• Title/Summary/Keyword: Radius error

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Analysis of Sheet Metal Forming for Non-Axisymmetric Deep Drawing Products (비축대칭 디프 드로잉 제품의 박판 성형 해석)

  • 박동환;배원락;강성수
    • Transactions of Materials Processing
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    • v.10 no.3
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    • pp.185-192
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    • 2001
  • In order to obtain the optimal products in deep drawing process, elliptical deep drawing tests were carried out with several shape radii of the punch and die. As parameters on testing, shape radii of the punch and die were selected. In addition, the conventional shape radii have been determined by trial-and-error using industrial experience and post processing test, and only approximate shape radii of the punch and die have been presented. The optimal shape radii of the punch and die in elliptical deep drawing process with biaxisymmetric blank shape are proposed. In this study, we suggest the appropriate conditions to be applicable to the actual manufacturing processes through the experiment and finite element method.

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LOCAL CONVERGENCE OF THE SECANT METHOD UPPER $H{\ddot{O}}LDER$ CONTINUOUS DIVIDED DIFFERENCES

  • Argyros, Ioannis K.
    • East Asian mathematical journal
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    • v.24 no.1
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    • pp.21-25
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    • 2008
  • The semilocal convergence of the secant method under $H{\ddot{o}}lder$ continuous divided differences in a Banach space setting for solving nonlinear equations has been examined by us in [3]. The local convergence was recently examined in [4]. Motivated by optimization considerations and using the same hypotheses but more precise estimates than in [4] we provide a local convergence analysis with the following advantages: larger radius of convergence and finer error estimates on the distances involved. The results can be used for projection methods, to develop the cheapest possible mesh refinement strategies and to solve equations involving autonomous differential equations [1], [4], [7], [8].

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AN ERROR ANALYSIS FOR A CERTAIN CLASS OF ITERATIVE METHODS

  • Argyros, Ioannis K.
    • Journal of applied mathematics & informatics
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    • v.8 no.3
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    • pp.743-753
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    • 2001
  • We provide local convergence results in affine form for inexact Newton-like as well as quasi-Newton iterative methods in a Banach space setting. We use hypotheses on the second or on the first and mth Frechet-derivative (m≥2 an integer) of the operator involved. Our results allow a wider choice of starting points since our radius of convergence can be larger than the corresponding one given in earlier results using hypotheses on the first-Frechet-derivative only. A numerical example is provided to illustrate this fact. Our results apply when the method is, for example, a difference Newton-like or update-Newton method. Furthermore, our results have direct applications to the solution of autonomous differential equations.

A Study on the Table Deflection by Stop State and Move Speed at Loaded Load (하중 게재시 정지상태 및 이송속도에 따른 테이블 처짐에 관한 연구)

  • 이지용;김태호;정영덕;박정보;김순경;전언찬
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.06a
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    • pp.1117-1122
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    • 2003
  • The paper on table deflection by stop state and move speed at loaded load, and the table deflection measured of static load. It is developed program for Date correction of LSM(Least Square Method). We experimented the method as following. The first a Laser setting and scan Experimental device measured curvature radius, The second A center of measurement object and curvature radius taking of LSC.

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A Stud on Punch and Die Shape Radii of Non-Axisymmetric Deep Drawing Product (비축대층 디프 드로잉 제품의 펀치 및 다이 형상반경에 관한 연구)

  • 배원락
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2000.04a
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    • pp.92-95
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    • 2000
  • In order to obtain the optimal products in deep drawing process elliptical deep drawing tests were carried out with several shape radii of the punch and die. As parameters on testing shape radii of the punch and die were selected, In addition the conventional shape radii have been determined by trial=and-error using industrial experience and post processing test and only approximate shape radii of the punch and die have been presented. The optimal shape radii of the punch and die in elliptical deep drawing process with biaxisymmetric blank shape are proposed. In this study we suggest the appropriate conditions to be applicable to the catual manufacturing processes through the experiment and finite element method.

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Wolf-Rayet star evolution with clumpy envelope structure

  • Jang, Hye-Eun;Yoon, Sung-Chul
    • The Bulletin of The Korean Astronomical Society
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    • v.41 no.1
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    • pp.42.2-42.2
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    • 2016
  • It is well known that theoretical models of Wolf-Rayet stars are not consistent with observational data in terms of temperature and stellar radius. Recent study in analytical and numerical simulations show the importance of density inhomogeneity in stellar envelope. Using 1-dimensional numerical simulations, we study how such clumpiness arisen over convective surface of Wolf-Rayet stars affect their evolutionary path. Starting from pure helium star models, we constructed 21 different initial conditions by varying stellar mass, metallicity, and the clumpiness of the sub-surface convection zone. We run the simulations until the oxygen-burning is reached and find that the influence of the clumpiness is sensitive to the initial metallicity. Our models with high metallicity including the effect of the density inhomogeneity can roughly explain the observed properties of Wolf-Rayet stars such as stellar radius and temperature. By contrast, despite a considerable amount of density inhomogeneity is given, low metallicity models could not fully explain observations. To understand the inconsistency in low metallicity models, detailed study with improved model is required, taking account of the error range of the observations.

