• Title/Summary/Keyword: circular function

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A Study on the Adequate Radius of Circular Arc in the Involute-Circular Arc Composite Tooth Profile (인벌류우트-원호 합성치형의 적정 원호반경에 대한 연구)

  • 정인승;손지원;윤갑영
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.2
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    • pp.296-303
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    • 1987
  • The composite gear which is composed of involute curve and circular arc has been studied. In the vicinity of pitch point, its profile is an involute curve, and in the dedenum, a circular arc. The curve in the dedendum is generated by the circular arc of the mating gear. Though the available range between minimum and maximum radius of circular arc can be given by existing tooth profile equation, there was no formulation which relates design parameters to the desired radius. It is attempted to get the formula for the radius of circular arc as a function of design parameters, such as unwounded angle, number of teeth, module, and pressure angle. The radius of circular arc, the chordal tooth thickness at working root circle, nominal bending stress, Hertz stress and contact ratio obtained from derived formula are compared with those of the existing design criteria. And these are compared with those of involute gear.

Properties of the Poisson-power Function Distribution

  • Kim, Joo-Hwan
    • Communications for Statistical Applications and Methods
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    • v.2 no.2
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    • pp.166-175
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    • 1995
  • When a neutral particle beam(NPB) aimed at the object and receive a small number of neutron signals at the detector without any errors, it obeys Poisson law. Under the two assumptions that neutral particle scattering distribution and aiming errors have a circular Gaussian distributions that neutral particle scattering distribution and aiming errors have a circular Gaussian distribution respectively, an exact probability distribution of neutral particles vecomes a Poisson-power function distribution. We study and prove some properties, such as limiting distribution, unimodality, stochastical ordering, computational recursion fornula, of this distribution. We also prove monotone likelihood ratio(MLR) property of this distribution. Its MLR property can be used to find a criteria for the hypothesis testing problem.

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The effect of regular exercise on immune response and hormone (규칙적인 운동이 면역반응 및 호르몬에 미치는 영향)

  • Park, Sang Kyu
    • The Korean Journal of Emergency Medical Services
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    • v.5 no.1
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    • pp.15-22
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    • 2001
  • This study has measured the pulmonary function by treadmill test for 6 young women who were in twenties, and analyzed the respiratory-circulatory function and the change of hormone and immune response after performing the exercise program (60% severity) for 10 weeks. The results are as follows; 1. 10 weeks regular exercise made a decrease in weight and body fat proportion, and improved the respiratory-circular function by increasing the maximum oxygen absorption and ventilation. 2. 10 weeks regular exercise made a significant increase in count of WBC, lymphocyte, and T lymphocyte, but a significant decrease in B lymphocyte. NK cell also showed an increase in counts, but insignificant. 3. 10 weeks regular exercise made a significant increase in blood norepinephrine level. Epinephrine and cortisol also showed an increase in count, but insignificant. In summary, it suggested that 10 weeks regular exercise improves the immune function by decrease in body fat, increase in respiratory-circular function and metabolic efficiency, and also by raising Th/Ts ratio (an increase in count of WBC, lymphocyte, and T lymphocyte, but a decrease in suppressor T lymphocyte).

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Stochastic Analysis of the Diamond Particle Distribution on the Surface of Circular Diamond Saw Blade (원형 다이아몬드 톱의 세그먼트 표면에서의 다이아몬드 입자 분포의 확률적인 해석)

  • 이현우;변서봉;정기정;김용석
    • Journal of Powder Materials
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    • v.10 no.3
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    • pp.201-208
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    • 2003
  • Distributions of diamond particles protruding on the surface of worn diamond segments in circular saw has been investigated. Scanning electron microscope was used to examine the worn ,surface and radial saw blade wear and grinding ratio was measured. The number of protruded diamond particle was approximately 50% of the total number of particles, and that was independent of diamond particle concentration and table speed. It was also noted that the inter-particle distance did not follow a symmetric function like Gaussian distribution function, instead it fitted well with a probability density function based on gamma function. The distribution of inter-particle spacing, therefore, was analyzed using a gamma function model.

