• 대한조선학회지
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• 제13권3호
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• pp.1-9
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• 1976

A numerical method for solving the boundary-value problem related to potential flows with a free surface and an experimental work are introduced in this paper. The forced heaving motion of cylinders with arbitrary shapes in water of finite depth are Considered here. The Fredholm integral equation of the first kind is employed in determining strengths of singularities distributed on the body surface. And the results obtained by the present method for the case of a heaving circular cylinder on water of finite depth agree well with existing results of earlier investigators.

• 대한조선학회지
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• 제14권3호
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• pp.13-22
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• 1977

The hydrodynamic forces acting on a forced oscillating 2-dimensional cylinder on a free surface of a fluid of a finite depth are calculated by distributing singularities on the immersed body surface. And the Haskind-Newman relation in a fluid of a finite depth is derived. The wave exciting force of the cylinder to an oscillation is also calculated by using the above relation. The method is applied to a circular cylinder swaying in a water of finite depth, and then, to a rectangular cylinder heaving, swaying, and rolling. The results of above cases give a good agreement with those by earlier investigators such as Bai, Keil, and Yeung. Also, this method is applied to a Lewis form cylinder with a half beam-to-draft ratio of 1.0 and a sectional area coefficient of 0.941, and to a bulbous section cylinder which is hard to represent by a mapping function. The results reveal that the hydrodynamic forces in heave increase as the depth of a water decrease, but in sway or roll, the tendency of the hydrodynamic forces is difficult to say in a few words. The exciting force to heave for a bulbous section cylinder becomes zero at two frequencies. The added mass moment of inertia for roll is seemed to mainly depend on the sectional shape than the water depth.

• 한국전자파학회논문지
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• 제16권12호
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• pp.1246-1254
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• 2005

등방성 상반 매질과 수직 단축성 하반 매질의 경계면에서 $VV{\cdot}HV{\cdot}VH$ 문제에 대해, 임펄스 점전류원에 의해 발생하는 전자장을 이론적으로 고찰한다. 이들 문제에서의 전기장은 Fourier-Laplace 영역의 이상파 성분과만 관련이 있다. 각각의 문제에 대해서 Cagniard-de Hoop 해석법을 응용하여 시간 영역의 전자장 해를 얻는다. VV 문제의 전자장은 적분이 포함되지 않은 명시적인 형태로 구할 수 있다. $HV{\cdot}VH$ 문제의 해에서는 적분을 없앨 수 없지만, 적분해에 내재 된 주요 특이 성분들은 해석적으로 추출된다. 주파수 영역의 계면 원방 전자장은 시간영역의 특이 성분에 의해 결정된다.

• 한국전산유체공학회지
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• 제6권2호
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• pp.1-8
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• 2001

Despite the massive effort which has been given to the analysis of the base flows, one commonly occurring case seems to be overlooked. This is for base (rearward facing surface) which is between a subsonic flow and supersonic flow. Potential flows of the air and gas streams are computed for the flow past a separated wake. Then a viscous jet mixing is superimposed on this inviscid solution. Conservation of mass, momentum and energy is achieved by multiple iterations. Despite the iterations, the wake flow field is computed with modest computer requirements.

• International Journal of Aeronautical and Space Sciences
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• 제3권2호
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• pp.82-87
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• 2002

Aerodynamic analysis of NACA wings moving with a constant speed over guideways are performed using an indirect boundary element method (potential-based panel method). An integral equation is obtained by applying Green's theorem on all surfaces of the fluid domain. The surfaces over the wing and the guideways are discretized as rectangular panel elements. Constant strength singularities are distributed over the panel elements. The viscous shear layer behind the wing is represented by constant strength dipoles. The unknown strengths of potentials are determined by inverting the aerodynamic influence coefficient matrices constructed by using the no penetration conditions on the surfaces and the Kutta condition at the trailing edge of the wing. The aerodynamic characteristics for the wings flying over nonplanar ground surfaces are investigated for several ground heights.

• International Journal of Naval Architecture and Ocean Engineering
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• 제4권2호
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• pp.162-171
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• 2012

A method of hydrodynamic discrete sources is applied for two-dimensional modeling of stepped planing surfaces. The water surface deformations, wetted hull lengths, and pressure distribution are calculated at given hull attitude and Froude number. Pressurized air cavities that improve hydrodynamic performance can also be modeled with the current method. Presented results include validation examples, parametric calculations of a single-step hull, effect of trim tabs, and performance of an infinite series of periodic stepped surfaces. It is shown that transverse steps can lead to higher lift-drag ratio, although at reduced lift capability, in comparison with a stepless hull. Performance of a multi-step configuration is sensitive to the wave pattern between hulls, which depends on Froude number and relative hull spacing.

