• 제목/요약/키워드: Kelvin's Solution

검색결과 21건 처리시간 0.02초

Neumann-Kelvin 이론에 의한 조파 저항의 수치 계산 (Numerical Calculations of the Wave Resistance of Ships by Neumann-Kelvin Theory)

  • 어민우;손봉룡;강신형
    • 대한조선학회지
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    • 제24권2호
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    • pp.1-10
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    • 1987
  • The wave resistance of ships is calculated with the numerical solution of the Newmann-Kelvin problem. For the sake of the numerical evaluation of the Green function, Shen and Farell's method is used[7]. In particular, the contribution of the line integral term in the Neumann-Kelvin problem to the calculated values of the wave resistance is shown. For the Wigley's hull the calculated values of the wave resistance and the wave profiles at the hull surface are in fairly good agreement with the experimental data. However, for the series 60 hull and the practical hull, a 454,000 cubic feet reefer vessel, the calculated results of the wave resistance show definte hollows and humps considering the experimental result.

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A B-Spline Higher Order Panel Method Applied to the Radiation Wave Problem for a 2-D Body Oscillating on the Free Surface

  • Hong, D.C.;Lee, C.-S.
    • Journal of Ship and Ocean Technology
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    • 제3권4호
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    • pp.1-14
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    • 1999
  • The improved Green integral equation using the Kelvin-type Green function in known free of irregular frequencies where the integral over the inner free surface integral is removed from the integral equation, resulting in an overdetermined integral equation. The solution of the overdetermined Green integral equation is shown identical with the solution of the improved Green integral equation Using the B-spline higher order panel method, the overdetermined equation is discretized in two different ways; one of the resulting linear system is square and the other is redundant. Numerical experiments show that the solutions of both are identical. Using the present methods, the exact values and higher derivatives of the potential at any place over the wetted surface of the body can be found with much fewer panels than low order panel method.

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MATHEMATICAL ANALYSIS OF CONTACT PROBLEM WITH DAMPED RESPONSE OF AN ELECTRO-VISCOELASTIC ROD

  • LAHCEN OUMOUACHA;YOUSSEF MANDYLY;RACHID FAKHAR;EL HASSAN BENKHIRA
    • Journal of applied mathematics & informatics
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    • 제42권2호
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    • pp.305-320
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    • 2024
  • We consider a mathematical model which describes the quasistatic contact of electro-viscoelastic rod with an obstacle. We use a modified Kelvin-Voigt viscoelastic constitutive law in which the elasticity operator is nonlinear and locally Lipschitz continuous, taking into account the piezoelectric effect of the material. We model the contact with a general damped response condition. We establish a local existence and uniqueness result of the solution by using arguments of time-dependent nonlinear equations and Schauder's fixed-point theorem and obtain a global existence for small enough data.

On the dynamics of rotating, tapered, visco-elastic beams with a heavy tip mass

  • Zeren, Serkan;Gurgoze, Metin
    • Structural Engineering and Mechanics
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    • 제45권1호
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    • pp.69-93
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    • 2013
  • The present study deals with the dynamics of the flapwise (out-of-plane) vibrations of a rotating, internally damped (Kelvin-Voigt model) tapered Bernoulli-Euler beam carrying a heavy tip mass. The centroid of the tip mass is offset from the free end of the beam and is located along its extended axis. The equation of motion and the corresponding boundary conditions are derived via the Hamilton's Principle, leading to a differential eigenvalue problem. Afterwards, this eigenvalue problem is solved by using Frobenius Method of solution in power series. The resulting characteristic equation is then solved numerically. The numerical results are tabulated for a variety of nondimensional rotational speed, tip mass, tip mass offset, mass moment of inertia, internal damping parameter, hub radius and taper ratio. These are compared with the results of a conventional finite element modeling as well, and excellent agreement is obtained.

