• 제목/요약/키워드: Curve on surface

검색결과 1,151건 처리시간 0.029초

The study of the c($2{\times}2$) ordered Mn surface alloy Pd(001)

  • Jung, J.W.;Kim, S.H.;Park, C.Y.;Seo, J.K.;Min, H.G.;Byun, D.H.;Kim, J.S.
    • Journal of Korean Vacuum Science & Technology
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    • 제4권3호
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    • pp.68-72
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    • 2000
  • We have deposited Mn on Pd(oon) at RT up to 30 ML. LEED pattern changed from p($1{\times}1$) to c($2{\times}2$) order below 0.5 ML Mn deposition. During Mn deposition, we have not found any changes in the peak position and the intensity of LEED I/V curve. Using LEED I/V curve analysis for each coverage, we found atomic structure and surface composition of c($2{\times}2$) ordered Mn alloy on Pd(001) surface. Above 1 Ml Mn, in the first layer the Mn subplane lies above the Pd subplane by 0.32 ${\AA}$. This result is very different from the earlier result of Jona et al., who contended that after annealing at 200 for 2 min, a buckled first layer with the Mn subplane lower than the Pd subplane by 0.2 ${\AA}$.

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선형의 순정 기법에 관한 기초 연구 (A Basic Study on the Fairing Method of Ship Hull Surface)

  • 김동준;윤태경
    • 대한조선학회논문집
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    • 제31권2호
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    • pp.15-21
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    • 1994
  • 전산기를 이용한 순정작업은 크게 두 가지로 구분할 수 있다. 첫번째는 단면곡선, 즉 2차원 곡선을 순정하고 다른 단면에서도 역시 부드러운가를 확인하는 전통적인 방법이다. 두번째는 곡면을 이용하는 것으로 전산기의 발달과 더불어 최근 많이 사용하고 있는 방법이다. 그러나 이 경우 먼저 선형을 곡면으로 정의하여야 하나 복잡한 선형의 경우 쉽지가 않다. 본 연구에서는 곡선의 순정기법을 확장하여 그물망 곡선(mesh curve)의 경우에 대해 비균일(non-uniform) B-Sp line 곡선을 이용한 Rong의 방법으로 선형의 순정작업을 행하였다. 그러나 Rong의 방법에는 곡선의 양 끝점에서의 기울기가 고정되어야 하는 제한이 있으며 곡면화 방법에 대한 기술이 명확하지 못하다. 본 연구에서는 곡선의 양끝의 기울기를 고정시키지 않고 순정작업을 할 수 있도록 하였으며, 순정된 결과를 곡면화하는 방법을 제안하였다.

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Limit analysis of seismic collapse for shallow tunnel in inhomogeneous ground

  • Guo, Zihong;Liu, Xinrong;Zhu, Zhanyuan
    • Geomechanics and Engineering
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    • 제24권5호
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    • pp.491-503
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    • 2021
  • Shallow tunnels are vulnerable to earthquakes, and shallow ground is usually inhomogeneous. Based on the limit equilibrium method and variational principle, a solution for the seismic collapse mechanism of shallow tunnel in inhomogeneous ground is presented. And the finite difference method is employed to compare with the analytical solution. It shows that the analytical results are conservative when the horizontal and vertical stresses equal the static earth pressure and zero at vault section, respectively. The safety factor of shallow tunnel changes greatly during an earthquake. Hence, the cyclic loading characteristics should be considered to evaluate tunnel stability. And the curve sliding surface agrees with the numerical simulation and previous studies. To save time and ensure accuracy, the curve sliding surface with 2 undetermined constants is a good choice to analyze shallow tunnel stability. Parameter analysis demonstrates that the horizontal semiaxis, acceleration, ground cohesion and homogeneity affect tunnel stability greatly, and the horizontal semiaxis, vertical semiaxis, tunnel depth and ground homogeneity have obvious influence on tunnel sliding surface. It concludes that the most applicable approaches to enhance tunnel stability are reducing the horizontal semiaxis, strengthening cohesion and setting the tunnel into good ground.

형상 분석에 의한 안경렌즈의 비구면 계수 추출 방법 (A method to extract the aspherical surface equation from the unknown ophthalmic lens)

  • 이호철;이남영;김건희;송창규
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2004년도 추계학술대회 논문집
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    • pp.430-433
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    • 2004
  • The ophthalmic lens manufacturing processes need to extract the aspherical surface equation from the unknown surface since its real profile can be adjusted by the process variables to make the ideal curve without the optical aberration. This paper presents a procedure to get the aspherical surface equation of an aspherical ophthalmic lens. Aspherical form generally consists of the Schulz formula to describe its profile. Therefore, the base curvature, conic constant, and high-order polynomial coefficient should be set to the original design equation. To find an estimated aspherical profile, firstly lens profile is measured by a contact profiler, which has a sub-micrometer measurement resolution. A mathematical tool is based on the minimization of the error function to get the estimated aspherical surface equation from the scanned aspherical profile. Error minimization step uses the Nelder-Mead simplex (direct search) method. The result of the refractive power measurement is compared with the curvature distribution on the estimated aspherical surface equation

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SOME RATIONAL CURVES OF MAXIMAL GENUS IN ℙ3

  • Wanseok LEE;Shuailing Yang
    • East Asian mathematical journal
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    • 제40권1호
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    • pp.75-83
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    • 2024
  • For a reduced, irreducible and nondegenerate curve C ⊂ ℙr of degree d, it was shown that the arithmetic genus g of C has an upper bound π0(d, r) by G. Castelnuovo. And he also classified the curves that attain the extremal value. These curves are arithmetically Cohen-Macaulay and contained in a surface of minimal degree. In this paper, we investigate the arithmetic genus of curves lie on a surface of minimal degree - the Veronese surface, smooth rational normal surface scrolls and singular rational normal surface scrolls. We also provide a construction of curves on singular rational normal surface scroll S(0, 2) ⊂ ℙ3 which attain the maximal arithmetic genus.

