• Journal of applied mathematics & informatics
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• 제15권1_2호
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• pp.265-275
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• 2004

In this paper, multi-objective models for designing 3D trajectory of horizontal wells are developed in a fuzzy environment. Here, the objectives of minimizing the length of the trajectory and the error of entry target point are fuzzy in nature. Some parameters, such as initial value, end value, lower bound and upper bound of the curvature radius, tool-face angle and the arc length of each curve section, are also assumed to be vague and imprecise. The impreciseness in the above objectives have been expressed by fuzzy linear membership functions and that in the above parameters by triangular fuzzy numbers. Models have been solved by the fuzzy non-linear programming method based on Zimmermann [1] and Lee and Li [2]. Models are applied to practical design of the horizontal wells. Numerical results illustrate the accuracy and efficiency of the fuzzy models.

• Bulletin of the Korean Chemical Society
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• 제21권4호
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• pp.412-418
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• 2000

Association of cytochrome c with anionic membranes involved both electrostatic and hydrophobic interactions and their relative contributions depended on the physical state of the membrane and the redox state of cyto-chromec.Hydrophobic interaction was favored by the membranes in gel phase, by the membranes with a large curvature, and by the membranes with a high surface charge density. Ferrocytochrome c was less dissociable by NaCl than ferricytochrome c suggesting that a lower protein stability is beneficial for hydrophobic interac-tion.Hydrophobic interaction induced larger structural perturbations on cytochrome c as monitored by the loss of the Fe-Met bond and by the increase in the distance between heme and Trp-59. When bound to anionic mem-branes,spin-labeled cytochrome c showed an electron paramagnetic resonance spectrum with two or more components, providing a direct evidence for multiple conformations of bound cytochrome c.

• 충청수학회지
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• 제23권2호
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• pp.197-206
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• 2010

We study the restriction estimate of Fourier transform to arbitrary convex curves in $R^2$ with no regularity assumption. Assuming that the convex curve has the lower bound of curvatures, we extend the restriction results from smooth convex curves to arbitrary convex curves. Our work has been motivated by the lecture notes of Terence Tao. The bilinear approach and geometric observations play an important role.

• Bulletin of the Korean Chemical Society
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• 제32권10호
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• pp.3702-3706
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• 2011

The conformation of a neuropeptide, substance P (SP), in isotropic (q = 0.5) acidic bicelles was investigated using two-dimensional NMR techniques. By the nuclear Overhauser effect (NOE) cross peaks between SP and long-chain lipid molecules SP was probed to bind on the flat surface of the disc-like bicelles. Structural analysis of NMR data indicated that the helical conformation of SP extended to the C-terminal region of Leu10 as well as in the mid-region from Pro4 to Phe8. As compared with the conformations of SP bound on the sodium dodecylsulfate (SDS) or the dodecylphosphocholine (DPC) micelles with curved surfaces, the surface curvature of the membrane mimics was found to be one of the major factors inducing the biologically relevant conformation of SP. The negative surface charge of the membrane is also a key factor inducing both the binding of SP on the membrane and its biologically active structure.

• 대한수학회보
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• 제53권6호
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• pp.1795-1804
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• 2016

Let $M^n$, $2{\leq}n{\leq}6$ be a complete noncompact hypersurface immersed in ${\mathbb{H}}^{n+1}$. We show that there exist two certain positive constants 0 < ${\delta}{\leq}1$, and ${\beta}$ depending only on ${\delta}$ and the first eigenvalue ${\lambda}_1(M)$ of Laplacian such that if M satisfies a (${\delta}$-SC) condition and ${\lambda}_1(M)$ has a lower bound then $H^1(L^2(M))=0$. Excepting these two conditions, there is no more additional condition on the curvature.

• International Journal of Fluid Machinery and Systems
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• 제1권1호
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• pp.24-32
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• 2008

Bleeding away a part of the boundary layer next to the wall is an effective method for controlling boundary-layer distortions from incident shock waves or curvature in geometry. When the boundary-layer flow is supersonic, the physics of bleeding with and without an incident shock wave is more complicated than just the removal of lower momentum fluid next to the wall. This paper reviews CFD studies of shock-wave/boundary-layer interactions on a flat plate with bleed into a plenum through a single hole, three holes in tandem, and four rows of staggered holes in which the simulation resolves not just the flow above the plate, but also the flow through each bleed hole and the plenum. The focus is on understanding the nature of the bleed process.

