• Title/Summary/Keyword: 사다리꼴 스플라인

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Study for Forging of Spline with Upper Bound Method (상계법을 이용한 스플라인 단조에 관한 연구)

  • 조해용;최재찬;최종웅;민규식
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1995.10a
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    • pp.37-47
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    • 1995
  • Forging of trapezoidal spline, serration and square spline with solid cylindrical billets and hollow one has been investigated by means of upper bound method. Kinematically admissible velocity fields for forging of splines have been proposed in this study. The half pitch of splines has been divided into deformation regons. The neutral surface is introduced into forging of splines with flat punch and, for each step, it is assumed as a circle with its radius rn upper bound solutions obtained obtained by proposed kinematically admissible velocity fields are useful to predict the loads for forging of splines.

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On the Earthwork Volume Decision Using Spline Surfaces (스플라인 곡면을 이용한 토공량 결정에 관한 연구)

  • 류재칠;이승훈;문두열
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.20 no.1
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    • pp.85-92
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    • 2002
  • The calculation of earthwork plays a major role in plan or design of many civil engineering projects, and thus it has become very important to advanced the accuracy of earthwork calculation. Current methods used for estimating the volume of pit excavation assumes that the ground profile between the grid points is linear(trapezoidal rule), or nonlinear(simpson's formulas). Generally speaking, the nonlinear profile formulas provide better accuracy than the linear profile formulas. However, all the formulas mentioned have a common drawback to ground profile, such as sharp corners or the grid points of any two straight lines. In this paper, we propose an algorithm of finding a spline surface which interpolates the given data and an appropriate method to calculate the earthwork. We present some computational results showing that our proposed method provides better accuracy than Chen and Lin's method.

Tear Extraction from Ultrasonic Images of Shoulder using Fuzzy Stretching and SOM Based Quantization (퍼지 스트레칭과 SOM 기반 양자화를 이용한 어깨 초음파 영상에서의 인대 손상 영역 추출)

  • Kim, Yoon-Ho;Kim, Min-Ha;Song, Yu-Seon;Kim, Kwang-Beak
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2017.01a
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    • pp.9-12
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    • 2017
  • 본 논문에서는 어깨 초음파 영상을 분석하여 인대 손상(Tear) 영역을 추출하는 방법을 제안한다. 제안된 방법은 초음파 영상에서 ROI(Region of Interest) 영역을 추출하고 추출된 ROI 영역에서 사다리꼴 형태의 소속 함수를 적용한 퍼지 스트레칭 기법을 이용하여 명암 대비를 높인다. 명암 대비가 조정된 ROI 영역에서 밝기 평균 이진화 기법을 적용하여 ROI 영역을 이진화한다. 이진화가 적용된 ROI 영역에서 워터쉐드 기법을 적용하여 연골과 힘줄의 후보 영역들을 추출한다. 추출된 연골과 힘줄의 후보 영역들 중에서 위에서 아래로 스캔하여 수평 너비가 가장 큰 영역에 해당하는 힘줄 영역의 상단 경계선을 추출한다. 그리고 아래에서 위로 스캔하여 수평 너비가 가장 큰 영역의 상단 경계에 스플라인 곡선을 적용하여 연골 영역의 상단 경계선을 추출한다. 힘줄 영역의 상단 경계선과 연골 영역의 상단 경계선 양 끝에 2차 함수 곡선을 적용하여 곡선 사이의 양자화할 영역을 추출한 후, SOM 기법을 적용하여 인대 손상 후보 영역을 양자화한다. 양자화된 인대 손상 후보 영역을 분석하여 어깨 힘줄의 손상 영역과 비손상 영역을 구분하고 인대 손상(Tear) 영역을 추출한다. 제안된 방법을 어깨 힘줄이 있는 초음파 영상을 대상으로 실험한 결과, 인대 손상(Tear) 영역이 비교적 정확히 추출되었다.

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Upper Bound Analysis on the Forging of Gear-Like Components (기어류 부품의 단조에 관한 상계해석)

  • Min, G.S.;Park, J.U.;Lee, H.C.
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.2
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    • pp.102-112
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    • 1997
  • This paper describes the method that can construct kinematically admissible velocity fields for forging of gear-like components which have tooth shape around the cylinder. The kinematically admissible velo- city fields for the various gear-like components, involute spur gear, trapezoidal spline, square spline, ser- ration and trochoidal gear, were constructed by pilling up the velocity components according to the shape of tooth and billet. The billets, of hollow and solid, were Al 2218 and 2024. To verify the method, the analyses and experiments were carried out and compared with each other. For analyses, the half pitches of com- ponents were divided into several deformation regions based on their tooth profile. A neutral surface was used to represent the inner flow of material during forging. Its location varied with the energy optimazation and its contour varied with the number of teeth. In experiment, the contour of material filling up the tooth zone is hyperbolic curve caused by the frictional drag on the interface of die-wall/workpiece but, in the analysis, it is an arc which retains the same contour during all forging operation.

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Optimum Design of Teeth Shapes of Rotating Serration and Spline-type Torque Converter Parts Operating in a High Temperature Fluids (고온에서 맞물려 회전하는 토크컨버터 부품간 열 및 토크를 고려한 치형상의 최적설계)

  • Lee, Dong-uk;Kim, Cheol;Kim, Jungjun;Shin, Sooncheol
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.41 no.11
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    • pp.1125-1130
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    • 2017
  • The tooth shapes of serration-type and spline-type reactors are optimized using finite element methods to improve the working life of the part and to lower the stress concentration during rotation resulting from contact with the outer race for a reactor operating with $170^{\circ}C$ transmission oil. The results of thermal expansion analyses between an Al reactor and the steel outer race indicate that, before optimization, the gap between the two parts increases further as the serration-type reactor expands by 0.1 mm and the spline-type one strains by 0.08 mm. Because of shape optimization, a trapezoidal shape is obtained from the initial triangular serration and the rectangular spline of the two reactors. The maximum von Mises stress of the serration-type convertor decreased by 24.5 %, and by 9.3 % for the spline-type convertor. In addition, there is a 13 % reduction in the axial thickness, as compared to the initially designed model.