Analysis of a Model for a Floating Platform Coupled with a Flexible Beam
Abstract
We provide a rigorous mathematical analysis of a coupled system consisting of a floating platform in a fluid of finite depth, clamped to a flexible Euler-Bernoulli beam. The superstructure supports a rigid tip mass at its free end, resulting in a complex multi-physics interaction between potential flow, rigid-body dynamics, and elasticity. We derive the governing equations by coupling the linearised water-wave equations with the dynamics of the floating foundation and the tip-mass payload. The resulting system is formulated as an abstract Cauchy problem in an appropriate Hilbert space. By employing C0-semigroup theory, we establish its well-posedness. Finally, we derive the exact physical energy balance and prove the energy conservation of the system.
Cite
@article{arxiv.2603.12786,
title = {Analysis of a Model for a Floating Platform Coupled with a Flexible Beam},
author = {Vicente Ocqueteau},
journal= {arXiv preprint arXiv:2603.12786},
year = {2026}
}