Hydroelastic Response of a Mat-Like Floating Circular Plate Advancing in Waves: Analytical Solution

2004 ◽  
Author(s):  
Tetsuya Matsui
Keyword(s):  
Circular Plate ◽  
Strain Response ◽  
Forward Speed ◽  
Leading Order ◽  
Matching Method ◽  
Bending Strain ◽  
Speed Effect ◽  
Hydroelastic Response ◽  
Plate Geometry ◽  
Scattering And Radiation

The boundary-value problem is formulated to predict the hydroelastic response of a mat-like floating circular plate advancing slowly in waves. The potential flow theory is employed with low forward-speed assumption. The plate is modeled as an elastic plate with zero draught. This assumption allows the steady disturbance potential due to forward speed be neglected, simplifying considerably the problem. By applying the eigenfunction-expansion domain-matching method analytical solutions are derived for the scattering and radiation potentials up to the leading-order terms of the speed-dependent parts. Numerical results are presented for the typical plate geometry. It is shown that the forward-speed effect on the hydroelastic response, especially on the bending strain response, of the plate is significant.

Hydroelastic Response of a Matlike Floating Circular Plate Advancing in Waves

2007 ◽  
Vol 129 (3) ◽  
pp. 201-210
Author(s):  
Tetsuya Matsui
Keyword(s):  
Circular Plate ◽  
Forward Speed ◽  
Leading Order ◽  
Matching Method ◽  
Field Approach ◽  
Wave Drift ◽  
Drift Force ◽  
Hydroelastic Response ◽  
Plate Geometry ◽  
Scattering And Radiation

The boundary value problem is formulated to predict the hydroelastic response of a matlike floating circular plate advancing slowly in waves. The plate is idealized as an elastic plate with zero draught, and the potential flow theory is employed with low forward-speed assumptions. These assumptions allow the steady disturbance potential due to forward speed to be neglected, simplifying the problem considerably. By applying the eigenfunction-expansion domain-matching method, analytical solutions are derived for the scattering and radiation potentials up to the leading-order terms of the speed-dependent parts. The far-field approach is adopted to obtain the expression for the wave drift force. Numerical results are also presented for the typical plate geometry, which demonstrates the significant effect of the forward speed on the hydroelastic response and wave drift force.

Hydroelastic response of a circular plate in waves on a two-layer fluid of finite depth

2014 ◽  
Vol 28 (5) ◽  
pp. 671-686 ◽  
Author(s):  
Qiang Lin ◽  
Dong-qiang Lu ◽  
Ronald W. Yeung
Keyword(s):  
Circular Plate ◽  
Finite Depth ◽  
Hydroelastic Response

Hydroelastic Response of a Circular Plate in Waves Using Scaled Boundary FEM

2009 ◽  
Author(s):  
Hao Song ◽  
Longbin Tao
Keyword(s):  
Finite Element ◽  
Circular Plate ◽  
Wave Structure ◽  
Boundary Element Methods ◽  
Order Partial Differential Equation ◽  
Computational Accuracy ◽  
Complex Wave ◽  
Hydroelastic Response ◽  
Incident Waves ◽  
Wave Structure Interaction

In this paper, the hydroelastic response of a circular plate excited by plane incident waves is studied using the scaled boundary finite-element method (SBFEM), a novel semi-analytical approach with the combined advantages of both finite-element and boundary-element methods. The governing sixth-order partial differential equation is decomposed into three Helmholtz-type equations and solved semi-analytically by matching the boundary conditions at the edge of the plate. Discretising only the circumference of the plate, the current SBFEM model exhibits excellent computational accuracy and efficiency. The technique can be extended to solve more complex wave-structure interaction problems resulting in direct engineering applications.

Nonlinear Theory of Ship Maneuvering

1981 ◽  
Vol 25 (01) ◽  
pp. 21-43
Author(s):  
Chorng-Lin S. Guo
Keyword(s):  
Nonlinear Theory ◽  
Equations Of Motion ◽  
Perturbation Series ◽  
Kernel Functions ◽  
Forward Speed ◽  
Ship Maneuvering ◽  
Complete Space ◽  
Slender Body Theory ◽  
Speed Effect ◽  
Two Parameters

A nonlinear theory of ship maneuvering, based upon the hydrodynamics of arbitrary small motions superimposed upon a constant forward speed, is developed. The problem is formulated as an initial-value problem for the velocity potential expanded in perturbation series in two parameters, ɛs and ɛm, representing the ship thinness or slenderness and its motion, respectively. The various potentials are found as solutions of integral equations constructed using the time-dependent Green function and they exhibit, therefore, memory effects. Then the complete rigid-body equations of motion of the ship are adjoined, resulting in a set of integro-differential equations for the motions. Numerical calculations for the determination of the kernel functions and coefficients occurring in the ship maneuvering equations, by slender-body theory that still includes the forward-speed effect, are made in both time and frequency domains. Complete space-time hydrodynamic force functions for Series 60 Cb = 0.60 have been calculated. Comparison between computed results and existing experimental data shows generally satisfactory agreement.

