• 대한수학회지
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• 제48권1호
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• pp.159-167
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• 2011

We consider a curve $\alpha$= $\alpha$(s) in Minkowski 3-space $E_1^3$ and denote by {T, N, B} the Frenet frame of $\alpha$. We say that $\alpha$ is a slant helix if there exists a fixed direction U of $E_1^3$ such that the function is constant. In this work we give characterizations of slant helices in terms of the curvature and torsion of $\alpha$. Finally, we discuss the tangent and binormal indicatrices of slant curves, proving that they are helices in $E_1^3$.

• 대한수학회지
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• 제31권3호
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• pp.339-352
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• 1994

A sumbanifold M of a quaternionic Kaehlerian manifold $\tilde{M}^m$ of real dimension 4m is called a generic submanifold if the normal space N(M) of M is always mapped into the tangent space T(M) under the action of the quaternionic Kaehlerian structure tensors of the ambient manifold at the same time.The purpose of the present paper is to study generic submanifold of quaternionic Kaehlerian manifold of constant Q-sectional curvature with nonvanishing parallel mean curvature vector. In section 1, we state general formulas on generic submanifolds of a quaternionic Kaehlerian manifold of constant Q-sectional curvature. Section 2 is devoted to the study generic submanifolds with nonvanishing parallel mean curvature vector and compute the restricted Laplacian for the second fundamental form in the direction of the mean curvature vector. As applications of those results, in section 3, we prove our main theorems. In this paper, the dimension of a manifold will always indicate its real dimension.

• 대한전기학회논문지:전력기술부문A
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• 제48권3호
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• pp.190-196
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• 1999

Continuation power flow has been developed to remove the ill-condition problem caused by singularity of power flow Jacobian at and near at steady-state voltage instability point in conventional power flow. Continuation power flow consists of predictor and corrector. In prddictor, the direction vector at the resent solution is caluculated and the initial guess of next solution is determined at the distance of step length. The selection of step length is a very important part, since computational speed and convergence performance are both greatly affected by the choice of the step length. This paper presents the practical step length selection algorithm using the reactive power generation sensitivith. In numulation, the proposed algorithm is compared with step length selection algorithm using TVI(tangent vector index).

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제6권12호
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• pp.3296-3314
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• 2012

We present a novel approach for the simulation of color pencil effects using line integral convolution (LIC) to produce pencil drawings from images. Our key idea is to use a bilateral convolution filter to simulate the various effects of pencil strokes. Our filter resolves the drawbacks of the existing convolution-based schemes, and presents an intuitive control to mimic the properties of pencil strokes. We also present a scheme that determines stroke directions from the shapes to be drawn. Smooth tangent flows are used for the pixels close to feature lines, and partially parallel flows inside regions. The background is rendered using a flow of fixed direction. Using different styles of stroke directions increases the realism of the resulting images. This approach produces convincing pencil drawing effects from photographs.

• Structural Engineering and Mechanics
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• 제5권2호
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• pp.193-207
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• 1997

Experimental tests are described on three ring stiffened machined circular cylinders and three ring stiffened machined circular cones, which were tested to destruction under uniform external pressure. All six vessels failed by inelastic general instability. The experiments showed that the vessels initially deformed plastically at mid-bay in the circumferential direction, and this caused the circumferential tangent modulus to become much less than the elastic Young's modulus, causing the vessels to fail through plastic general instability at pressures much less than that predicted by elastic theory. Based on a thinness ratio, two semi-empirical design charts are provided, which are intended to be used for design purposes in conjunction with the finite element method and a plastic reduction factor.

• 호남수학학술지
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• 제44권2호
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• pp.259-270
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• 2022

This paper is devoted to the geometry of vector fields and timelike flows in terms of anholonomic coordinates in three dimensional Lorentzian space. We discuss eight parameters which are related by three partial differential equations. Then, it is seen that the curl of tangent vector field does not include any component in the direction of principal normal vector field. This implies the existence of a surface which contains both s - lines and b - lines. Moreover, we examine a normal congruence of timelike surfaces containing the s - lines and b - lines. Considering the compatibility conditions, we obtain the Gauss-Mainardi-Codazzi equations for this normal congruence of timelike surfaces in the case of the abnormality of normal vector field is zero. Intrinsic geometric properties of these normal congruence of timelike surfaces are obtained. We have dealt with important results on these geometric properties.

