• Journal of applied mathematics & informatics
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• 제36권1_2호
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• pp.135-154
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• 2018

In this paper, an almost second order overlapping Schwarz method for singularly perturbed third order convection-diffusion type problem is constructed. The method splits the original domain into two overlapping subdomains. A hybrid difference scheme is proposed in which on the boundary layer region we use the combination of classical finite difference scheme and central finite difference scheme on a uniform mesh while on the non-layer region we use the midpoint difference scheme on a uniform mesh. It is shown that the numerical approximations which converge in the maximum norm to the exact solution. We proved that, when appropriate subdomains are used, the method produces convergence of second order. Furthermore, it is shown that, two iterations are sufficient to achieve the expected accuracy. Numerical examples are presented to support the theoretical results. The main advantages of this method used with the proposed scheme are it reduce iteration counts very much and easily identifies in which iteration the Schwarz iterate terminates.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2007년도 추계학술대회논문집
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• pp.340-343
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• 2007

The differential equations governing free, in-plane vibrations of non-circular arches with the translational (radial and tangential directions) and rotational springs at the ends, including the effects of rotatory inertia, shear deformation and axial deformation, are solved numerically using the corresponding boundary conditions. The lowest four natural frequencies for the parabolic geometry are calculated over a range of non-dimensional system parameters: the arch rise to span length ratio, the slenderness ratio, and the translational and rotational spring parameters.

• 한국강구조학회 논문집
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• 제10권4호통권37호
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• pp.667-676
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• 1998

본 연구에서는 부분지지되어 있고 사각형의 개구부를 갖는 적층복합판의 과도해석을 유한요소법을 이용하여 연구하였다. 수학적 지배방정식은 변분과 일차전단변형이론을 고려하여 유도하였고 적층판의 폭-두께비, 재료의 특성, 적층각도, 지지조건이 중앙점의 동적응답에 미치는 영향에 대하여 연구하였다. 수치적인 결과는 그래프와 표로 나타내었으며 참고문헌의 결과와 비교 분석하였다.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2006년도 추계학술대회논문집
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• pp.815-818
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• 2006

This paper deals with the free, in-plane vibrations of curved members with the translational(radial and tangential directions) and rotational springs at the ends. The governing differential equations for the circular curved member are solved numerically using the corresponding boundary conditions. The lowest three natural frequencies and the corresponding mode shapes are obtained over a range of non-dimensional system parameters: the subtended angle, the slenderness ratio, the translational spring stiffness, and the rotational spring stiffness.

• 신재생에너지
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• 제3권1호
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• pp.20-26
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• 2007

A low-resolution national wind map, which is a prerequisite for setting up the national dissemination target and strategy of wind energy development, has been established by numerical wind simulation using the synoptic wind map, developed at the first stage, as an upper boundary condition. Based on the wind map, Wind Resource Information System has been composed in order to support scientific and systematic wind resource assessment and analysis.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2007년도 춘계학술대회논문집
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• pp.1181-1184
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• 2007

이 논문에서는 단부가 힌지와 회전스프링으로 지지된 원호 아치의 면내 자유진동에 대한 지배 미분방정식을 수치해석하여 대상 구조에 대한 최저차 4개의 고유진동수 및 진동형을 산출하였다. 축변형, 회전관성 및 전단변형 효과를 고려한 지배방정식을 채택하였으며, 해석결과로서 아치 중심각, 세장비 및 단부의 회전스프링상수 변화에 따른 고유진동수 및 진동형의 변화를 고찰하였다.

• 방송공학회논문지
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• 제9권2호
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• pp.110-118
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• 2004

This paper shows that blind deconvolution has only finite solutions when an original image and a point spread function are nonzero over a restricted domain, in other words, an observed image has a compact support. The key of the proof is to use z-transformations and factorizations of polynomials. Then, we propose an algorithm to find all finite solutions under the boundary condition. Finally, we confirm that we can extract all sets of an original image and a point spread function from a degraded image by using our algorithm in numerical examples.

• Structural Engineering and Mechanics
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• 제28권2호
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• pp.221-238
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• 2008

Numerical solution to buckling analysis of beams and columns are obtained by the method of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for various support conditions considering the variation of flexural rigidity. The solution technique is applied to find the buckling load of fully or partially embedded columns such as piles. A simple semi- inverse method of DQ or HDQ is proposed for determining the flexural rigidities at various sections of non-prismatic column ( pile) partially and fully embedded given the buckling load, buckled shape and sub-grade reaction of the soil. The obtained results are compared with the existing solutions available from other numerical methods and analytical results. In addition, this paper also uses a recently developed technique, known as the differential transformation (DT) to determine the critical buckling load of fully or partially supported heavy prismatic piles as well as fully supported non-prismatic piles. In solving the problem, governing differential equation is converted to algebraic equations using differential transformation methods (DT) which must be solved together with applied boundary conditions. The symbolic programming package, Mathematica is ideally suitable to solve such recursive equations by considering fairly large number of terms.

• 유통과학연구
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• 제5권1호
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• pp.75-88
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• 2007

본 연구는 유통학문분야의 연구방법론에 대한 단초를 제공하기 위함에 본 연구가 시작된 것이다. 더 나아가서 유통학문의 정립을 확고히 할 수 있는 촉진제가 되고자 한다. 이를 통하여 국내 유통산업의 발전과 더불어 유통학문의 발전을 기대한다. 더욱이 본 연구가 일부 유통연구자들이 연구방법론의 문제점을 지적하고 활발한 논의와 접근을 시도하고 있는 점을 감안하여 고무적이라고 판단하고 있다. 따라서 본 연구 이후에 지속적으로 폭과 깊이를 더하여 연구가 확산되어지기를 여망해 본다.

• 로봇학회논문지
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• 제6권1호
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• pp.86-96
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• 2011

The human-following is one of the significant procedure in human-friendly navigation of mobile robots. There are many approaches of human-following technology. Many approaches have adopted various multiple sensors such as vision system and Laser Range Finder (LRF). In this paper, we propose detection and tracking approaches for human legs by the use of a single LRF. We extract four simple attributes of human legs. To define the boundary of extracted attributes mathematically, we used a Support Vector Data Description (SVDD) scheme. We establish an efficient leg-tracking scheme by exploiting a human walking model to achieve robust tracking under occlusions. The proposed approaches were successfully verified through various experiments.