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arXiv · 2603.12786

Analysis of a Model for a Floating Platform Coupled with a Flexible Beam

Vicente Ocqueteau
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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.

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Vicente Ocqueteau. 2026-03-13. Analysis of a Model for a Floating Platform Coupled with a Flexible Beam. https://arxiv.org/abs/2603.12786

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