• Journal of the Korea Academia-Industrial cooperation Society
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• v.12 no.3
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• pp.1439-1443
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• 2011

A theoretical study on the ground water flow adjacent to buried pipe was conducted. Incompressible and irrotational flow were considered in analytical study. Ground water flow were defined by complex potentials. Firstly, uniform flow without buried pipe was analysed and then the effect of buried pipe was considered by superposition via circle theorem. Although two kinds of flow can be added by linearity of complex potentials, investigation of the singularities of the complex potentials should be done in advance. Finally, ground water flow past a buried pipe was analysed via complex potentials and net force exerted on the buried pipe by the ground water flowing past with circulation was derived.

• Communications of the Korean Mathematical Society
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• v.15 no.3
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• pp.391-434
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• 2000

심플렉틱 구조는 국소적으로는 모두 같기 때문에 심플렉틱 다양체 연구는 대역적으로 연구해야한다. 그로모브가 복소해석학적 곡선을 원소를 하는 모률라이 공간의 연구가 심플렉틱 다양체를 연구하는 물고를 텃다. 특이점이 없는 복소곡선의 개수를 세는 그로모브 불변량은 도넬슨의 비선형 게이지 이론의 간략화라 할 수 있는 아벨리안게이지 이론에서 사이버그-위튼 불변량과 같음을 타우브스가 발견하였다. 또한 사이버그-위튼 불변량은 심플렉틱 다양체의 불변량으로 심플렉틱 구조연구에 큰 이바지하고 있다. 그로모브의 모듈라이 공간의 컴펙트하는 과정에서 자연스럽게 마크점과 특이점을 갖는 곡선의 그로모브-위튼 모듈라이 공간이 켐펙트가 되고 여기소 그로모브-위튼 불변량이 얻어진다. 이 그로모브-위튼 불변량은 대수기하와 이론 물리학의 끈이론에서 찾는 대수곡선의 개수를 나타내고, 코호몰로지의 컵곱의 일반화라 할 수 있는 퀸텀곱을 유도하고, 그로모브-위튼 포텐셜함수의 계수를 결정한다. 퀸텀곱의 결합법칙은 포텐셜함수의 WDVV-방정식과 동치를 나타나며 이는 프로베니우스 구조가 평탄함을 나타낸다. 그로모브-위튼 불변량은 앞으로 활발히 연구되고 수학에 광범하게 이바지 할 것이다.

• Journal of the Society of Naval Architects of Korea
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• v.30 no.2
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• pp.86-97
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• 1993

A numerical method is developed for the nonlinear motion of two-dimensional wedges and axisymmetric-forced-heaving motion using Semi-Largrangian scheme under assumption of potential flows. In two-dimensional-problem Cauchy's integral theorem is applied to calculate the complex potential and its time derivative along boundary. In three-dimensional-problem Rankine ring sources are used in a Green's theorem boundary integral formulation to salve the field equation. The solution is stepped forward numerically in time by integrating the exact kinematic and dynamic free-surface boundary condition. Numerical computations are made for the entry of a wedge with a constant velocity and for the forced harmonic heaving motion from rest. The problem of the entry of wedge compared with the calculated results of Champan[4] and Kim[11]. By Fourier transform of forces in time domain, added mass coefficient, damping coefficient, second harmonic forces are obtained and compared with Yamashita's experiment[5].

• Transactions of the Korean Society of Mechanical Engineers
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• v.17 no.5
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• pp.1218-1226
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• 1993

A method, so called 'successive cracking method,' for measuring residual stresses in a circular disk is proposed. In this method residual stresses are evaluated using a fracture mechanics approach, that is, the strains measured at a point on a edge of the disk as a crack is introduced and extended from the edge are used to deduce the residual stress distribution which existed in the uncracked disk. Through finite element analysis and comparative experiments with generally used sectioning method, the successive cracking method is shown to be valid, simple and effective to measure 2-dimensional residual stress distribution in a circular disk.

• Transactions of the Korean Society of Mechanical Engineers
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• v.16 no.6
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• pp.1216-1220
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• 1992

In case that a general cusp-crack shaped inclusion expressed in a polynominal form of conformal mapping function exists in a two dimensional elastic body under uniform heat flow, the complex potential and thermal stress intensity factors are derived. Two thermal boundary conditions are considered, one an insulated rigid inclusion and the other a rigid inclusion with fixed boundary temperature. The previous solutions of the thermal stress intensity factors for symmetrical airfoil and lip type rigid inclusions are obtained from the general solution of the thermal stress intensity factors.

• Transactions of the Korean Society of Mechanical Engineers
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• v.15 no.5
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• pp.1530-1537
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• 1991

본 연구에서는 반무한 직선 계면균열의 상하면에 임의로 분포하는 어떠한 하 중에 대해서도 그 해석이 가능한 그린함수(Green's function)를 구하고자 한다. 이 를 위하여 반무한 직선 계면균열상의 임의의 한 점에 평면 집중하중이 작용하는 문제 와 비평면 집중전단하중이 작용하는 문제를 각각 택하였고, 이때 계면균열의 선단은 열려있다고 가정하였다. 이 문제를 풀므로써 균열선단부근의 응력성분을 결정하고 이로부터 그린함수의 의미를 지니는 응력강도계수에 대한 폐형해를 얻었다.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.6 no.3
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• pp.275-280
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• 1994

The analytic solution of the forces acting on a horizontal circular cylinder affected by the bottom boundary is re-derived using the complex potential. The reason of the re-derivation of the analytic solution is such that it is found that the analytic solution of Yamamoto et al. (1974) does not simulate the behavior of the added mass coefficient accurately. The re-derived formula of the added mass coefficient CD is different from that of Yamamoto et al (1974), while the re-derived formula of Cm simulates the tendency of the behavior of the added mass coefficient success-fully.

• Transactions of the Korean Society of Mechanical Engineers
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• v.18 no.1
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• pp.121-126
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• 1994

A mutual integral, which has the conservation property, is applied to the problem of a crack in an isotropic elastic material. The stress intensity factors $K_{I}, K_{II}, K_{III}$ and T-stress for the problem in an infinite medium are easily obtained by using the mutual integral without solving the boundary value problem. The auxiliary solutions necessary in the proposed method are taken from the known asymptotic solutions. This method is amenable to numerical evaluation of the stress intensity factors and T-stress if the crack in a finite medium is considered.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.36 no.1A
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• pp.35-40
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• 2011

The complex-valued blind algorithm based on a set of randomly generated symbols and Euclidean distance can take advantage of information theoretic learning and cope with the channel phase rotation problems. On the algorithm, in this paper, the effect of kernel size has been studied and a kernel-modified version of the algorithm that rearranges the forces between the information potentials by kernel-modification has been proposed. In simulation results for 16 QAM and complex-channel models, the proposed algorithm show significantly enhanced performance of symbol-point concentration and no phase rotation problems caused by the complex channel models.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.11 no.12
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• pp.5036-5041
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• 2010

This paper introduces the complex-version of an Euclidean distance minimization algorithm based on a set of delta functions. The algorithm is analyzed to be able to compensate inherently the channel phase distortion caused by inferior complex channels. Also this algorithm has a relatively small size of Gaussian kernel compared to the conventional method of using a randomly generated symbol set. This characteristic implies that the information potential between desired symbol and output is higher so that the algorithm forces output more strongly to gather close to the desired symbol. Based on 16 QAM system and phase distorted complex-channel models, mean squared error (MSE) performance and concentration performance of output symbol points are evaluated. Simulation results show that the algorithm compensates channel phase distortion effectively in constellation performance and about 5 dB enhancement in steady state MSE performance.