• Proceedings of the Korean Society of Precision Engineering Conference
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• 2002.10a
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• pp.667-670
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• 2002

Uniform metal-droplet deposition using laser is analyzed. Using the variation principle and modeling the semi-solid phase as a non-Netwonian slurry, this model can greatly save the computational expenses that conventional numerical procedures have suffered from. The simulation results revealed that the developed model could reasonably describe the collision behavior of molten metal with solid surface. Simulations were made with variation of the falling distance and time.

• Transactions of the Korean Society of Mechanical Engineers
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• v.14 no.4
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• pp.907-911
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• 1990

본 연구에서는 비열이 일정하고 초기온도가 주어진 열원으로부터, 일정한 열 전달 용량의 열교환기를 사용하여 최대의 에너지를 전달시키기 위한 조건을 구해 보기 로 한다. 즉, 저온유동은 고온의 열원유동과 대항류로서 열교환하며 위치에 따라 저 온유체의 온도가 가역 단열압축 또는 팽창에 의하여 임의로 조절될 수 있는 일반적인 경우에 대하여, 저온유체가 최대의 가용 에너지를 흡수하기 위한 온도분포를 변분법 문제로서 해석하고 그에 다른 부수조건들을 검토하고자 한다.

• The KIPS Transactions:PartA
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• v.13A no.5 s.102
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• pp.429-434
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• 2006

A CCTV system reduces some number of cameras if we use convex-mirror. In this case, convex-mirror Image distorted, we need transformation to flat images. In the center of mirror images, a transformed image has no distortion, but at near boundary image has plentiful distortion. This distortion is caused by occlusion of angled ray and diffraction. We know that the linear filtering approach cannot separate noise from signal where their Fourier spectra overlap. But using a non-linear discretization method, we shall reduce blurred noise. In this paper, we introduce the backward solution of nonlinear wave equation for reducing blurred noise and biased expansion of equilibrium contour. We propose, after applying the introduced method, and calculate with discretization method. To analysis the experimental result, we investigate to PSNR and get about 4dB better than current method.

• Transactions of the Korean Society of Automotive Engineers
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• v.17 no.4
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• pp.108-117
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• 2009

Leissa claimed in his article that the Rayleigh method is not the same as the Ritz method for determining natural frequencies and its corresponding mode shapes and contended that Rayleigh's name should not be attached to the method. The present article examines the methods in viewpoint of admissible functions and its minimization process, and of the historical developments. It concludes that Leissa's assertion is relevant, although Rayleigh did apply a conceptual theory systematized from the Lagrange method, and given 38 years earlier than Ritz's 'masterly exposition of theory'.

• Computational Structural Engineering
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• v.7 no.3
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• pp.16-23
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• 1994

본 고에서는 형상최적설계에 대한 기초이론이 소개되었다. 재료도함수와 변분법 및 보조변수법에 기초한 형상설계민감도해석 절차는 까다로우며 함수론 등 많은 수학적인 배경을 필요로 한다. 설계민감도가 구해지면 이 정보를 필요로 하는 최적화 알고리즘을 사용하여 형상에 대한 최적해를 구할 수 있으며 그 과정은 재래식 최적설계시와 같다. 구조물 형상최적설게에 있어 형상(영역)변화의 효과는 대부분 경계에서 수직이동의 형태로 나타난다. 따라서 경계면에서 변위나 응력값 등에 대한 정확한 수치해는 성공적인 형상최적화의 중요한 관건이 된다. 따라서 구조해석을 위한 정확한 유한요소해석방법과 형상함수 그리고 경계를 나타내는 적절한 함수들을 지속적으로 개선할 필요가 있다. 반복설계과정 중에서 영역과 경계가 계속 바뀌므로 설계민감도 수치해의 정확도를 높이기 위해 경계요소법과 유한요소법에 기초를 둔 영역법 등을 사용하기도 한다.

• Journal of Korean Port Research
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• v.7 no.1
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• pp.79-88
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• 1993

This study deals with the case of a fixed floating structure(FFS) at the mouth of a rectangular harbor under the action of waves represented by the linear wave theory. Modified forms of the mild-slope equation is applied to the propagation of regular wave over constant water depth. The model is extended to include bottom friction and boundary absorption. A hybrid element approximation is used for calculation of linear wave oscillation in and near coastal harbor. Modification of the model was necessary for the FFS. For the conditions tested, the results of laboratory experiments by Ippen and Goda(1963), and Lee (1969) are compared with the calculated one from this model. The cases of flat cylinderical structures, both fixed and floating, were taken to be in an intermediate water depth.

