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.

Wave Diffraction by a Harbour With Circular Arc Profile by Scaled Boundary FEM

2010 ◽  
Author(s):  
Longbin Tao ◽  
Hao Song
Keyword(s):  
Finite Element ◽  
Wave Diffraction ◽  
Wave Structure ◽  
Wave Theory ◽  
Boundary Element Methods ◽  
Opening Angle ◽  
Linear Wave ◽  
Computational Accuracy ◽  
Circular Arc ◽  
Wave Angle

In this paper, wave diffraction by a harbour is studied by the scaled boundary finite-element method (SBFEM). The semi-analytical approach, with the combined advantages of both finite-element and boundary-element methods, is based on linear wave theory and is applicable to harbours of circular arc profile. The whole solution domain is divided into one unbounded subdomain and one bounded sub-domain by the profile of the harbour. The effects of the incident wave angle and the opening angle of the harbour are discussed. Discretising only the circumference of the harbour, the current semi-analytical SBFEM model exhibits excellent computational accuracy and efficiency. The technique can be extended to solve more practical wave-structure interaction problems with increased complexity.

Scaled Boundary FEM Solution of Wave Diffraction by a Square Caisson

2008 ◽  
Author(s):  
Hao Song ◽  
Longbin Tao
Keyword(s):  
Finite Element Method ◽  
Circular Cylinder ◽  
Wave Diffraction ◽  
Unbounded Domains ◽  
Wave Structure ◽  
Structure Interaction ◽  
Irregular Frequency ◽  
Complex Wave ◽  
Wave Structure Interaction ◽  
Scaled Boundary Finite Element

In this paper, the scaled boundary finite-element method (SBFEM) proposed for interaction of wave and circular cylinder [Tao et al, 2007] is modified and applied to wave diffraction by a vertical square caisson. By introducing a virtual circular cylinder surrounding the square caisson, the whole fluid domain is divided into one unbounded subdomain and four bounded subdomins. The corresponding boundary value problems in bounded and unbounded domains are solved by the SBFEM using different base solutions. Comparisons to the previous BEM solutions demonstrate the excellent computation accuracy and efficiency of the present SBFEM approach, as well as the benefit of not suffering from the difficulties of irregular frequency and singularity problems, which are often encountered by BEM. The method can be extended to solve more complex wave-structure interaction problems resulting in direct engineering applications.

Scaled Boundary FEM Solution of Wave Diffraction by a Circular Cylinder

2007 ◽  
Author(s):  
Hao Song ◽  
Longbin Tao
Keyword(s):  
Differential Equation ◽  
Finite Element ◽  
Circular Cylinder ◽  
Differential Equations ◽  
Wave Diffraction ◽  
Wave Structure ◽  
Boundary Element Methods ◽  
Surface Boundary ◽  
Unbounded Medium ◽  
Matrix Differential

The scaled boundary finite-element method (SBFEM) is a novel semi-analytical approach, with the combined advantages of both finite-element and boundary-element methods. The basic idea behind SBFEM is to discretize the surface boundary by FEM and transform the governing partial differential equations to ordinary differential equations of the radial parameter. The radial differential equation is then solved analytically. It has the inherent advantage for solving problems in unbounded medium with discretization to the interface only. In this paper, SBFEM is applied to solve the wave diffraction by a circular cylinder. The final radial matrix differential equation is solved fully analytically without adoption of any numerical scheme. Comparisons to the previous analytical solutions demonstrate the excellent computation accuracy and efficiency of the present SBFEM approach. It also revealed the great potential of the SBFEM to solve more complex wave-structure interaction problems.

scholarly journals A Hybrid Smoothed Finite Element Method for Predicting the Sound Field in the Enclosure with High Wave Numbers

2019 ◽  
Vol 2019 ◽  
pp. 1-9
Author(s):  
Haitao Wang ◽  
Xiangyang Zeng ◽  
Ye Lei
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Sound Field ◽  
Numerical Dispersion ◽  
Computational Accuracy ◽  
Dispersion Error ◽  
High Wave ◽  
Wave Numbers ◽  
Smoothed Finite Element Method ◽  
Element Method

Wave-based methods for acoustic simulations within enclosures suffer the numerical dispersion and then usually have evident dispersion error for problems with high wave numbers. To improve the upper limit of calculating frequency for 3D problems, a hybrid smoothed finite element method (hybrid SFEM) is proposed in this paper. This method employs the smoothing technique to realize the reduction of the numerical dispersion. By constructing a type of mixed smoothing domain, the traditional node-based and face-based smoothing techniques are mixed in the hybrid SFEM to give a more accurate stiffness matrix, which is widely believed to be the ultimate cause for the numerical dispersion error. The numerical examples demonstrate that the hybrid SFEM has better accuracy than the standard FEM and traditional smoothed FEMs under the condition of the same basic elements. Moreover, the hybrid SFEM also has good performance on the computational efficiency. A convergence experiment shows that it costs less time than other comparison methods to achieve the same computational accuracy.

scholarly journals Investigation of a Stochastic Inverse Method to Estimate an External Force: Applications to a Wave-Structure Interaction

2012 ◽  
Vol 2012 ◽  
pp. 1-25 ◽  
Author(s):  
S. L. Han ◽  
Takeshi Kinoshita
Keyword(s):  
External Force ◽  
Inverse Method ◽  
Inverse Function ◽  
Wave Structure ◽  
Dynamic Responses ◽  
Structure Interaction ◽  
External Forces ◽  
Interaction Problem ◽  
Wave Structure Interaction

The determination of an external force is a very important task for the purpose of control, monitoring, and analysis of damages on structural system. This paper studies a stochastic inverse method that can be used for determining external forces acting on a nonlinear vibrating system. For the purpose of estimation, a stochastic inverse function is formulated to link an unknown external force to an observable quantity. The external force is then estimated from measurements of dynamic responses through the formulated stochastic inverse model. The applicability of the proposed method was verified with numerical examples and laboratory tests concerning the wave-structure interaction problem. The results showed that the proposed method is reliable to estimate the external force acting on a nonlinear system.

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