Slamming loads on wetdecks of multihull vessels

Kvalsvold, Jan; Faltinsen, Odd M.

doi:10.1201/9780203751503-21

Cited by 3 publications

(2 citation statements)

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“…To the best of the authors' knowledge, added-mass matrices were introduced by Kvålsvold & Faltinsen (1993, 1995 in the problem of wave impact onto a wetdeck of a multihull vessel. The wetdeck was modelled as Euler and Timoshenko beams correspondingly.…”

Section: Introductionmentioning

confidence: 99%

Eigenmodes and added-mass matrices of hydroelastic vibrations of complex structures

Korobkin,

Khabakhpasheva,

Shishmarev

2023

J. Fluid Mech.

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The eigenmodes and eigenfrequencies of two-dimensional elastic structures in contact with a liquid are investigated within the linear theory of hydroelasticity. The shapes of the structural vibrations and the hydrodynamic loads acting on the structure are calculated at the same time. The wet modes are obtained as superpositions of the dry modes of the structure, where the coefficients are solutions of a matrix equation with the hydrodynamic loads being represented by an added-mass matrix. The added-mass matrix of a homogenous elastic plate is calculated analytically through Bessel functions. Added-mass matrices of complex structures are obtained using representations of the dry modes through dry modes of the homogeneous plate of the same length. Relations between wet and dry modes and their frequencies depending on parameters of the problems are studied. The structure could be made of several plates, connected or not, completely or partially wetted, and of any variable thickness and rigidity. The main contribution to a wet mode comes from the corresponding dry mode. The wet frequency is below the corresponding dry frequency with their ratios being weakly dependent on the properties of the structure. This finding is new. The obtained added-mass matrices are suggested to use in problems of hydroelastic slamming for any geometry of impacting elastic body and any distributions of its elastic characteristics. The matrices can be also used to design an interface between hydrodynamic and structural solvers in numerical analysis of hydroelastic slamming.

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Section: Introductionmentioning

confidence: 99%

Eigenmodes and added-mass matrices of hydroelastic vibrations of complex structures

Korobkin,

Khabakhpasheva,

Shishmarev

2023

J. Fluid Mech.

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“…The temporal strain at the middle point has been monitored, and its peak value was found. This was then compared against experimental measurements found in Kvålsvold et al (1995) (figure 19). The model slightly over-predicts the maximum strain at U ≈ 0.11 × 10 −6 .…”

Section: Appendix a Mesh Convergence Studymentioning

confidence: 99%

A fluid–solid momentum exchange method for the prediction of hydroelastic responses of flexible water entry problems

2023

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The paper presents a Fluid Structure Interaction (FSI) method for hydroelastic water entry. The method assumes that the momentum exchange between the fluid and solid body can be used for the calculation of pressure, deformation and stresses arising during impact. The flexible fluid–structure interactions of flat plates entering water are solved using a computational code that employs the finite volume method to discretise both fluid and solid equations. This provides a better matching of momentum on the fluid–solid interface. The momentum arising in the solid body that emerges after the impact is defined as the momentum exchange, and is shown to increase linearly under the increase of non-dimensional impact speed. The ratio of the maximum pressure arising in an elastic body entering water to that of a rigid body is termed relative pressure and is shown to decrease linearly as a function of momentum exchange. The latter verifies the main hypothesis of this paper, namely that ‘the pressure acting on an elastic body can be predicted using an unsophisticated equation that uses the momentum exchange.’ The deformation and stresses arising in elastic plates entering water are demonstrated to be functions of momentum exchange and can be found using simple equations formulated via parametrisation of data. It is concluded that subject to further validation, the method could be extended for the prediction of hydroelastic response of other sections/bodies entering water.

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