• 제목/요약/키워드: the roots of equation

검색결과 89건 처리시간 0.025초

Critical Mass Minimization of a Cylindrical Geometry Reactor by Two Group Diffusion Equation

  • Lee, Chang-Kun
    • Nuclear Engineering and Technology
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    • 제5권2호
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    • pp.115-131
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    • 1973
  • L.S. Pontryagin의 Maximum Principle과 수직방향을 고려하지 않은 2군 화산 방정식을 우라늄농축도 범위에 제한없이 원통형원자로의 최소 임계질량문제에 적용하였다. 핵연료 장전방법에 관한한 최적 원자로는 내심부와 외심부가 최소의 농축도를 갖고 중간영역은 최대의 농축도를 갖는 3-영역식 원자로인 것으로 밝혀졌다. 상기 3-영역식 원자로를 모델로 하여 임계조건을 유도하였으며, 또한 고리원자로를 예로하여 농축도를 여러가지로 변환시키면서 임계조건의 해를 구하는 수치해석을 수행하였다. 그 결과 여러가지 임계조건중 최소의 임계질량을 갖는 경우는 중간영역에서의 최대 농축도가 1.2%이고 내심부와 외심부에서의 농축도가 0.65%일때라는 것이 판명되었다.

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게르마늄 함유 인삼 부정근의 생장 증대를 위한 액체배양 조건의 최적화 (Optimization of Submerged Culture Conditions for the Growth Increase of Ginseng Adventitious Root Containing Germanium)

  • 장은정;오훈일
    • Journal of Ginseng Research
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    • 제33권2호
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    • pp.143-148
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    • 2009
  • 식물조직배양기술을 이용하여 게르마늄 함유 인삼 부정근을 생산하고자 식물생장조절물질로 유도된 인삼 부정근을 사용하여 게르마늄 함유 인삼 부정근의 생장을 증가시킬 수 있는 최적액체배양조건을 RSM으로 조사하였다. 최적 액체배양조건을 $GeO_2$의 농도, $GeO_2$의 첨가시기, 배지의 초기 pH, phosphoric acid ($H_3PO_4$)의 농도 3 level-4 factor의 fractional factorial block에 의하여 조사한 결과, 인삼 부정근의 생체중량은 최저 1.55g에서 최고 2.45g까지 나타났다. 다중회귀분석으로 구한 model식을 가지고 등고 분석과 3차원 분석을 수행한 후, 독립변수의 최저 또는 최고수준에서 종속변수가 최대치를 나타내지 않는 '배지의 초기 pH'와 'phosphoric acid의 농도' 변수에 대하여 model식을 편미분한 결과, 인삼부정근의 생체중량이 최고치를 나타내는 액체배양조건은 $GeO_2$ 10 ppm, pH 4.7, phosphoric acid 6.0mM로 예측되었다. 이렇게 결정된 조건값들을 model식에 대입하여 얻은 예상치는 2.47g이었다.

피딩데크 운동을 고려한 광픽업 액츄에이터의 동특성 해석 (Dynamic Characteristics of an Optical Pick-up Actuator Considering the mention of a Feeding Deck)

  • 신갑수;정진태;김원석
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 추계학술대회논문집
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    • pp.92-97
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    • 2002
  • There are a lot of roots of errors in an motion of the optical pick-up actuator being one of the most significant components in a CD-ROM drive. Most of the studies recently performed have a tendency to seek for the causes from an actuator itself. This paper present the dynamic characteristics of an actuator affected by the motion of a feeding deck. The feeding system is modeled as a rigid body with eight degree-of-freedom. Using Largrange's equation, we derive the linear equations of motion with respect to the rectangular coordinate. We found the fact that the ranges of the natural frequencies of a feeding deck and an actuator are close to each other. And the time responses are also computed by the Newmark method and Runge-Kutta method.

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피딩데크 운동을 고려한 광픽업 액추에이터의 동특성 해석 (Dynamic Characteristics of an Optical Pick-up Actuator Considering the Motion of a Feeding Deck)

  • 신갑수;김원석;정진태
    • 한국소음진동공학회논문집
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    • 제14권1호
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    • pp.10-16
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    • 2004
  • There are a lot of roots of errors in a motion of the optical pick-up actuator being one of the most significantcomponents in a CD-ROM drive. Most of the studios recently performed have a tendency to seek for the causes from an actuator itself. This paper presents dynamic characteristics of an actuator affected by the motion of a feeding deck. The feeding system is modeled as a rigid body with eight degree-of-freedom. Using Largrange's equation, we derive linear equations of motion with respect to the rectangular coordinate. We found that the ranges of the natural frequencies of a feeding deck and the actuator are close to each other. The time responses are also computed by the Newmark method and Runge-Kutta method. The result show that it is important effect to consider feeding deck in modeling and designing an optical pick-up.

천문항법의 전산화에 관한 연구 (Computer Application to Celestial Navigation System)

  • 신영길
    • 한국항해학회지
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    • 제13권2호
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    • pp.1-21
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    • 1989
  • The computer can be used to display a continuously updated list or plot of vessel position. The computer that accept input data from a number of different navigation systems, e.g., Loran , Satnav, Radar, Decca, Compass, Sextant with electrical output etc., can compute the position of a vessel relative to prerecorded objects. The celestial navigation system requires the computer to do not much calculation. Calculation are for trigonometeric, linear systems, finding roots of nonlinear equation and least square estimation etc, . In order to computerize the celestrial navigation system, these calculations must be programmed. The purpose of this thesis is to study the formulation, the design and the test of calculations of the coordinates of celestial bodies, the altitude correction and the solution of the navigational triangle processes.

