• Title/Summary/Keyword: boundary method

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Analysis of the Stresses for Hydraulic Actuator Cylinders using Boundary Element Method (경계요소법을 이용한 유압 엑츄에이터 실린더의 응력해석)

  • Kim, O.S.
    • Journal of Power System Engineering
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    • v.5 no.1
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    • pp.104-109
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    • 2001
  • The stress distributions of hydranlic actuator cylinder tube acting in uniform inner pressure were analysed by the boundary element method(BEM). STKM13C tube was utilized for machine structural purposes model, its inner radius was 100 mm and outer radius was 140 mm. Axial length was semi-infinite and the isoparametric element of BEM was used. Radial and tangential stresses are maximum(-20.3 MPa and 52 MPa) at the inner radius and the minimum at the outer radius of the hydraulic actuator cylinders for an industrial systems. Stress diminution ratio was about 0.6 MPa/mm. And then coincidence between the simulation techniques as exact results(Lame' equation) and finite element method(FEM) is found to be fairly good, showing that the proposed analysis by BEM is reliable.

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The Effect evaluation of the hole near a crack tip by Boundary Element Method (경계요소법을 이용한 균열선단 원공의 영향 평가)

  • 이대영;김성재
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2000.10a
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    • pp.434-439
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    • 2000
  • In this paper, in order to study the geometric factor effect of a circular hole near a crack tip in a semi-infinite plate, the Dimensionless Stress Intensity Factor, $F(=\frac K {\sigma {\sqrt{\pi a}}})$ is analyzed at the crack tip using a two Dimensional Boundary Element Method (BEM) program which is known as superior in Fracture Mechanics. Kelvin's solution was used as a fundamental solution in BEM analysis and displacement extrapolation method was used to determine Stress Intensity Factor.

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Estimation of Defect Position on the Pipe Line by Inverse Problem (역 문제에 의한 파이프의 결함위치 평가)

  • Park, Sung-Oan
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.20 no.2
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    • pp.139-144
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    • 2011
  • This paper presents a boundary element application to determine the optimal impressed current densities at defect position on the pipe line. In this protection paint, enough current must be impressed to lower the potential distribution on the metal surface to the critical values. The optimal impressed current densities are determined in order to minimize the power supply for protection. This inverse problem was formulated by employing the boundary element method. Since the system of linear equations obtained was ill-conditioned, including singular value decomposition, conjugate gradient method were applied and the accuracies of these estimation. Several numerical examples are presented to demonstrate the practical applicability of the proposed method.

A Study on the improvement of element division of hydrid integral method for analyzing of the offshore structures (해양구조물의 동요해석을 위한 Hybrid적분방정식법의 요소분할 개선에 관한 연구)

  • Lee, Sang-Yeob
    • Journal of the Korean Society of Industry Convergence
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    • v.2 no.2
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    • pp.3-10
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    • 1999
  • Recently, It is proceeding the project of offshore structures in the many contury. A hybrid boundary-integral method is developed for computing wave forces on floating bodies. In this method, using the cylindric boundary for deviding elements, it is convenient to analysis but is difficult to apply to the rectangular or slender bodies. Thus, in this paper, I propose the new method by using the fictitious vertical cylinder of arbitary cross-section and shows results of the numerical analysis for testing.

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CONVERGENCE ANALYSIS ON GIBOU-MIN METHOD FOR THE SCALAR FIELD IN HODGE-HELMHOLTZ DECOMPOSITION

  • Min, Chohong;Yoon, Gangjoon
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.18 no.4
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    • pp.305-316
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    • 2014
  • The Hodge-Helmholtz decomposition splits a vector field into the unique sum of a divergence-free vector field (solenoidal part) and a gradient field (irrotational part). In a bounded domain, a boundary condition needs to be supplied to the decomposition. The decomposition with the non-penetration boundary condition is equivalent to solving the Poisson equation with the Neumann boundary condition. The Gibou-Min method is an application of the Poisson solver by Purvis and Burkhalter to the decomposition. Using the $L^2$-orthogonality between the error vector and the consistency, the convergence for approximating the divergence-free vector field was recently proved to be $O(h^{1.5})$ with step size h. In this work, we analyze the convergence of the irrotattional in the decomposition. To the end, we introduce a discrete version of the Poincare inequality, which leads to a proof of the O(h) convergence for the scalar variable of the gradient field in a domain with general intersection property.

