• 제목/요약/키워드: Cubic equation

검색결과 273건 처리시간 0.025초

Fuzzy System Representation of the Spline Interpolation for differentiable functions

  • Moon, Byung-Soo
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1998년도 The Third Asian Fuzzy Systems Symposium
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    • pp.358-363
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    • 1998
  • An algorithm for representing the cubic spline interpolation of differentiable functions by a fuzzy system is presented in this paper. The cubic B-spline functions which form a basis for the interpolation function are used as the fuzzy sets for input fuzzification. The ordinal number of the coefficient cKL in the list of the coefficient cij's as sorted in increasing order, is taken to be the output fuzzy set number in the (k, l) th entry of the fuzzy rule table. Spike functions are used for the output fuzzy sets, with cij's as support boundaries after they are sorted. An algorithm to compute the support boundaries explicitly without solving the matrix equation involved is included, along with a few properties of the fuzzy rule matrix for the designed fuzzy system.

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입방형 채널 캐비티 유동의 PIV 해석 (PIV Analysis of Cubic Channel Cavity Flow)

  • 조대환;김진구;이영호
    • Journal of Advanced Marine Engineering and Technology
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    • 제21권5호
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    • pp.557-563
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    • 1997
  • The unsteady flow in three-dimensional cubic cavity with narrow channel at upper region is investigated experimentally for three kinds of Reynolds number, 1*10/sup 4/, 3*10/sup 4/ and 5*10/sup 4/ based on the cavity width and cavity inlet mean flow velocity. Instant velocity vectors are obtained simultaneously at whole field by PIV(Particle Image Velocimetry). Wall pressure distributions are estimated using Poisson equation from the velocity data. Results of PIV reveal that severe unsteady flow fluctuation within the cavity are remarkable at all Reynolds numbers and sheared mixing layer phenomena are also found at the region where inlet driving flow is collided with the clock-wise rotating main primary vortex. Instant velocity profiles reveal that deformed forced vortex formation is observed throughout the entire region and spanwise kinetic energy migration is conspicuous.

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끝단면에 ?을 갖는 원통주의 전류분포 해석 (Analysis of Current Distribution on Cylinders with End Cap)

  • 이강호;김정기
    • 한국통신학회논문지
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    • 제15권11호
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    • pp.879-885
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    • 1990
  • 준정적 근사법을 적용하여 평탄한 단면(End cap)을 포함하는 회전체에 유기되는 전류에 대한 적분방정식을 유도하고 모멘트법을 이용해서 해석하였다. 수체해석시 기저함수로 Cubic B Spline 함수, 가중함수로 델타함수를 사용한 Point Matching Method를 사용하였다. 또한 끝단에 둥근타원체(Spheroidal end cap)를 갖는 경우 및 평탄한 단면을 갖는 원통주의 구조변수 변화에 따른 영향관계를 해석하였다.

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수정된 CIP방법을 이용한 벽면 충돌 후 액적의 퍼짐 현상에 대한 수치해석 연구 (Numerical Study on Droplet Spread Motion after impingement on the wall using improved CIP method)

  • 손소연;고권현;이성혁;유홍선
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2010년 춘계학술대회논문집
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    • pp.109-114
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    • 2010
  • Interface tracking of two phase is significant to analyze multi-phase phenomena. The VOF(Volume of Fluid) and level set are well known interface tracking method. However, they have limitations to solve compressible flow and incompressible flow at the same time. CIP(Cubic Interpolate Propagation) method is appropriate for considering compressible and incompressible flow at once by solving the governing equation which is divided up into advection and non-advection term. In this article, we analyze the droplet impingement according to various We number using improved CIP method which treats nonlinear term once more comparison with original CIP method. Furthermore, we compare spread radius after droplet impingement on the wall with the experimental data and original CIP original CIP method, and it reduces the mass conservation error which is generated in the numerical analysis comparison with original CIP method.

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구동류를 갖는 입방형 캐비티의 유동특성에 관한 연구 (A Study on the Flow Characteristics of Cubic Cavity with driven Flow)

  • 최민선
    • Journal of Advanced Marine Engineering and Technology
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    • 제22권6호
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    • pp.935-941
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    • 1998
  • Experiments were carried out for a cubic cavity flow. Contrinuous shear stress is supplied by driven flow for high Reynolds number and three kinds of aspect ratios. Velocity vectors are obtained by PIV and they are used as velocity components for Poisson equation for pressure, Related boundary conditions and no-slip condition at solid wall and the linear velocity extrapolation on the upper side of cavity are well examined for the present study. For calculation of pressure resolution of grid is basically $40{\times}40$ and 2-dimensional uniform mesh using MSC staggered grid is adopted. The flow field within the cavity maintains a forced-vortex formation and almost of the shear stress from the driving inflow is transformed into rotating flow energy and the size of the distorted forced-vortex increases with increment of Reynolds number