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Evaluation of torsional natural frequencies for non-tubular bonded joints

  • Pugno, Nicola;Ruotolo, Romualdo
    • Structural Engineering and Mechanics
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    • 제13권1호
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    • pp.91-101
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    • 2002
  • During the last several years, research activity on non-tubular bonded joints has concentrated on the effects of normal stress, bending moments and shear. Nevertheless, in certain situations, the structure may be subjected to twisting moments, so that the evaluation of its dynamic behaviour to torsional vibrations becomes of great importance even though evaluations of such loading conditions is entirely lacking in the literature. The aim of this article is to show that torsional natural frequencies of the non-tubular joint can be evaluated by determining the roots of a determinantal equation, derived by taking advantage of some analytical results obtained in a previous paper dealing with the analysis of the state of stress in the adhesive. Numerical results related to clamped-free and clamped-clamped joints complete the article.

Modal Analysis of Point and Discretized Continuous Spectra for Metal-Insulator-Metal Waveguides in the Terahertz Region

  • Hur, Jun;Choo, Hosung;Park, Jong-Eon
    • Journal of Electrical Engineering and Technology
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    • 제13권4호
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    • pp.1644-1654
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    • 2018
  • Eigenvalue distributions for a periodic metal-insulator-metal waveguide, classified into the point spectrum and the discretized continuous spectrum (DCS), are investigated as functions of frequencies, gap widths, and periods. Muller's method is suggested for solving exact eigenvalues, and we propose the scheme for finding proper initial values in the Muller's method by considering only ${\Re}e({\varepsilon}_r)$ in the dispersion equation. We then find that anti-crossing behavior, repulsive effect between the point spectrum and the DCS, becomes stronger when the real parts of the roots in the point spectrum have smaller values. Finally, we examine the transmittances of a single subwavelength slit for real metals using the mode matching technique. The transmittances in real metals similarly follow those of the perfect electric conductor (PEC) at low frequencies, while the patterns at higher frequencies begin to differ from the PEC.

A NEW OPTIMAL EIGHTH-ORDER FAMILY OF MULTIPLE ROOT FINDERS

  • Cebic, Dejan;Ralevic, Nebojsa M.
    • 대한수학회지
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    • 제59권6호
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    • pp.1067-1082
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    • 2022
  • This paper presents a new optimal three-step eighth-order family of iterative methods for finding multiple roots of nonlinear equations. Different from the all existing optimal methods of the eighth-order, the new iterative scheme is constructed using one function and three derivative evaluations per iteration, preserving the efficiency and optimality in the sense of Kung-Traub's conjecture. Theoretical results are verified through several standard numerical test examples. The basins of attraction for several polynomials are also given to illustrate the dynamical behaviour and the obtained results show better stability compared to the recently developed optimal methods.

THE EXTENSION OF SOLUTIONS FOR THE CAUCHY PROBLEM IN THE COMPLEX DOMAIN

  • Lee, Eun-Gu;Kim, Dohan
    • 대한수학회보
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    • 제26권2호
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    • pp.185-190
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    • 1989
  • In [4], J. Leray introduced the notion of partial hyperbolicity to characterize the operators for which the non-characteristic Cauchy problem is solvable in the Geverey class for any data which are holomorphic in a part of variables x"=(x$_{2}$,..,x$_{l}$ ) in the initial hyperplane x$_{1}$=0. A linear partial differential operator is called partially hyperbolic modulo the linear subvarieties S:x"=constant if the equation P$_{m}$(x, .zeta.$_{1}$, .xi.')=0 for .zeta.$_{1}$ has only real roots when .xi.'is real and .xi."=0, where P$_{m}$ is the principal symbol of pp. Limiting to the case of operators with constant coefficients, A. Kaneko proposed a new sharper condition when S is a hyperplane [3]. In this paper, we generalize this condition to the case of general linear subvariety S and show that it is sufficient for the solvability of Cauchy problem for the hyperfunction Cauchy data which contains variables parallel to S as holomorphic parameters.blem for the hyperfunction Cauchy data which contains variables parallel to S as holomorphic parameters.

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담배의 생장반응에 관한 수리해석적 연구 I. 전건물중의 생장곡선과 생장속도 (Studies on the Mathematical Analysis of Growth Kinetics in Tobacco (Nicotiana tabacum L. ) I. Growth Curve and Growth Velocity of Total Dry Weight.)

  • 김용암;변주섭
    • 한국연초학회지
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    • 제3권2호
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    • pp.109-114
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    • 1981
  • This experiment was conducted with three varieties (Hicks, Burley 21, Sohyang) and cropping systems (Improved mulching, Mulching, Non mulching) of NC 2326 to analyze growth kinetics by means of growth function involving its velocity and accelerated velocity. The basic growth data were obtained by harvest method at interval of ten days from transplanting to hundred days and analyzed by , regression equation, determinant of matrix, and differentiation. The plot of total dry weight of leaves, stalk and roots per a plant vs. time forms a sigmoid curve and its function fitted logistic satisfactorily. Tobacco plant grows at an accelerated velocity. And growth velocity, symmetric about an inflection point, is proportional to biomass attained and to the difference between biomass attained and the maximum, and to the decrease according to the biomass. Of varieties and cropping systems, the most maximum velocity was 9.58g per day per plant in mulching cultivation of NC 2326 and maximum accelerated velocity was 264mg per $day^2$ per plant in Burley 21.

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