• 한국전산구조공학회논문집
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• 제25권6호
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• pp.559-567
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• 2012

초탄성을 고려한 비선형 구조의 레벨셋 기반 위상 및 형상 최적설계 방법을 개발하였다. 전체 영역에서 재료의 극단적인 불균형 분포로 기인하는 부정확한 접강성행렬(tangent stiffness matrix)로 인해, 비선형 문제의 위상 최적설계는 심각한 수렴성의 어려움을 겪는다. 이를 해결하기 위해, 임의의 형상을 표현할 수 있는 레벨셋 방법의 장점을 이용하여 정확한 접강성 행렬을 구하기 위해 명시적인 경계(explicit boundary)를 이용하였다. 레벨셋 함수로 표현되는 임의의 영역을 암시적 고정 격자(implicit fixed grid)를 이용하여 계산하는 것 대신에 명시적으로 그 영역을 이산화하기 위해 딜라우네이 삼각화 기법(Delaunay triangulation scheme)을 이용하였다. 레벨셋 방정식을 풀기 위해 최적화 조건으로부터 라그란지안(Lagrangian; 목적함수)가 감소하는 방향이 되도록 속도장을 결정하였다. 실제 영역 바깥쪽 속도장은 Adalsteinsson와 Sethian(1999)가 제안한 속도확장 기법을 이용하여 구하였다. 레벨셋 기반의 최적화 기법에 위상 민감도를 이용하여, 최적화 과정에서 원하는 시기와 위치에 위상 변화가 가능하도록 하였다.

• 한국공작기계학회논문집
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• 제15권4호
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• pp.74-82
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• 2006

This paper describes the steady flow characteristics due to PDA and tumble control valve in combustion chamber. We also investigated the flow inclination angle defined as the inverse tangent of non-dimensional rig tumble(NRT) devided by non-dimensional rig swirl(NRS) to find dominant flow direction. So we adapted two different types of PDA valve(port deactivation valve) to strengthen a swirl flow. The in-cylinder swirl flow different tendency between with/without PDA valve. It might be thought to be affected by swirl flow. We could find that tumble ratio and swirl ratio is different by PDA valve. The comparison are taked account of the swirl, the tumble ratio comparison in same mass flow rate. As a result, PDA valve is better than tumble control valve both in steady flow condition and swirl, tumble ratio. The data from present study are available for design of engine as the basic data.

• 한국섬유공학회:학술대회논문집
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• 한국섬유공학회 1987년도 학술발표초록집
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• pp.11-11
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• 1987

Among other poly(4,4'-terephthanilidealkylamide)s (PTAA's), poly (4,4'-terephthanilideadipamide) (PTAd) gave clear critical concentration curves. For PTAA's with methylene units more than 6, the critical concentration (C*) seemed to be beyond the solubility limit of H₂SO₄. Under shearing conditions, the nematic domains were easily oriented and stretched in the direction of shear , and a fibrillar structure resulted. At low frequencies, a monotollous reduction of loss tangent (tan) was observed as concentration increased. At high frequencies, however, tan was increased above C* again, and showed maximum at saturation concentration (Cs). With increasing temperature, viscosity of isotropic and anisotropic phases was normally decreased, while viscosity of biphases was increased. Plot of complex viscosity (If) against temperature based on rheological measurements exhibited a good correlation with phase diagram constructed by polarizing microscope observations. Rheological parameters suggested the optimum dope concentration of PTAd with inherent viscosity 2.02 at 30oc is in the vicinity of 19.2 wt%, which seemed to agree well with spinning experiments (around 19.4 wt%). In general, effects of spinning and annealing conditions on the mechanical properties of PTAA fibres were most pronounced in PTAd fibre spun from anisotropic spinning dope .

• 한국정보통신학회:학술대회논문집
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• 한국정보통신학회 2015년도 추계학술대회
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• pp.65-67
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• 2015

본 논문에서는 소형 WLAN 안테나에 적용 가능한 안테나 설계를 설계하고 적용 가능성을 검토하였다. 제안된 안테나는 $45mm{\times}45mm$ 크기의 RF4 기판(비유전율 4.4, 두께 1.6 mm, 손실탄젠트 0.025) 위에 $29mm{\times}29mm$ 크기의 마이크로스트립 패치 안테나를 인쇄하여 MoM법으로 계산하였다. 광대역 특성을 얻기 위하여 기판 상부에 위치한 패치 안테나의 대각 모서리를 3.2mm 커팅 처리하고 급전부는 50ohm 임피던스 정합을 위해 안테나 중심축에서 수평 방향으로 5.1mm 위치로 결정하였다. 계산 결과로서 WLAN 사용대역 2.4-2.48GHz을 고려할 때 정재파비가 2 이하인 주파수 대역은 2.365-2.45GHz(85MHz, 3.53%)로 나타났다.