• Title/Summary/Keyword: Cubic spline

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Dynamic Contact Analysis of Spur Gears (평기어의 동접촉 해석)

  • Lee, Ki-Su;Jang, Tae-Sa
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.6
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    • pp.148-159
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    • 1999
  • A numerical method is presented for the dynamic analysis of spur gears rotating with very high angular speeds. For an efficient computation each gear is assumed to consist of a rotating rigid disk and an elastic tooth having mass, and finite element formulations are used for the equations of motion of the tooth. The geometric constraint is imposed between the rigid disk and the elastic tooth to fix them, and contact condition is imposed between the meshing teeth of the gears. At each iteration of each time step the Lagrange multiplier and contact force are revised by using the constraint error vector, and then the whole equations of motion are time integrated with the given Lagrange multiplier and contact force. For the accurate solution the velocity and acceleration constraints as well as the displacement constraint are satisfied by the monotone reductions of the constraint error vectors. Computing procedures associated with the iterative schemes are explained and numerical simulations are conducted with the spur gears.

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Assessment of Interpolation Schemes in the Window Deformation PIV (조사구간 윈도우 변형을 이용한 PIV에서 보간법 평가)

  • Kim, Byoung-Jae;Sung, Hyung-Jin
    • Journal of the Korean Society of Visualization
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    • v.4 no.2
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    • pp.59-68
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    • 2006
  • We have evaluated the performances of the following six interpolation schemes used for win-dow deformation in particle image velocimetry (PIV): the linear, quadratic, B-spline, cubic, sinc, Lagrange interpolations. Artificially generated images comprised of particles of diameter in a range pixel were investigated. Three particle diameters were selected for detailed evaluation: pixel with a constant particle concentration $0.02particle/pixel^2$. Two flow patterns were considered: uniform and shear flows. The mean and random errors, and the computation times of the interpolation schemes were determined and compared.

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An Automatic Drafting of the Apparel Pattern for an Easy Order System - Drawing of Full Pleated Skirt Design and Development of a Curve Function - (Easy Order System을 위한 의류 패턴의 자동 제도 연구 -Full pleated skirt 디자인의 제도 및 곡선 함수 설계-)

  • 전은경;김혜경
    • Journal of the Korean Society of Clothing and Textiles
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    • v.22 no.3
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    • pp.303-311
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    • 1998
  • We developed a pattern drafting computer program using a popular CAD program for the purpose of the automatic manufacturing and education based on the concept of the easy -order-system which can easily reflect body characteristics and design favors of individuals to the ready-made clothing. The programs were written in Auto LISP which can utilise most of frictions of the Auto CAD, and the result of the design for an full-pleated skirt was shown. Also, we devised an easy way to set the location of reference points by inputting of tangential angle only for the use of the cubic spline curve which can represent body shape very well. Finally, by marking down all of symbols needed in manufacturing process, we completed the automatic pattern drafting program to make it useful as an industrial pattern without any amendment or correction in cutting and sewing operation.

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The static thrust and normal force calculation of a Hybrid type LPM as a servo actuator (서보 액튜레이터용 Hybrid형 LPM의 정추력 및 수직력 계산)

  • Cho, Yun-Hyou;Koo, Dae-Hyon;Lee, Jae-Bong
    • Proceedings of the KIEE Conference
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    • 1994.07a
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    • pp.43-45
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    • 1994
  • This paper proposes the new method to calculate the static thrust and normal force of a hybrid type double-sided linear pulse motor by the coenergy which considered the magnetic nonlinealities. In the process of the computation, the nonlinear characteristics of the magnetic material were interpolated by the cubic spline method. And, to investigate the characteristics of the hybrid type DLPM, the static thrust and the normal force is shown as a function of displacement, input current and air airgap length. Also the simulation values are compared with the experimental ones obtained from a hybrid type DLPM.

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Enhancing Motion Capture Data (모션 캡쳐 데이터 향상 기법)

  • 최광진
    • Proceedings of the Korea Society for Simulation Conference
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    • 1998.10a
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    • pp.120-123
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    • 1998
  • In animating an articulated entity with motion capture data, especially when the reconstruction is based on forward kinematics, there could be large discrepancies at the end effector. The small errors in joint angles tend to be amplified as the forward kinematics positioning progresses toward the end effector. In this paper, we present an algorithm that enhances the motion capture data to reduce positional errors at the end effector. The process is optimized so that the characteristics of the original joint angle data is preserved in the resulting motion. The frames at which the end-effector position needs to be accurate are designated as“keyframes”(e.g. starting and ending frames). In the algorithm, corrections by inverse kinematics are performed at sparse keyframes and they are interpolated with a cubic spline which produces a curve best approximating the measured joint angles. The experiment proves that our algorithm is a valuable tool to improve measured motion especially when end-effector trajectory contains a special goal.

