2025S-GS15-3 An Expansion Method around the Mean Position Applied to a Floating Body with Small Oscillations

Osaka Metropolitan University, Aerospace and Marine-System Engineering

抄録

Linearization in wave-body interaction problems may sometimes capture the essence of the problem, such as the wave response characteristics and the relationship between hydrodynamic forces. The linearization can essentially be performed by Taylor expansion around the mean position of the slightly moving boundary surface surrounding the fluid. The forces and moments due to water pressure acting on a floating body can also be evaluated at the mean position using Taylor expansion, but this task is considerably complicated.

In this paper, a transport theorem-like expansion is used to calculate the forces and moments acting on a freely floating body. The hydrostatic pressure, gravitational, inertia and hydrodynamic pressure forces and moments are approximated on the body mean position at rest. The obtained forces and moments were consistent with known expressions. The proposed expansion method about the mean position seems to be effective in approximately evaluating surface and volume integrals having slightly moving surfaces.