Single-Layer 포텐셜과 가중함수를 이용한 응력강도계수의 계산 (Calculation of Stress Intensity Factors Using Single-Layer Potential and Weight Function)

  • 이형연;홍창선
    • 대한기계학회논문집
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    • 제19권4호
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    • pp.981-989
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    • 1995
  • A new weight function approach to determine SIF(stress intensity factor) using single-layer potential has been presented. The crack surface displacement field was represented by one boundary integral term whose kernel was modified from Kelvin's fundamental solution. The proposed method enables the calculation of SIF using only one SIF solution without any modification for the crack geometries symmetric in two-dimensional plane such as a center crack in a plate with or without an internal hole, double edge cracks, circumferential crack or radial cracks in a pipe. The application procedure to those crack problems is very simple and straightforward with only one SIF solution. The necessary information in the analysis is two reference SIFs. The analysis results using present closed-form solution were in good agreement with those of the literature.

이종재 브레이징 계면에서의 균열거동해석 (Analysis of Crack Behavior of dissimilar materials in Brazed Interface By BEM)

  • 오환섭;김시현;김성재
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2001년도 추계학술대회(한국공작기계학회)
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    • pp.269-274
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    • 2001
  • Applications of Brazing in the studying fields such as High-Speed Machining are very increasing in various industry fields. Therefore, Applying to the fracture mechanics by numerical analysis method is very important to analyse the crack problem Dissimilar Materials in Brazed Interface. In this study, Stress intensity Factor (S.I.F) is analysed to investigate crack behavior on the crack tip of dissimilar materials in brazed interface such as a Hardmetal and a HSS by two dimensional(2-D) Boundary Element Method (BEM). Kelvin's solution was used as a fundamental solution in BEM analysis and stress extrapolation method was used to determine Stress Intensity Factor.

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Fin-Tube 이종재의 고주파 압접 접합계면 및 계면균열 응력해석 (The Analysis of Stress Behavior in welded interface and interface crack of High Frequency Pressure welding of Dissimilar materials for Fin-Tube)

  • 김도형;이동진;오환섭
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2000년도 추계학술대회논문집 - 한국공작기계학회
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    • pp.380-385
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    • 2000
  • In this study, geometric shape and crack in welded interface of the air cooled heat exchanger Fin-Tube of Dissimilar Meterials was analysed. The object of study is to understand the behavior of Stress Intensity Factor for fin length, flash thickness, flash length, symmetric and asymmetric cracks of comming from the manufacturing process. Stress Intensity Factor was analysed by BEM. Kelvin's solution was used as a fundamental solution in BEM analysis and stress extrapolation method was used to determine Stress Intensity Factor.

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

  • 이대영;김성재
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2000년도 추계학술대회논문집 - 한국공작기계학회
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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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이종재 브레이징 계면에서의 균열거동 해석 (Analysis of Crack Behavior of Brazed Interface in Dissimilar Materials using BEM)

  • 오환섭;김시현;김성재;양인수
    • 한국공작기계학회논문집
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    • 제11권6호
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    • pp.91-97
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    • 2002
  • Applications of brazing in the studying fields such as high-speed machining are very increasing in various industry fields. Therefore, applying to the fracture mechanics by numerical analysis method is very important to analyse the crack problem dissimilar materials in brazed interface. In this study, stress intensity factor(SIF) is analysed to investigate crack behavior on the crack tip of dissimilar materials in brazed interface such as a hardmetal and a HSS by two dimensional(2-D) BEM. Kelvin's solution was used as a fundamental solution in BEM analysis and stress extrapolation method was used to determine SIF.

패널법을 이용한 일반 상선의 비선형 조파문제 해석 (Analysis of the Nonlinear Wave-Making Problem of Practical Hull Forms Using Panel Method)

  • 김도현;김우전;반석호
    • 대한조선학회논문집
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    • 제37권4호
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    • pp.1-10
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    • 2000
  • 일반 상선의 비선형 조파문제를 해석하기 위해 상방향 패널법에 기반을 둔 패널법을 개발하였다. 먼저 현재의 비선형 방법의 검증을 위해 많은 실험값이 존재하는 Series 60 선형에 개발된 방법을 적용하였다. 실제적인 응용의 경우로 KRISO 3600TEU 컨테이너선과 KRISO 300K 유조선에 개발된 방법을 적용하였다. 특히 두 상선이 유기하는 파계의 비선형성에 중점을 두고 계산된 파계를 KRISO의 실험값과 비교, 검증하였다. 현재의 비선형 방법은 Dawson의 방법이나 Neumann-Kelvin해와 같은 선형 방법에 비해 월등히 그 결과가 좋음이 확인되었다.

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