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Levenberg-Marquardt 방법을 이용한 육면형 병렬기구의 설치 오차 보정 (Installation Error Calibration by Using Levenberg-Marquardt Method on a Cubic Parallel Manipulator)

  • 임승룡;임현규;최우천;송재복;홍대희
    • 한국정밀공학회지
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    • 제20권2호
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    • pp.184-191
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    • 2003
  • A parallel manipulator has high stiffness and all the joint errors on the device are not accumulated at the end -effector unlike a serial manipulator. These are the reasons why the parallel manipulator has been widely used in many fields of industry. In the parallel manipulator, it is very important to predict the exact pose of the end-effector when we want to control the end-effector motion. Installation errors have to be determined in order to predict and control the actual position and pose of the end-effector. This paper presents an algorithm to find the whole 36 joint error components with joint clearance errors and measurement errors considered, when a link length measurement sensor is used and data more than 36 times are acquired for 36 different configurations. A simulation test using this algorithm is performed with a Matlab program which uses the Levenberg-Marquardt method that is known to be efficient for non-linear optimization.

ON EVALUATIONS OF THE CUBIC CONTINUED FRACTION BY MODULAR EQUATIONS OF DEGREE 3

  • Paek, Dae Hyun;Shin, Yong Jin;Yi, Jinhee
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제25권1호
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    • pp.17-29
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    • 2018
  • We find modular equations of degree 3 to evaluate some new values of the cubic continued fraction $G(e^{-{\pi}\sqrt{n}})$ and $G(-e^{-{\pi}\sqrt{n}})$ for $n={\frac{2{\cdot}4^m}{3}}$, ${\frac{1}{3{\cdot}4^m}}$, and ${\frac{2}{3{\cdot}4^m}}$, where m = 1, 2, 3, or 4.

Albedo형 경계조건을 가진 다군확산문제에 대한 유한요소해 (A Finite Element Solution to the Group Diffusion Problems with Albedo-Type Boundary Conditions)

  • Kun Joong Yoo;Chang Hyo Kim;Chang Hyun Chung
    • Nuclear Engineering and Technology
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    • 제14권4호
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    • pp.178-185
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    • 1982
  • 중성자 다군 확산 방정식의 해를 구하기 위하여 albedo형 경계조건을 Hermite 3차 다항식에 의거한 유한요소법과 결합하였다. 중성자 확산문제에 흔히 이용되는 확산방정식의 weak form을 경계조건과 일치하도록 수정하였으며 또한 경계면에 접한 node영역에서의 요소함수 또한 수정 정의하였다. 수정된 유한요소법의 수치계산상의 효율성을 조사할 목적으로 2차원 ZION 가압경수형 원자로문제를 시험계산하고 그 결과를 기존의 다른 계산결과와 비교하였다.

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Facile Hydrothermal Synthesis and Characterization of the $CeO_2$ Nanorings

  • Arul, N. Sabari;Kim, Tae Whan;Mangalaraj, Devanesan
    • 한국진공학회:학술대회논문집
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    • 한국진공학회 2013년도 제44회 동계 정기학술대회 초록집
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    • pp.455-455
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    • 2013
  • $CeO_2$ nanorings were synthesized by using a surfactant free hydrothermal method. The surface morphology, structural and optical properties of the synthesized $CeO_2$ was investigated by using scanning electron microscopy (SEM), X-ray diffraction (XRD), and ultraviolet-visible (UV) spectroscopy measurements. SEM images showed that the surface morphology of the formed $CeO_2$ appeared as nanorings. The XRD pattern of $CeO_2$ nanorings showed the presence of the polycrystalline $CeO_2$ phase readily indexed to the cubic fluorite structure of the $CeO_2$. The mean crystallite size of the $CeO_2$ was calculated using the Scherrer equation from the XRD line broadening of the (111) planes of the cubic $CeO_2$. The UV-Visible spectroscopy spectrum of the $CeO_2$ nanorings exhibited a strong UV absorption band around 350 nm.

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Dynamic Elastica에 의한 유연매체의 거동해석 (Analysis of Flexible Media Behavior by Dynamic Elastica)

  • 홍성권;지중근;장용훈;박노철;박영필
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2004년도 추계학술대회논문집
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    • pp.600-605
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    • 2004
  • In many machines handling lightweight and flexible media such as magnetic tape drives, xerographic copiers and sewing machines, the media must transit an open space. It is important to predict the static and dynamic behavior of the sheets with a high degree of reliability. The nonlinear theory of the dynamic elastica has often been used to a nonlinear dynamic deflection model. In this paper, the governing equation is derived and simulated by the finite differential method. The parametric cubic curve is applied for defining the guide shape. The dynamic contact conditions suggested by Klarbring is used to predict the direction of the flexible media according to the initial velocity and the friction coefficient. The analysis is also compared to the conventional model, showing that after contacting a $45^{\circ}$ wall, the directions of flexible media of two models are different.

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