동적인 B-spline 곡선과 곡면의 효율적인 평가방법 (Fast Evaluation of a dynamic B-spline Curve and Surface)

  • 류중현;김덕수
    • 한국산업경영시스템학회:학술대회논문집
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    • 한국산업경영시스템학회 2002년도 춘계학술대회
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    • pp.461-466
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    • 2002
  • In many applications of computer aided geometric design and computer graphics, B-spline is one of the most popular representation for curves and surfaces, and the evaluation of B-spline curves and surfaces is the most frequently used operation. For the evaluation and others, the power form representation of the curves and surfaces is preferred because it is possible to speed-up the operation using Horner's rule. In this paper, we present a new algorithm for the above-mentioned conversion focusing on a dynamic case. Experiment shows that the proposed algorithm significantly outperforms the conventional approach when one or more control points of a B-spline curve and surface are dynamically moving.

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ON THE MINIMAL FREE RESOLUTION OF CURVES OF MAXIMAL REGULARITY

  • Lee, Wanseok;Park, Euisung
    • 대한수학회보
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    • 제53권6호
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    • pp.1707-1714
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    • 2016
  • Let $C{\subset}{\mathbb{P}}^r$ be a nondegenerate projective curve of degree d > r + 1 and of maximal regularity. Such curves are always contained in the threefold scroll S(0, 0, r - 2). Also some of such curves are even contained in a rational normal surface scroll. In this paper we study the minimal free resolution of the homogeneous coordinate ring of C in the case where $d{\leq}2r-2$ and C is contained in a rational normal surface scroll. Our main result provides all the graded Betti numbers of C explicitly.

Continuous Tool-path Generation for High Speed Machining

  • Lee, Eung-Ki;Hong, Won-Pyo;Park, Jong-Geun
    • International Journal of Precision Engineering and Manufacturing
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    • 제3권4호
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    • pp.31-36
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    • 2002
  • A continuous tool-path, that is to cut continuously with the minimum number of cutter retractions during the cutting operations, is developed in order to minimise the fluctuation of cutting load and the possibility of chipping on the cutting edge in HSM (high-speed machining). This algorithm begins with the offset procedure along the boundary curve of the sculptured surface being machined. In the of offset procedure, the offset distance is determined such that the scallop height maintains a constant roughness to ensure higher levels of efficiency and quality in high-speed machining. Then, the continuous path is generated as a kind of the diagonal curve between the offset curves. This path strategy is able to connect to neighbor paths without cutter retractions. Therefore, the minimum tool retraction tool-path can be generated And, it allows the sculptured surface incorporating both steep and flat areas to be high-speed machined.

소성공정에 의한 유리막과 Glass/Silicon 계면특성 (Glass Film and Glass/Silicon Interface Properties by Firing Profiles)

  • 윤세욱;허창수
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1998년도 추계학술대회 논문집 학회본부 C
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    • pp.729-731
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    • 1998
  • Surface passivation using glass powders results in good reliability for high voltage silicon power devices. In this paper, Zinc borosilicate glass was prepared for the purpose of passivating, and a deposition technique of glass films on the silicon surface by electrophoresis in which acetone is used as a suspension medium and a measurement technique of C-V curve has been investigated. Properties were compared using SEM, XRD, C-V Curve as a function of firing condition, temperature and atmosphere were investigated. Under 100V applied, 1 minute, $700^{\circ}C$ firing temperature, and $O_2$ atmosphere, I can get the fine films $5.8{\mu}m$ thickness with Zinc borosilicate glass. As a result of investigation of glass films, it has been found that pre-firing and annealing play an important role to achieve uniform, fine, reliable glass deposition films and Glass/Silicon interlace.

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수산화나트륨 수용액에서 AZ31 마그네슘 합금의 양극산하 거동에 미치는 인가 전류밀도의 영향 (Effect of applied anodic current density on anodic oxidation behavior of AZ31 Mg alloy in OH-containing aqueous solution)

  • 김예진;문성모;신헌철
    • 한국표면공학회:학술대회논문집
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    • 한국표면공학회 2017년도 춘계학술대회 논문집
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    • pp.98.2-98.2
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    • 2017
  • 본 연구에서는 다양한 농도의 수산화나트륨 수용액에서 AZ31 마그네슘 합금의 양극산화 거동에 미치는 인가 전류밀도의 영향에 대해 알아보았다. 다양한 크기의 DC 전류를 인가하여 양극산화 거동을 확인하였으며, 형성된 피막의 표면구조를 optical microscope, confocal scanning laser microscope 등을 이용하여 관찰하였다. 연구결과, 인가 전류밀도에 따라 세 가지 유형의 voltage-time curve를 얻을 수 있었으며, voltage-time curve의 유형에 따라 서로 다른 피막 색상과 표면구조를 형성함을 발견하였다. 수산화나트륨 전해액에서 AZ31 마그네슘 합금의 플라즈마 전해산화 피막은 0.6 M 이상의 농도를 가진 수산화나트륨 용액에서 임계값 이상의 전류밀도를 인가하였을 경우에만 형성됨을 확인하였다.

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