Formulation of consistent restoring stiffness in ship hydroelastic analysis

Senjanović, Ivo; Vladimir, Nikola; Tomić, Marko

doi:10.1007/s10665-011-9468-2

Cited by 15 publications

(3 citation statements)

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“…(9). A number of computations including deformational curvature and VBM were performed using the TPSLAM hydroelastoplastic code, and they are plotted and compared with the calculations of hydroelasticity, so that the difference between the nonlinear and linear dynamic results can be obtained transparently.…”

Section: Calculation Of Hydroelastoplasticitymentioning

confidence: 99%

“…Senjanovic et al [7] used a Timoshenko beam theory in one-dimensional analysis with application to ship vibra tions due to large aspect ratio of ship depth and length. Senjanovic et al [9,10] regarded restoring stiffness consisting of few hydrostatic and gravity components and different formulations. Senjanovic et al [9,10] regarded restoring stiffness consisting of few hydrostatic and gravity components and different formulations.…”

Section: Introductionmentioning

confidence: 99%

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A Two-Dimensional Hydroelastoplasticity Method of a Container Ship in Extreme Waves

Liu

Suzuki

Shibanuma

2015

Journal of Offshore Mechanics and Arctic Engineering

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Extreme waves have led to many accidents and losses of ships at sea. In this paper, a two-dimensional (2D) hydroelastoplasticity method is proposed as a means of studying the nonlinear dynamic response of a container ship when traversing extreme waves, while considering the ultimate strength of the ship. On one hand, traditional ultimate strength evaluations are undertaken by making a quasi-static assumption and the dynamic wave effect is not considered. On the other hand, the dynamic response of a ship as induced by a wave is studied on the basis of the hydroelasticity theory so that the nonlinear struc tural response of the ship cannot be obtained for large waves. Therefore, a 2D hydroelas toplasticity method, which takes the coupling between time-domain waves and the nonlinear ship beam into account, is proposed. This method is based on an hydroelastic ity method and a simplified progressive collapse method that combines the wave load and the structural nonlinearity. A simplified progressive collapse method, which considers the plastic nonlinearity and buckling effect of stiffened, is used to calculate the ultimate strength and nonlinear relationship between the bending moment and curvature, so that the nonlinear relationship between the rigidity and curvature is also obtained. A dynamic reduction in rigidity related to deformation could influence the strength and curvature of a ship's beam; therefore, it is input into a dynamic hydrodynamic formula rather than being regarded as a constant structural rigidity in a hydroelastic equation. A number of numerical extreme wave models are selected for computing the hydroelastoplasticity, such that large deformations occur and nonlinear dynamic vertical bending moment (VBM) is generated when the ship traverses these extreme waves. As the height and Froude number of these extreme waves are increased, a number of hydroelastoplasticity results including VBM and deformational curvature are computed and compared with results obtained with the hydroelasticity method, and then, some differences are observed and conclusions are drawn.

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Section: Calculation Of Hydroelastoplasticitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Two-Dimensional Hydroelastoplasticity Method of a Container Ship in Extreme Waves

Liu

Suzuki

Shibanuma

2015

Journal of Offshore Mechanics and Arctic Engineering

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“…The definition of restoring stiffness, as a part of the methodology of hydroelastic analysis, was found to be quite complex, (Senjanović et al 2012a, Senjanović et al 2013. The objective of this article is to investigate the impact of different restoring stiffness formulations on a hydroelastic indirectly included as a rigid body part of geometric stiffness.…”

Section: Introductionmentioning

confidence: 99%

Restoring stiffness formulations and their influence on ship hydroelastic response

Senjanović¹,

Hadžić²,

Vladimir³

et al. 2013

Developments in Maritime Transportation and Exploitation of Sea Resources

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Hydroelastic analysis, with contemporary and well developed methodology, is capable of adequately capturing complex fluid-structure interaction related to ultra large container ships. A physical phenomenon of springing and whipping of modern container ships are commonly analyzed within hydroelastic methodology composed of three main parts, i.e. structural, hydrodynamic and hydrostatic mathematical model. In order to ensure valuable and reliable results, their proper definition is inevitable. This paper deals with three current restoring stiffness formulations, consistent one with distributed ship mass, consistent one with lumped masses and complete one. Consistent formulation is based on ship hydrostatics, while complete is structurally oriented with geometric stiffness included. Formulation of the restoring stiffness via the finite element method is developed as very useful approach for practical utilization of the hydroelasticity methodology. The validity of new developed approach is checked in a case of regular barge one real life container ship.

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