• 제목/요약/키워드: boundary integral equation

검색결과 313건 처리시간 0.032초

파랑중 컨테이너선과 하역선의 연결장치에 작용하는 하중계산 (Loads of a Rigid Link Connecting a Container Ship and a Catamaran Type Container Offloading Vessel in Waves)

  • 홍도천;김용욱;한순흥
    • 한국해양환경ㆍ에너지학회지
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    • 제13권2호
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    • pp.83-90
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    • 2010
  • 해양파 중에서 2개 선체가 가까운 거리에 계류되어있는 경우에 2선체의 운동을 엄밀한 파 중 2 부유체 운동이론에 의하여 계산하였다. 2 선체의 방사 및 산란파 포텐셜은 특이파 수 현상이 없는 주파수영역 Improved Green 적분방 정식으로부터 구하였다. 규칙파 중에서 근접한 2선체가 서로 연결되지 않은 경우와 강체 연결장치로 병렬 계류된 된 경우의 운동 및 강체연결체에 작용하는 6방향 힘과 모오멘트를 해석하는 기법과 수치실험 결과도 보였다.

Angular Effect of Virtual Vertices Inserted to Treat The Boundary Edges on an Infinite Conducting Surface

  • Hwang, Ji-Hwan;Kweon, Soon-Koo;Oh, Yisok
    • Journal of electromagnetic engineering and science
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    • 제13권1호
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    • pp.16-21
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    • 2013
  • This study presents the angular effects of virtual vertices inserted for effective treatment of the boundary edge laid on an infinite conducting surface in a half-space scattering problem. We investigated the angular effects of virtual vertices by first computing the radar cross section (RCS) of a specific scatterer; i.e., a tilted conducting plate in contact with the ground surface, by inserting the virtual vertex in half-space. Here, the electric field integral equation is used to solve this problem with various virtual vertex angles (${\theta}_{\nu}$) and conducting plate inclination angles (${\theta}_r$) ranging from $0^{\circ}$ to $180^{\circ}$. The effects of the angles ${\theta}_{\nu}$ and ${\theta}_r$ on the RCS computation are clearly shown with numerical results with and without the virtual vertices in free- and half-spaces.

Difference field 개념의 경계적분방정식을 이용한 3차원 정자장 해석 (3-D Magnetostatic Field Calculation by a Boundary Integral Equation Method using a Difference Field Concept)

  • 박민철;김동훈;박일한
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2000년도 하계학술대회 논문집 B
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    • pp.903-905
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    • 2000
  • For an accurate analysis of three dimensional linear magnetostatic problems, a new boundary integral equation formulation is presented. This formulation adopts difference magnetic field concept and uses single layer magnetic surface charge as unknown. The proposed method is capable of eliminating numerical cancellation errors inside ferromagnetic materials. In additions, computing time and storage memory are reduced by 75% in comparison with the reduced and total scalar potential formulation. Two examples are given to show its efficiency and accuracy.

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ON THE CONVERGENCE OF INEXACT TWO-STEP NEWTON-TYPE METHODS USING RECURRENT FUNCTIONS

  • Argyros, Ioannis K.;Hilou, Said
    • East Asian mathematical journal
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    • 제27권3호
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    • pp.319-337
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    • 2011
  • We approximate a locally unique solution of a nonlinear equation in a Banach space setting using an inexact two-step Newton-type method. It turn out that under our new idea of recurrent functions, our semilocal analysis provides tighter error bounds than before, and in many interesting cases, weaker sufficient convergence conditions. Applications including the solution of nonlinear Chandrasekhar-type integral equations appearing in radiative transfer and two point boundary value problems are also provided in this study.

경사입사파랑중의 사석방파제에 의한 반사율과 투과율에 관한 연구 (Wave Reflection and Transmission Coefficients of Rubble Mound Breakwaters under Oblique Incident Waves)

  • 배기성;김도삼
    • 한국해양공학회지
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    • 제15권1호
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    • pp.31-35
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    • 2001
  • By applying the Boundary Integral Equation Method (BIEM) to obliquely incident for Rubble Mound Breakwater (RMB), wave reflection and transmission the coefficients are studied numerically. The validity of and the present BIEM is confirmed by comparing it with 1)numerical results of the eigenfunction expansion method of Dalrymple et al.(1991), and 2)numerical results of the BIEM of Kojima et al.(1988). Therefore, the characteristics of RMB for obliquely incident waves are investigated according to the variations of the wave period, equivalent linear nondimensional friction coefficient and direction of incident waves. It is revealed that the wave transformations of obliquely incident waves are different from those of normally incident waves.

