• 설비공학논문집
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• 제20권8호
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• pp.534-540
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• 2008

In this paper, the optimal bang-bang control problem of an air-conditioning system with slab thermal storage was formulated by gradient method. Furthermore, the numeric solution obtained by gradient method algorithm was compared with the analytic solution obtained on the basis of maximum principle. The control variable is changed uncontinuously at the start time of thermal storage operation in an analytic solution. On the other hand, it is showed as a continuous solution in a numeric solution. The numeric solution reproduces the analytic solution when a tolerance for convergence is applied severely. It is conceivable that gradient method is effective in the analysis of the optimal bang-bang control of the large-scale system like an air-conditioning system with slab thermal storage.

• 한국해안해양공학회지
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• 제18권4호
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• pp.308-320
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• 2006

축대칭 함몰지형 위를 진행하는 파에 관한 완경사 방정식의 해석 해를 유도하였다. 함몰지형 내부에서의 수심은 함몰지형 중심으로부터의 거리의 덕에 비례하여 변한다. 변수 분리법을 사용하여 지배 방정식을 상미분 방정식으로 전환하였으며, Hunt(1979)의 근사식을 사용하여 방정식의 계수들을 양함수의 형태로 변환하였다. 마지막으로 Frobenius 급수를 사용하여 해석 해를 유도하였다. Hunt 근사식의 특성 상 본 연구에서 유도된 해석 해는 천해와 심해에서는 정확하고 중간수심에서는 덜 정확하다. 해석 해의 타당성을 검토하기 위하여 수치 모델 결과와 비교하였다. 또한 해석 해를 이용하여 함몰지형의 형상과 상대수심 등을 변화시키면서 다양한 조건에 대한 파랑 변형을 검토하였다.

• 한국콘텐츠학회논문지
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• 제12권3호
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• pp.434-441
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• 2012

축대칭 함몰지형 위를 통과하는 파의 변형에 관한 확장형 완경사 방정식의 해석해를 유도하였다. 함몰지형내의 수심은 함몰지형의 중심으로부터의 거리의 멱에 비례하여 변화된다. 지배방정식은 변수분리법을 이용하여 상미분방정식으로 변환되었으며 Hunt(1979)의 근사식을 이용하여 계수들을 파속과 군속도의 항으로 이뤄진 양함수의 형태로 나타냈다. 확장형 완경사 방정식의 바닥의 곡률과 경사의 제곱으로 이뤄진 항은 멱급수형태로 변환하였다. 마지막으로 Frobenius 급수를 사용하여 확장형 완경사 방정식의 해석해를 유도하였다. 유도된 해석해는 FEM으로 도출된 수치해와 기존의 완경사 방정식의 해석해와 비교하여 검증하였다.

• Structural Engineering and Mechanics
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• 제58권4호
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• pp.641-659
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• 2016

This paper deals with the pure bending of incompressible elastic perfectly plastic two-layer sheets under plane strain conditions at large strains. Each layer is classified by its yield stress, shear modulus of elasticity and its initial percentage thickness in relation to the whole sheet. The solution found is semi-analytic. In particular, a numerical technique is only necessary to solve transcendental equations. The general solution is cumbersome because different analytic expressions for the radial and circumferential stresses should be adopted in different regions of the whole sheet. In particular, there are several alternative ways a plastic region (or plastic regions) can propagate. However, for any given set of material and process parameters the solution to the problem consists of a sequence of rather simple analytic expressions connected by transcendental equations. The general solution is illustrated by a simple example.

• 한국멀티미디어학회논문지
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• 제20권7호
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• pp.1024-1029
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• 2017

A novel analytic solution has been derived for the bird-cage receiver coil of a magnetic resonance imaging (MRI) system, which is widely used in 3-dimensional medical imaging, by transforming the coil into an equivalent circuit model by using a transmission matrix-based circuit analysis. The bird-cage coil composed of N legs is divided into a cell for which input impedance is to be analyzed and the remaining N-1 cells, and then a transmission matrix corresponding to the N-1 cells is converted into a circuit to transform the 3-dimensional bird-cage coil into the 2-dimensional equivalent circuit model, which is suitable to derive the analytic solution for the input impedance. The proposed method derives directly the analytic solution for the input impedance at an arbitrary point of the coil unlike the conventional analytic solution of a bird-cage coil, so that it can be used not only for resonance frequency calculations but also for various coil characteristics analyses. Since the analytic solution agreed well with the results of computational simulations, it can be useful for the impedance matching of a coil and the analysis and the design of a multi-tune bird-cage coil.

• 제어로봇시스템학회논문지
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• 제9권7호
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• pp.563-568
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• 2003

In this paper, We propose a target tracking filter which utilizes the PDA for data association in a clutter environment and also propose an analytic solution for ideal filter covariance which accounts for all the possible events in the PDA. Monte Carlo simulation for the proposed filter in a clutter environment indicates that the proposed analytic solution forms the true error covariance of the PDA Filter.

• 대한안전경영과학회:학술대회논문집
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• 대한안전경영과학회 2008년도 춘계학술대회
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• pp.345-360
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• 2008

The analytic hierarchy process is known as a useful tool for the group decision making methods. This tool has been area such as investment, R&D management, manufacturing, production and marketing. Typically, transportation problems have addressed by mathematical programming. In this paper, an optimal solution of transportation problem was determined by the analytic hierarchy process.

• 대한기계학회논문집A
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• 제25권12호
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• pp.2040-2047
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• 2001

In this paper, a singularity problem of the state transition matrix is investigated in the spatial propagation when the spatial matrix differential equation is constructed via time finite element analysis. A parametric study shows that the degree of singularity of the state transition matrix depends on the degree of flexibility of the structures. As an alternative to avoid the numerical problems due to the singularity, an analytic solution fur spatial propagation of the flexible structures is proposed. In the proposed method, the spatial properties of the structure are analytically expressed by a combination of transcendental functions. The analytic solution serves fast and accurate results by eliminating the possibility of the error accumulation caused by the boundary condition. Several numerical examples are shown to validate the effectiveness of the proposed methods.

• 대한전기학회논문지:전기물성ㆍ응용부문C
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• 제54권7호
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• pp.326-331
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• 2005

We obtain analytical expressions the magnetic field of ferrites for DC magnetron sputtering device, which has been widely used for vacuum thin film deposition, and suggested the equation on maximum radius of the magnetic field by analytic solution. Also, the analytic results are compared with some calculations using magnetization elements of right-angled hexahedron.

• 한국대기환경학회지
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• 제21권5호
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• pp.547-555
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• 2005

In this study, an analytical expression for aerosol mass transfer at spherical collector in the low Knudsen number region was obtained. Happel's zero shear stress cell model was extended in the low Knudsen number region and the result was compared with numerical solution results. The zero vorticity model based on the Kuwabara's cell model was also extended in the low Knudsen number region and compared with Happel's results. The results showed that both analytic and numerical solution agree very well with each other in low Knudsen number region. Happel's zero shear stress model also agrees with Kuwabara's zero vorticity model without significant loss of accuracy. The obtained solution converges to the original solution of Lee et al. (1999) when Knudsen number approaches to zero. Subsequently, this study derived most general type of analytic solution for aerosol mass transfer of spherical collector including the finite Knudsen number region.