• 대한조선학회지
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• 제26권4호
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• pp.27-34
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• 1989

부분 캐비티가 발생한 2차원 수중익 문제를 해결하기 위하여 포텐시얼을 기저로 한 양력판 이론이 정식화 되었다. 본 이론은 수중익 표면에 다이폴과 쏘오스를 분포함으로써 각각 양력 및 캐비티 문제를 표현하고 있다. 날개표면의 접수부에서의 운동학적 경계조건은 날개의 내부유동에서의 전체 포텐시얼이 영이 된다는 대등한 조건으로 만족되었다. 캐비티 표면에서의 역학적 경계조건은 압력이 일정하다는 즉 속도가 일정하다는 조건을 거쳐 포텐시얼이 선형적으로 변한다는 조건으로 대치되었으며, 운동학적 조건은 특이함수의 세기가 결정된 후에 적분에 의하여 캐비티의 형상을 구하는데에 사용되었다. 따라서 Green 정리를 사용하면, 속도를 기저로 하는 통상적인 정식화가 아닌, 포텐시얼을 기저로 한 경계치 문제가 완성된다. 또한 수중익의 정확한 표면에 특이함수를 분포함으로써, 날개두께가 영인 수중익 신경 이론에 비하여, 날개표면에서의 압력분포의 정도를(특히 날개 앞날부근에서) 향상시켰다. 본 이론에서는 캐비티 길이를 가정하고 이에 대응하는 캐비티의 모양과 캐비테이션수를 계산하였다. 계산정도의 향상을 위하여 약 5회정도의 반복계산이 필요하지만 공학적 목적을 위해서는 2회의 반복계산이 충분함을 보였다.

• 대한조선학회지
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• 제27권4호
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• pp.15-26
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• 1990

본 연구는 표면 양력관 이론을 이용하여 초월 공동이 발생한 2차원 날개의 유동해석을 위한 제반 경계 조건을 검증하고 공동 뒷부분의 모형을 비교 검토한다. 해석해가 존재하는 2차원 대칭 스트럿 주위의 초월 공동 현상을 수치적으로 해석하여 그 결과를 해석해와 비교함으로써 표면 양력판 이론에 의한 프로펠러 공동 문제 해석의 가능성을 입증하였다. 특히, 공동 뒷부분의 비 선형 닫힘 모형, 타원형 닫힘 모형, 그리고 선형 닫힘 조건을 서로 비교 분석함으로써 공동 문제 해결에서 가장 중요한 공동 닫힘 조건의 영향을 보였다.

• 대한수학회지
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• 제47권5호
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• pp.967-983
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• 2010

Let M be an n-dimensional complete simply connected Riemannian manifold with sectional curvature bounded above by a nonpositive constant $-{\kappa}^2$. Using the cone total curvature TC($\Gamma$) of a graph $\Gamma$ which was introduced by Gulliver and Yamada [8], we prove that the density at any point of a soap film-like surface $\Sigma$ spanning a graph $\Gamma\;\subset\;M$ is less than or equal to $\frac{1}{2\pi}\{TC(\Gamma)-{\kappa}^2Area(p{\times}\Gamma)\}$. From this density estimate we obtain the regularity theorems for soap film-like surfaces spanning graphs with small total curvature. In particular, when n = 3, this density estimate implies that if $TC(\Gamma)$ < $3.649{\pi}\;+\;{\kappa}^2\inf\limits_{p{\in}F}Area(p{\times}{\Gamma})$, then the only possible singularities of a piecewise smooth (M, 0, $\delta$)-minimizing set $\Sigma$ are the Y-singularity cone. In a manifold with sectional curvature bounded above by $b^2$ and diameter bounded by $\pi$/b, we obtain similar results for any soap film-like surfaces spanning a graph with the corresponding bound on cone total curvature.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 2004년도 ICCAS
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• pp.869-874
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• 2004

The inverse kinematics of five-axis milling machines produce large errors near stationary points of the required surface. When the tool travels cross or around the point the rotation angles may jump considerably leading to unexpected deviations from the prescribed trajectories. We propose three new algorithms to repair the trajectories by adjusting the rotation angles in such a way that the kinematics error is minimized. Given the tool orientations and the inverse kinematics of the machine, we first eliminate the jumping angles exceeding ${\pi}$ by using the angle adjustment algorithm, leaving the jumps less than ${\pi}$ to be further optimized. Next, we propose to apply an angle switching algorithm to compute the rotations and identify an optimized sequence of rotations by the shortest path scheme. Further error reduction is accomplished by the angle insertion algorithm based an o special interpolation to obtain the required rotations near the singularity. We have verified the algorithms by five-axis milling machines, namely, MAHO600E at the CIM Lab of Asian Institute of Technology and HERMLE UWF902H at the CIM Lab of Kasetsart University.