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A Research on the Added Resistance Due to Weather at Sea (해상에서의 기상상태에 기인된 부가저항에 관한 고찰)

  • ;Townsin, R. L.
    • Journal of Ocean Engineering and Technology
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    • v.7 no.1
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    • pp.56-61
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    • 1993
  • Standard values in graphic porms are presented for the ratio of added wave resistance to the sun of added wave and wind resistances in head sea for three ship types, tanker, container ship and passenger ship. The effect of ship length on the ratio defined above is investigated for the three ship types. Obique sea added resistance is determined using wave direction reduction factor. The factor is obtained from model test results and cubic spline interpolation technique.

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Numerical Viscous Flow Analysis of Ducted Marine Propeller (Ducted Marine Propeller의 점성 유동 수치 해석)

  • Yu Hye-Ran;Jung Young-Rae;Park Warn-Gyu
    • 한국전산유체공학회:학술대회논문집
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    • 2003.08a
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    • pp.188-193
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    • 2003
  • The present work solved 3D incompressible RANS equation on a rotating, non-orthogonal multi-blocked grid system to efficiently analyze ducted marine propulsor with rotor-stator interaction. To handle the interface boundary between a rotor and a stator maintaining the conservative property, the sliding multiblock technique using the cubic spline interpolation and the bilinear interpolation technique were applied. To validate present code, a turbine flow having rotor- stator interaction was simulated. Time averaged pressure coefficients were compared with experiments and good agreement was obtained. After the code validation, the flowfield around a single-stage ducted marine propulsor was simulated.

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Form Error Analysis of a Cam Disk Profile Based on ISO Minimum Zone Criterion (ISO 최소영역법에 기준한 캠 디스크의 형상 오차 해석)

  • Kang, Jae-Gwan;Kim, Won-Il
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.5 no.3
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    • pp.80-85
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    • 2006
  • In an effort to reduce the evaluation time of the precision of manufactured disk cams, an effective measuring method with an exclusively built profile-measuring machine and subsequent data analysis procedure is proposed. The design and measuring data are interpolated by cubic spline curves to compute the precision error which is defined by the maximum and minimum distances between two curves. The minimum zone criterion of ISO is employed to evaluate the form error, and genetic algorithm is used to search the orientation and location of design data for the measured data which minimizes the form error. The proposed system was applied to marine engine cams, and it shows that the form error is reduced to 30% down compared with the method which minimizes the form error with the assumption that the centers of measured data design cam curve are identical.

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A Study of Parametric Curve Interpolator in CAD/CAM Ststem (CAD/CAM 시스템에서 매개변수형 곡선본간기에 관한 연구)

  • 김희송
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.5 no.4
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    • pp.47-52
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    • 1996
  • The interpolator is very important in CNC machines. This study proposed a parametric curve interpolator(PCI) which can be used for machining any sculptured surface represented in a parametric form and generates commands for tool motion between CAD data points according to given accuracy demands. The proposed interpolator is superior to the existing linear interpolator in accuracy, feed rate and acceleration continuity. Moreover in comparison to the recently developed cubic spline interpolator, the PCI has the capability of handling higher order parametric curves and also ensures precise tracking in the velocity domain. Results from real time simulations and experiments on open architecture CNC machines equipped with the proposed interpolator are presented to show its practical capagility. It is believed that the combination of the proposed interpolator and the open architecture machine controller further advances the area of command generation which is an important aspect of CAD/CAM.

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Measurement Method of Deep Cervical Flexors from Cervical Ultrasound Images (경추 초음파 영상에서의 심부 경부 굴곡근 두께 측정 방법)

  • Kim, Kwang-Baek;Hong, Dong-Jin
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2012.07a
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    • pp.35-38
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    • 2012
  • 본 논문에서는 경추 초음파 DICOM 영상에서 심부 경부 굴곡근의 하단 후보 경계선을 이용하여 경추가 위치하는 후보 영역을 추출한다. 추출한 경추 후보 영역에 퍼지 시그마 이진화 기법을 적용하여 경추 객체를 추출한다. 심부 경부 굴곡근의 두께를 측정하기 위한 측정 기준점을 정확하게 추출하기 위해 심부 경부 굴곡근의 하단 경계선의 위치 정보를 이용하여 심부 경부 굴곡근내의 지방이 경추 객체로 추출되는 문제점을 개선하고, 개선된 영상에서 경추 객체들이 가진 픽셀 좌표를 이용하여 측정 기준점을 설정한다. 그 후, 객체들의 위치 정보를 이용하여 측정 기준점을 다시 설정한다. 심부 경부 굴곡근 영역과 측정 기준점을 이용하여 심부 경부 굴곡근의 두께를 측정한다. 제안된 방법을 경추 초음파 DICOM 영상에 적용하여 심부 경부 굴곡근의 두께를 측정한 결과, 기존의 심부 경부 굴곡근 두께 측정 방법보다 정확한 결과를 얻을 수 있는 것을 확인하였다.

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