Prediction of Wave-Induced Motions and Loads of Ships With Forward Speed by Matching Method

2021 ◽  
Author(s):  
Hui Li ◽  
Baoli Deng ◽  
Chunlei Liu ◽  
Jian Zou ◽  
Huilong Ren
Keyword(s):  
Forward Speed ◽  
Matching Method ◽  
Wave Induced

Prediction of Wave-Induced Motions and Loads of Ships With Forward Speed by Matching Method

2020 ◽  
Author(s):  
Hui Li ◽  
Baoli Deng ◽  
Chunlei Liu ◽  
Jian Zou ◽  
Huilong Ren
Keyword(s):  
Green Function ◽  
Exterior Domain ◽  
Boundary Integral ◽  
Control Surface ◽  
Source Distribution ◽  
Forward Speed ◽  
Matching Method ◽  
Distribution Method ◽  
Interior Domain ◽  
Wave Induced

Abstract A novel matching method has been developed to solve the wave-induced motions and loads of ships with forward speed. The fluid domain is divided into two subdomains by a cylindrical control surface: an interior domain and an exterior domain. Unlike the conventional domain decomposition strategy, the control surface is meshless in present method, on which the physical quantities are expanded into Fourier-Laguerre series. Based on forward speed Green function, the source distribution method is adopted to solve the exterior domain. The calculations of boundary integral equation about forward speed Green function over the control surface are performed analytically, and the solution of exterior domain provides a Dirichlet-to-Neumann (DN) relation on the control surface. In the interior domain, the boundary value problem is solved by Rankine source method. In order to be consistent with exterior solution, the control surface is kept meshless. The ship hull is discretized into constant panels. The free-surface is discretized into cubic B-splines to represent the high-order derivatives of velocity potential precisely. Then, the DN relation is used to close the equation system established in the interior domain. Comparisons with known experimental measurements show that the calculations achieve good accuracy. Furthermore, the influences of numerical method used in the exterior domain are described.

scholarly journals On the role of pre-existing, unhealed cracks on the bending strain response of Ag-clad (Bi,Pb)2Sr2Ca2Cu3Ox tapes

1997 ◽  
Vol 70 (8) ◽  
pp. 1034-1036 ◽  
Author(s):  
M. Polak ◽  
J. A. Parrell ◽  
A. A. Polyanskii ◽  
A. E. Pashitski ◽  
D. C. Larbalestier
Keyword(s):  
Strain Response ◽  
Bending Strain

scholarly journals Motion Simulation of a Fine Shaped Vessel at Hiron Point in the Bay of Bengal

1970 ◽  
Vol 2 (2) ◽  
pp. 25-40
Author(s):  
M Rafiqul Islam ◽  
Md Munir Hassan ◽  
Md Sdaiqul Baree
Keyword(s):  
Mathematical Model ◽  
Bay Of Bengal ◽  
Wave Spectrum ◽  
Research Work ◽  
Irregular Waves ◽  
Source Distribution ◽  
Forward Speed ◽  
Distribution Method ◽  
Hydrodynamic Behaviour ◽  
Speed Effect

The hydrodynamic behaviour of a fast fine vessel is of great importance than that of a fuller vessel as the fast fine vessels are engaged for important operations. Moreover with the advent of modern computers, in ship hydrodynamics, 3-D source distribution method is gaining much popularity and normally applied for blocky hull. But in the case of finer hull, examples are rare especially considering forward speed effect. With these views in mind, in the present research work, effort has been given to develop a mathematical model for fine shape vessel to predict and simulate her motions in irregular waves. A computer program has been developed on the basis of mathematical model and to examine the validity of the developed program, results for hydrodynamic coefficient and motions of a series 60 ship have been compared with Gerristma's experimental results and with the results based on other codes. After validation of the program, simulation of motions of an existing the fine shape ship has been carried out at Hiron point of the Bay of Bengal by utilizing hydrodynamic coefficients and wave exciting forces and moments obtained in regular waves and a new wave spectrum formula based on wave data at the concerned location. On the basis of the results presented, it may be concluded that the developed model based on 3-D distribution technique can be applied for prediction of motion of fine shape ship with forward speed effect. Moreover limitations of operation of the vessel have been demonstrated at various combinations of significant wave heights and speeds. doi:10.3329/jname.v2i2.1870  Journal of Naval Architecture and Marine Engineering 2(2005) 25-40

Advances in the three-dimensional hydroelasticity of ships

2009 ◽  
Vol 223 (3) ◽  
pp. 331-348 ◽  
Author(s):  
Y-S Wu ◽  
W-C Cui
Keyword(s):  
Three Dimensional ◽  
Experimental Techniques ◽  
Forward Speed ◽  
Floating Structure ◽  
Marine Structure ◽  
Great Progress ◽  
Non Linear ◽  
Speed Effect ◽  
The Time Domain ◽  
Surrounding Fluid

The study of hydroelasticity of ships first gained momentum in the late 1970s with the work of Bishop and Price, who established the two-dimensional (2D) hydroelasticity theory of ships. The concept and basic principle presented in their work to embody the structure and the surrounding fluid as a coupled entirety was further employed and extended in the creation of the general linear three-dimensional (3D) theory of hydroelasticity for an arbitrary shaped flexible marine structure travelling with a forward speed in a seaway in the middle of 1980s (Wu, 1984; Price and Wu, 1985a; Bishop et al., 1986). Since then, great progress has been achieved in the development and application of 3D hydroelasticity theories. These include the more rigorous methods of frequency-domain linear analysis accounting for the forward speed effect and the steady flow effect, the time-domain linear 3D theory, the non-linear 3D theory and the numerical methods for a floating structure travelling in rough seas with large motions, experimental techniques of 3D flexible ship models, the hydroelasticity-based design and safety assessment, etc. This paper presents an overview of these developments and achievements of linear and non-linear 3D hydroelasticity theories of ships, and the corresponding numerical and experimental techniques.

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