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Maximum cavity radius prediction model generated by drop impact in an inclined bath (기울어진 수조에 액적 충돌로 발생한 최대 공동 예측 모델)

  • Lee, Yeawan;Kim, Youngdo;Kim, Hyoungsoo
    • Journal of the Korean Society of Visualization
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    • v.17 no.2
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    • pp.83-89
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    • 2019
  • In this study, we show the maximum cavity radius prediction model that a droplet impacts an inclined bath. Surface tensions, viscosities, inclination angles of a bottom substrate, droplet diameters, falling heights of the droplet are varied for the experiment. We experimentally observe that the cavity grows in hemispherical shape like the cavity formed in a deep bath although the depth of the bath is non-uniform due to an inclined bottom substrate. We derive two theoretical models to predict the experimental results of the fully developed cavity. Although each model has error, we observe that qualitatively theoretical model predicts the trend of experiment results well.

IMPROVED LOCAL CONVERGENCE ANALYSIS FOR A THREE POINT METHOD OF CONVERGENCE ORDER 1.839

  • Argyros, Ioannis K.;Cho, Yeol Je;George, Santhosh
    • Bulletin of the Korean Mathematical Society
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    • v.56 no.3
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    • pp.621-629
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    • 2019
  • In this paper, we present a local convergence analysis of a three point method with convergence order $1.839{\ldots}$ for approximating a locally unique solution of a nonlinear operator equation in setting of Banach spaces. Using weaker hypotheses than in earlier studies, we obtain: larger radius of convergence and more precise error estimates on the distances involved. Finally, numerical examples are used to show the advantages of the main results over earlier results.

Localization of a High-speed Mobile Robot Using Ultrasonic/RF Sensor and Global Features (RF/초음파센서와 이동특성에 기반한 고속 이동로봇의 위치추정기법)

  • Lee, Soo-Sung;Choi, Mun-Gyu;Park, Jae-Hyun;Lee, Jang-Myung
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.7
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    • pp.734-741
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    • 2009
  • A new localization algorithm is proposed for a fast moving mobile robot, which utilizes only one beacon and the global features of the differential-driving mobile robot. It takes a relatively long time to localize a mobile robot with active beacon sensors since the distance to the beacon is measured by the traveling time of the ultrasonic signal. When the mobile robot is moving slowly the measurement time does not yield a high error. At a higher mobile robot speed, however, the localization error becomes too large to locate the mobile robot. Therefore, in high-speed mobile robot operations, instead of using two or more active beacons for localization, only one active beacon and the global features of the mobile robot are used to localize the mobile robot in this research. The two global features are the radius and center of the rotational motion for the differential-driving mobile robot which generally describe motion of the mobile robot and are used for the trace prediction of the mobile robot. In high speed operations the localizer finds an intersection point of this predicted trace and a circle which is centered at the beacon and has the radius of the distance between the mobile robot and the beacon. This new approach resolves the large localization error caused by the high speed of the mobile robot. The performance of the new localization algorithm has been verified through the experiments with a high-speed mobile robot.

Unequal Distance Sampling Technique to Design Velocity-Type Respiratory Air Flow Transducer (속도 계측형 호흡기류센서 설계를 위한 비균등 샘플링 기법)

  • 김경아;이태수;차은종
    • Journal of Biomedical Engineering Research
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    • v.25 no.5
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    • pp.351-359
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    • 2004
  • Velocity-type repisratory air flow transducer measures dynamic pressure converted from air velocity based on the we1l-known Bernoulli's principle. It requires multiple velocity sampling holes on the flow plane. Measurement error theoretica1ly estimated by computer simulation was demonstrated to significantly reduce by unequally locating the velocity sampling holes. The flow plane was divided into multiple equi-area rings and the sampling holes were located on the circles also equally dividing each ring's area, which decreased measurement error down to 1/5 of the simple equi-radius ring division method. Also, less than 1 % relative error was estimated with 4 or more sampling holes. The present technique was less sensitive by <1/2 to the velocity profile change compared to the euqi-radius sampling. Therefore, the present unequal distance velocity sampling technique should be of great use to design the structure of the velocity-type respiratory air flow transducer.