamics. • Resonance and chaos coexist in a nonlinear model with intermittent forcing.

Source: Chaos Solitons & Fractals

DOI: 10.1016/j.chaos.2025.117754

Authors: Andrei K. Abramian, Sergei A. Vakulenko, Ivan Sudakow

Institutions: Russian Academy of Sciences, Institute of Problems of Mechanical Engineering, The Open University, Search for Extraterrestrial Intelligence

Language: English

Topic: Vibration and Dynamic Analysis

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,970