Resolution Enhanced Computational Integral Imaging Reconstruction by Using Boundary Folding Mirrors

  • Piao, Yongri;Xing, Luyan;Zhang, Miao;Lee, Min-Chul
    • Journal of the Optical Society of Korea
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    • v.20 no.3
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    • pp.363-367
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    • 2016
  • In this paper, we present a resolution-enhanced computational integral imaging reconstruction method by using boundary folding mirrors. In the proposed method, to improve the resolution of the computationally reconstructed 3D images, the direct and reflected light information of the 3D objects through a lenslet array with boundary folding mirrors is recorded as a combined elemental image array. Then, the ray tracing method is employed to synthesize the regular elemental image array by using a combined elemental image array. From the experimental results, we can verify that the proposed method can improve the visual quality of the computationally reconstructed 3D images.

Analysis of equivalent inductance in the coplanar waveguide discontinuities by boundary element method (경계요소법에 의한 코플래너 도파로 불연속의 등가 인덕턴스 해석)

  • 강연덕;이택경
    • Journal of the Korean Institute of Telematics and Electronics D
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    • v.34D no.6
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    • pp.11-19
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    • 1997
  • For the circuit modeling of th ecoplanar waveguide (CPW) discontinuities, th eequivalent inductance is analyzed via the 3-dimensional boundary element method. The proposed method utilizes the magnetic scalar potential to obtain the magnetic flux passing sthrough the air-dielectric interfaces of the coplanar waveguide. The boundary integral is simplified by use fo the symmetry when the substrate is composed of the nonmagnetic material. In the numerical analysis, linear basis function and the collocationscheme are employed. The short-end and the step discontinuities are cahracterized through the calculations of the equivalent inductance andd the capacitance. The present method avoids the usual vector formulation and is quite advantageous in the quasi-staic characterization of the CPW disconditnuities.

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Optimum Location of Electrode of Cathodic Protection System by using Boundary Element Method (BEM을 이용한 Cathode 방식 시스템에서 전극 위치 최적화)

  • Lee, Kwang-Ho;Chung, Koon-Seok;Baik, Dong-Chul;Cho, Yun-Hyun
    • Proceedings of the KIEE Conference
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    • 2000.07b
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    • pp.772-774
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    • 2000
  • The objective of a cathodic protection system (CP) is to protect the buried metallic structure against the corrosion caused by chemical reaction between the buried structure and the surrounding medium, such as soil. This paper presents a boundary element application to determine the optimal impressed current densities in a cathodic protection system. The potential within the electrolyte is described by the Laplace's equation with nonlinear boundary conditions which are enforced based on experimentally determined electrochemical polarization curves. The optimal impressed current densities are determined in order to minimize the power supply for protection. The solution is obtained by using the conjugate gradient method in which the governing equations and the protecting conditions are taken into account by the penalty function method. Numerical example are presented to demonstrate the practical applicability of the proposed method.

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Dynamic characteristics of hygro-magneto-thermo-electrical nanobeam with non-ideal boundary conditions

  • Ebrahimi, Farzad;Kokaba, Mohammadreza;Shaghaghi, Gholamreza;Selvamani, Rajendran
    • Advances in nano research
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    • v.8 no.2
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    • pp.169-182
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    • 2020
  • This study presents the hygro-thermo-electromagnetic mechanical vibration attributes of elastically restrained piezoelectric nanobeam considering effects of beam surface for various elastic non-ideal boundary conditions. The nonlocal Eringen theory besides the surface effects containing surface stress, surface elasticity and surface density are employed to incorporate size-dependent effects in the whole of the model and the corresponding governing equations are derived using Hamilton principle. The natural frequencies are derived with the help of differential transformation method (DTM) as a semi-analytical-numerical method. Some validations are presented between differential transform method results and peer-reviewed literature to show the accuracy and the convergence of this method. Finally, the effects of spring constants, changing nonlocal parameter, imposed electric potential, temperature rise, magnetic potential and moisture concentration are explored. These results can be beneficial to design nanostructures in diverse environments.

An Immersed-Boundary Method for Simulation of Density-Stratified Flows (밀도 성층 유동 해석을 위한 가상경계법)

  • Yoon, Dong-Hyeog;Yang, Kyung-Soo;Hwang, Jong-Yeon;Lee, Sung-Su
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.1909-1914
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    • 2004
  • An immersed boundary method for simulation of density-stratified flows is developed and applied to computation of viscous flows over two-dimensional obstacles in a bounded domain under stable density stratification. Density sources/sinks are introduced on the body surface. Two obstacle shapes are used, a vertical barrier and a smooth cosine-shaped hill; weak stratification, defined by $K=ND/{\pi}U{\leq}1$, where U, N, and D are the upstream velocity, buoyancy frequency, and domain height, respectively, is considered. The results are consistent with other authors' calculations, and shed light on computation of density-stratified flows in complex geometries.

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