A Machine Learning-based Characterization Framework for Parametric Representation of Nonlinear Sloshing

TL;DR

This paper introduces a machine learning framework for modeling nonlinear liquid sloshing dynamics, effectively capturing complex behaviors like chaos and switching in experimental tank data.

Contribution

It presents a novel parametric modeling approach combining sequential learning and sparse regularization for nonlinear liquid sloshing representation.

Findings

Successfully modeled nonlinear sloshing dynamics from experimental data.

Captured divergent behaviors such as bursting and switching.

Demonstrated effectiveness across various excitation frequencies and tank configurations.

Abstract

The growing interest in creating a parametric representation of liquid sloshing inside a container stems from its practical applications in modern engineering systems. The resonant excitation, on the other hand, can cause unstable and nonlinear water waves, resulting in chaotic motions and non-Gaussian signals. This paper presents a novel machine learning-based framework for nonlinear liquid sloshing representation learning. The proposed method is a parametric modeling technique that is based on sequential learning and sparse regularization. The dynamics are categorized into two parts: linear evolution and nonlinear forcing. The former advances the dynamical system in time on an embedded manifold, while the latter causes divergent behaviors in temporal evolution, such as bursting and switching. The proposed framework's merit is demonstrated using an experimental dataset of liquid sloshing in a tank under horizontal excitation with a wide frequency range and various vertical slat screen settings.