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임의의 균열표면 하중을 받는 복합채 중앙균열의 응력세기계수 (Stress Intensity Factors for an Interlaminar Crack in Composites under Arbitrary Crack Surface Loadings)

  • 이강용;박문복;김성호
    • 대한기계학회논문집A
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    • 제20권3호
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    • pp.901-909
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    • 1996
  • A model is constructed to evaluate the stress intensity factors(SIFs) for composites with an interlaminar crack subjected to as arbitrary crack surface loading. A mixed boundary value problem is formulated by Fourier integral transform method and a Fredholm integral equation of the second kind is derived. The integral equation is solved numerically and the mode I and II SIFs are evaluated for various shear modulus ratios between each layer, crack length to layer thickness, each term of crack surface polynomial loading and the number of layers. The mode I and II SIFs for the E- glass/epoxy composites as well as the hybrid composites are also evaluated.

균일한 면외 전단하중을 받는 직교 이방성 적층재 내부 중앙균열의 모드 III 응력세기계수 (Mode III Stress Intensity Factors for Orthotropic Layered Material with Internal Center Crack Under Uniform Anti-Plane Shear Loading)

  • 이강용;주성철;김성호
    • 대한기계학회논문집A
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    • 제23권6호
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    • pp.961-967
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    • 1999
  • A model is constructed to evaluate the mode III stress intensity factor(SIF) for orthotropic three-layered material with a center crack subjected to uniform anti-plane shear loading. A mixed boundary value problem is formulated by Fourier integral transform method and a Fredholm integral equation of the second kind is derived. The integral equation is numerically analyzed to evaluate the effects of the ratio of shear modulus, strength of each layer and crack length to layer thickness on the stress intensity factor.

몰수분의 두꺼운 경계층 및 반류해석 (On the Thick Axisymmetric Boundary Layer and Wake Around the Body of Revolution)

  • 강신형;현범수;이영길
    • 한국기계연구소 소보
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    • 통권9호
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    • pp.141-151
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    • 1982
  • An iterative procedure for the calculation of the thick axisymmetric boundary layer and wake near the stern of a body of revolution is presented. Procedure consists of the potential flow calculation by a method of the integral equation of first kind and the calculation of boundary layer and wake by a differential me¬thod of the boundary layer theory. Additionally, higher order terms are included in the conventional momentum equations and continuity equation for the consider¬ation of the characteristics of axisymmetric flow different from the one of two dimentional flow and the thick boundary layer. These solutions are matched at the edge of boundary layer and wake. The results obtained by the present me¬thod are compared with the experimental data and it is found that the nominal wake distribution at the propeller plane of a axisymmetric body is in good agree¬ment with the experiment.

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Free vibration analysis of non-prismatic beams under variable axial forces

  • Saffari, H.;Mohammadnejad, M.;Bagheripour, M.H.
    • Structural Engineering and Mechanics
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    • 제43권5호
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    • pp.561-582
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    • 2012
  • Despite popularity of FEM in analysis of static and dynamic structural problems and the routine applicability of FE softwares, analytical methods based on simple mathematical relations is still largely sought by many researchers and practicing engineers around the world. Development of such analytical methods for analysis of free vibration of non-prismatic beams is also of primary concern. In this paper a new and simple method is proposed for determination of vibration frequencies of non-prismatic beams under variable axial forces. The governing differential equation is first obtained and, according to a harmonic vibration, is converted into a single variable equation in terms of location. Through repetitive integrations, integral equation for the weak form of governing equation is derived. The integration constants are determined using the boundary conditions applied to the problem. The mode shape functions are approximated by a power series. Substitution of the power series into the integral equation transforms it into a system of linear algebraic equations. Natural frequencies are determined using a non-trivial solution for system of equations. Presented method is formulated for beams having various end conditions and is extended for determination of the buckling load of non-prismatic beams. The efficiency and convergence rate of the current approach are investigated through comparison of the numerical results obtained to those obtained using available finite element software.

경계요소법에 의한 축대칭 탄성체의 형상설계 민감도해석을 위한 직접미분법과 터빈 디스크의 형상최적설계 (Direct Differentiation Method for Shape Design Sensitivity Analysis of Axisymmetric Elastic Solids by the BEM and Shape Optimization of Turbin Disc)

  • 이부윤
    • 대한기계학회논문집A
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    • 제20권5호
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    • pp.1458-1467
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    • 1996
  • A direct differentiationmethod is presented for the shape design sensitivity analysis of axisymmeetric elastic solids. Based on the exisymmetric boundary integralequaiton formulation, a new boundary ntegral equatio for sensitivity analysis is derived by taking meterial derivative to the same integral identity that was used in the adjoint variable melthod. Numerical implementation is performed to show the applicaiton of the theoretical formulation. For a simple example with analytic solution, the sensitivities by present method are compared with analytic sensitivities. As an application to the shape optimization, an optimal shape of a gas turbine disc toinimize the weight under stress constraints is found by incorporating the sensitivity analysis algorithm in an optimizatio program.