# Hydroelastic analysis of cantilever plate in time domain

Fuat Kara, D. Vassalos

Research output: Contribution to journalArticle

17 Citations (Scopus)

### Abstract

Numerical solutions for the hydroelastic problems of bodies are studied directly in the time domain using Neumann-Kelvin formulation. In the hydrodynamic part of problem, the exact initial boundary value problem is linearized using the free stream as a basis flow, replaced by the boundary integral equation applying Green theorem over the transient free surface Green function. The resultant boundary integral equation is discretized using quadrilateral elements over which the value of the potential is assumed to be constant and solved using the trapezoidal rule to integrate the memory or convolution part in time. In the structure part of the problem, the finite element method is used to solve the hydroelastic problem. The Mindlin plate as a bending element, which includes transverse shear effect and rotary inertia effect are used. The present numerical results show acceptable agreement with experimental, analytical, and other published numerical results.
Language English 122-132 10 Ocean Engineering 34 1 10.1016/j.oceaneng.2005.12.008 Published - Jan 2007

### Fingerprint

Boundary integral equations
Mindlin plates
Convolution
Green's function
Boundary value problems
Hydrodynamics
Finite element method
Data storage equipment

### Keywords

• time domain
• transient wave Green function
• Mindlin plate
• hydroelasticity

### Cite this

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title = "Hydroelastic analysis of cantilever plate in time domain",
abstract = "Numerical solutions for the hydroelastic problems of bodies are studied directly in the time domain using Neumann-Kelvin formulation. In the hydrodynamic part of problem, the exact initial boundary value problem is linearized using the free stream as a basis flow, replaced by the boundary integral equation applying Green theorem over the transient free surface Green function. The resultant boundary integral equation is discretized using quadrilateral elements over which the value of the potential is assumed to be constant and solved using the trapezoidal rule to integrate the memory or convolution part in time. In the structure part of the problem, the finite element method is used to solve the hydroelastic problem. The Mindlin plate as a bending element, which includes transverse shear effect and rotary inertia effect are used. The present numerical results show acceptable agreement with experimental, analytical, and other published numerical results.",
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In: Ocean Engineering, Vol. 34, No. 1, 01.2007, p. 122-132.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Hydroelastic analysis of cantilever plate in time domain

AU - Kara, Fuat

AU - Vassalos, D.

PY - 2007/1

Y1 - 2007/1

N2 - Numerical solutions for the hydroelastic problems of bodies are studied directly in the time domain using Neumann-Kelvin formulation. In the hydrodynamic part of problem, the exact initial boundary value problem is linearized using the free stream as a basis flow, replaced by the boundary integral equation applying Green theorem over the transient free surface Green function. The resultant boundary integral equation is discretized using quadrilateral elements over which the value of the potential is assumed to be constant and solved using the trapezoidal rule to integrate the memory or convolution part in time. In the structure part of the problem, the finite element method is used to solve the hydroelastic problem. The Mindlin plate as a bending element, which includes transverse shear effect and rotary inertia effect are used. The present numerical results show acceptable agreement with experimental, analytical, and other published numerical results.

AB - Numerical solutions for the hydroelastic problems of bodies are studied directly in the time domain using Neumann-Kelvin formulation. In the hydrodynamic part of problem, the exact initial boundary value problem is linearized using the free stream as a basis flow, replaced by the boundary integral equation applying Green theorem over the transient free surface Green function. The resultant boundary integral equation is discretized using quadrilateral elements over which the value of the potential is assumed to be constant and solved using the trapezoidal rule to integrate the memory or convolution part in time. In the structure part of the problem, the finite element method is used to solve the hydroelastic problem. The Mindlin plate as a bending element, which includes transverse shear effect and rotary inertia effect are used. The present numerical results show acceptable agreement with experimental, analytical, and other published numerical results.

KW - time domain

KW - transient wave Green function

KW - Mindlin plate

KW - hydroelasticity

UR - http://dx.doi.org/10.1016/j.oceaneng.2005.12.008

U2 - 10.1016/j.oceaneng.2005.12.008

DO - 10.1016/j.oceaneng.2005.12.008

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JO - Ocean Engineering

T2 - Ocean Engineering

JF - Ocean Engineering

SN - 0029-8018

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