Detection and segmentation of circular shaped objects using spatial information on boundary neighborhood (테두리 주위의 공간정보를 이용한 둥근 물체의 검색 및 분할)

  • 성효경;김성완;최흥문
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.34S no.6
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    • pp.30-37
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    • 1997
  • We present an efficient technique, bidirectioanl inertial maximum cost search technique, for th edetection and segmentation of circular shaped objects using the spatial information around the neighborhood of the boundary candidates. This technique searches boundary candidates using local pixdl information such as pixel value and its direction. And then to exclude pseudo-boundary caused by shadows or noises, the local contrast is defined between the clique of the boundary candidates and the cliques of the background. In order to effectively segment circular shaped boundary, the technique also uses the curvature based on trigonometirc function which determines circular shaped boundary segments. Since the proposed technique is applied to the pixel cliques instead of a pixel itself, it is proposed method can easily find out circular boundaries form iamges of the PCB containing circular shaped parts and the trees with round fruits compared to boundary detection by using the pixel information and the laplacian curvature.

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A Study on the Shape Optimal Design of Perforated Plate (다공평판의 형상최적화에 관한 연구)

  • 김형준;권영석;박정호;안찬우;김현수
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.10a
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    • pp.731-734
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    • 1997
  • In this study, a shape optimization is performed for circular and elliptical holes to reduce weight of a plate. It is accomplished in reference to the results of topology optimization of the square plate with circular hole. From the results. it is concluded that the stress values of shape optimization of them are satisfied with 100MPa of constraint condition.

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VIBRATION OF A CIRCULAR PLATE WITH A CONCENTRATED MASS ATTACHED ON A RADIUS

  • Lee, Jang-Moo;Hong, Jin-Sun
    • Journal of Theoretical and Applied Mechanics
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    • v.1 no.1
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    • pp.89-96
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    • 1995
  • An analytical method is presented for predicting the effect of a local deviation in the form of a concentrated mass along a radial line on the free bending vibration characteristics of a nearly axisymmetric circular plate. The approach is based on the Rayleigh-Ritz method and the expression of local deviation of the concentrated radial mass as the variation of heaviside unit step function. The effects of the concentrated mass on the natural frequencies and mode shapes of the plate are predicted with a proposed nondimensional mass parameter.

KUCERA GROUP OF CIRCULAR UNITS IN FUNCTION FIELDS

  • Ahn, Jae-Hyun;Jung, Hwan-Yup
    • Bulletin of the Korean Mathematical Society
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    • v.44 no.2
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    • pp.233-239
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    • 2007
  • Let $\mathbb{A}=\mathbb{F}_q$[T] be the polynomial ring over a finite field $\mathbb{F}_q$[T] and K=$\mathbb{F}_q$(T) its field of fractions. Let ${\ell}$ be a fixed prime divisor of q-1. Let J be a finite set of monic irreducible polynomials $P{\in}{\mathbb{A}}$ with deg $P{\equiv}0$ (mod ${\ell})$. In this paper we define the group $C_K$ of circular units in K=k$(\{\sqrt[{\ell}]P\;:\;P{\in}J\})$ in the sense of Kucera [4] and compute the index of $C_K$ in the full unit group $O^*_K$.

SHAPE OPTIMIZATION OF INTERNAL COOLING CHANNEL WITH STEPPED CIRCULAR PIN-FINS (단을 가진 원형 핀휜이 부착된 냉각유로의 형상 최적 설계)

  • Moon, M.A.;Kim, K.Y.
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03a
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    • pp.229-232
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    • 2008
  • This study presents a numerical procedure to optimize the shape of stepped circular pin-fins to enhance turbulent heat transfer. The KRG method is used as an optimization technique with Reynolds-averaged Navier-Stokes analysis of fluid flow and heat transfer with shear stress transport turbulent model. The objective function is defined as a linear combination of heat transfer and friction loss related terms with a weighting factor. Ten training points are obtained by Latin Hypercube Sampling for two design variables. Optimum shape has been successfully obtained with the increased objective function.

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SHAPE OPTIMIZATION OF INTERNAL COOLING CHANNEL WITH STEPPED CIRCULAR PIN-FINS (단을 가진 원형 핀휜이 부착된 냉각유로의 형상 최적 설계)

  • Moon, M.A.;Kim, K.Y.
    • 한국전산유체공학회:학술대회논문집
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    • 2008.10a
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    • pp.229-232
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    • 2008
  • This study presents a numerical procedure to optimize the shape of stepped circular pin-fins to enhance turbulent heat transfer. The KRG method is used as an optimization technique with Reynolds-averaged Navier-Stokes analysis of fluid flow and heat transfer with shear stress transport turbulent model. The objective function is defined as a linear combination of heat transfer and friction loss related terms with a weighting factor. Ten training points are obtained by Latin Hypercube Sampling for two design variables. Optimum shape has been successfully obtained with the increased objective function.

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