• 한국컴퓨터그래픽스학회논문지
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• 제25권3호
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• pp.93-103
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• 2019

3차원상의 자유곡면에 대한 효율적인 기하 연산을 지원하기 위한 새로운 공간자료구조로서 토러스 패치 기반 정밀 근사를 이용한 자유곡면의 기하학적 처리 기법을 소개한다. 토러스는 곡률이 양이나 음인 경우뿐만 아니라, 0인 부분도 있으므로 자유곡면의 볼록, 오목 여부에 상관없이 곡면을 정밀하게 근사할 수 있다. 전통적인 기법과 달리 토러스 패치는 자유곡면의 법벡터 방향까지 쉽게 모델링할 수 있고, 토러스의 오프셋은 다시 토러스가 되므로 다양한 기하 연산의 가속화를 지원할 수 있다. 자유곡면과 이를 근사하는 토러스 패치 집합 사이의 양방향 하우스도르프 거 리의 상한을 계산하여 토러스 패치를 이용하여 자유곡면을 높은 정밀도로 근사할 수 있음을 보였다. 이 기법을 이용하여 두 자유곡면의 교차곡선 계산과 자유곡면의 오프셋 곡면 생성을 쉽게 처리할 수 있음을 보였다.

• Structural Engineering and Mechanics
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• 제65권6호
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• pp.731-739
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• 2018

This paper presents an optimal pattern for distributing stiffness along a framed tube structure through an analytic equation, which may be used during the preliminary design stage. Most studies in this field are computationally intensive and time consuming, while a hand-calculation method, as presented here, is a more suitable tool for sensitivity analyses and parametric studies. Approach in development of the analytic model is to minimize the mean compliance (external work) for a given volume of material. A variational statement of the problem is made, and a specified deformation-profile is obtained as the necessary condition for a minimum; enforcing this condition, stiffness is then computed. Due to some near-zero values for stiffness, the problem is modified by considering a lower bound constraint. To deal with this constraint, the design domain is assumed to be divided into two zones of constant stiffness and constant curvature; and the problem is restated in terms of these concepts. It will be shown that this methodology allows for easy computation of stiffness through an analytic and dimensionless equation, valid in any system of units. To show practicality of the proposed method, a tubed-system structure with uniform stiffness distribution is redesigned using the proposed model. Comparative analyses of the results reveal that in addition to simplicity of the proposed method, it provides a rather high degree of accuracy for real-world problems.

• 한국통신학회논문지
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• 제19권5호
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• pp.857-871
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• 1994

본 논문에서는 스파이럴 암폭이 넓은 경우와 좁은 경우, 곡률이 큰 경우와 작은 경우에 대한 스파이럴 안테나를 모먼트법을 이용하여 해석하였다. 그 방법은 안테나를 N개 선소로 분할하고 갤러킨 방법을 이용하여 각 선소의 전류분포를 구하고, 방사패턴을 계산한 다음 이들을 실험 결과와 비교하였다. 안테나의 이득이 주파수에 따란 +_ 5dB 이내로 변화가 있는 것은 밸런과 안테나간의 접속에서 나타나는 반사손실에 의한 것이다. 시뮬레이션 및 실험결과를 통하여, 본 스파이럴 안테나의 광대역 무지향 특성을 확인하였다.

• 한국전산구조공학회논문집
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• 제15권3호
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• pp.399-407
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• 2002

속이 빈 축대칭 회전체인 두꺼운 쉘의 정확한 고유진동수와 모우드형상을 결정하기 위해서 3차원적인 해석방법이 사용되었다. 이 축대칭 회전쉘의 모선을 직선으로 한정하지 않았으며, 쉘의 두께 또한 일정한 것으로 제한하지 않았다. 이 쉘의 중앙면은 임의의 곡율을 가지며, 쉘의 두께도 임의적으로 변한다. 자오선방향, 두께방향, 원주방향으로의 변위 성분인$U_\Phi, U_z, U_\theta$는 시간반응의 정현성(sinusoidal)과$\theta$방향으로의 주기성을 지니며,$\Phi$와 z 방향으로는 대수다항 식의 형태로 가정되었다. 이 쉘의 변형률에너지와 운동에너지를 공식화하였으며, 진동수의 최소화를 통해 상위경계치의 진동수를 구하고 다항식의 차수를 증가시켜 엄밀해에 수렴된 진동수를 구할 수 있다. 선형적으로 두께가 변하는 두꺼운 원추형쉘과 구형쉘에 대한 예를 통하여 하위 다섯 개의 진동수에 대해서 유효 숫자 4자리까지의 정확한 수렴성연구가 이루어졌다. 이 해석 방법은 두께가 매우 두꺼운 쉘 뿐만이 아니라 얇은 쉘에도 적용이 가능하다