• Journal of the KSME
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• v.23 no.3
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• pp.200-206
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• 1983

FAM의 기본적인 구상은 해석 하고자하는 선형 또는 비선형 편미분 방정식을 국부적으로 해석 적인 해를 구하여 이용하자는 것이다. 그러기 위하여 유한차분법(FDM)과 유한변분법(FEM)에 서와 같이 전체유동장을 작은 요소로 나누고 그 요소 내에서 국부해를 구한 다음 이들 요소를 중첩시킴으로써 각 요소의 미지수에 대한 대수식을 얻어서 수치해를 구하자는 것이다. 그러나 FDM에서와 같이 국부요소에서 미분항을 구하지 않고, FEM 에서와 같이 요소에서 형상함수를 도입하지 않는 상태에서 해석적인 해를 구하고 있기 때문에 수치해석에서 얻어지는 미분양들은 비교적 정확하게 구해진다. 따라서 Navier-Stokes 방정식이나 에너지 방정식에서 최고차항이 작은 파라메타, 즉 레이놀즈수나 피크리수의 역수로 곱하여서 있는 경우에도 안정된 해를 구할 수 있다고 알려져 있다. 요소자체의 계수를 구하는 데는 계산시간이 많이 소요되지만 수치해석 상의 안정성이나 수렴성이 좋기 때문에 전체계산시간은 오히려 적게 걸리는 경우도 있다고 한다.

• Journal for History of Mathematics
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• v.31 no.1
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• pp.37-51
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• 2018

In this paper, our main concern is the historical development of the Finsler geometry in Debrecen, Hungary initiated by L. Berwald. First we look into the research trend in Berwald's days affected by the $G{\ddot{o}}ttingen$ mathematicians from C. Gauss and downward. Then we study how he was motivated to concentrate on the then completely new research area, Finsler geometry. Finally we examine the course of establishing Hungarian Debrecen school of Finsler geometry via the scholars including O. Varga, A. $Rapcs{\acute{a}}k$, L. $Tam{\acute{a}}ssy$ all deeply affected by Berwald after his settlement in Debrecen, Hungary.

• Transactions of the Korean Society of Mechanical Engineers
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• v.18 no.12
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• pp.3109-3117
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• 1994

To operate a flexible mechanism in high speed its weight must be reduced as far as the structural strength does not decrease too much, but a light-weighted mechanism causes undesirable elastodynamic responses deteriorating the system performance. Besides, clearance within the connections of mechanisms causes rapid wear, increased noise and vibration. Even if the problems described above must be considered in the initial design stage, there has been no effective design process which takes account of the correlation between dynamic characteristics of flexible mechanism and the clearance effect at the joint. In this study, the generalized elastodynamic governing equations which include dynamic characteristics and boundary conditions of flexible mechanism are derived by variational calculus and solved by using FFM theory. To take the clearance effect at joint into account a new dynamic model is presented and also the method of modified stiffness/damping matrix is proposed to activate the dynamic clearance model, which cooperates with the developed governing equation very easily. As the results of this study, the proposed method(modified stiffness/damping matrix) to calculate clearance effect was proved to be superior to the existing one(force reaction method) in solution convergency and calculation performance. Besides this method can be easily adopted to the complex shape joint without calculation of reaction force direction.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.12 no.10
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• pp.4642-4647
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• 2011

Solution for elastic foundation of plane strain state was derived by the application of variational method. Functions of the transverse distribution of the displacements for the analysis were chosen as linear functions. Loading conditions considered for the analysis were concentrated load and distributed load. Under the loading condition of the concentrated load, surface displacement was decreased drastically as the distance from the point of the loading increased. Under the loading condition of the distributed load, surface displacements were more uniformly distributed beneath the loading area when the ratio of the half of the loading width to the depth(B/H) of the compressible layer was greater. The surface displacement was more quickly converged from the edge of the loading area as the ratio(B/H) increased.