소성∙가공 (Transactions of Materials Processing)

  • 제12권2호
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  • Pages.142-150
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  • 2003
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  • 1225-696X(pISSN)
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  • 2287-6359(eISSN)
한국소성∙가공학회 (The Korean Society for Technology of Plasticity and materials processing)
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B-스플라인 곡면기법을 이용한 압출금형 곡면의 표현방법에 관한 연구

Investigation on the Description Method of Extrusion Die Surface using B-Spline Surface Scheme

  • 유동진 (대진대학교 컴퓨터응용기계설계학과) ;
  • 임종훈 (대진대학교 기계설계공학과)
  • 발행 : 2003.04.01
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초록

To construct the extrusion die surface, a B-Spline surface scheme based on the cubic B-Spline curve interpolation method is proposed in the present work. The inlet and outlet profiles are described with B-Spline curves by using the centripetal method for uniform parameterization. The interior control points of surface are generated using the derivative characteristics of B-Spline curve. A complete B-Spline surface is constructed by using appropriate coordinate transformation and knot deletion. In the present study, a quantitative measure for the control of surface is suggested by introducing the tangential vector and inclination angles at the inlet and outlet sections. To verify the validity of the proposed method, automatic surface generation is carried out for the various types of extrusion die surface.

키워드

참고문헌

  1. V.Nagpal and T.Altan, 1975, "Analysis of the Three-Dimensional Metal Forming in Extrusion of Shapes with Use of Dual Stream Functions", Proc. 3rd North American Met. Res. Conf. Pittsburgh, Penssylvenia, pp. 26-40.
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  5. J.S. Gunasekera, H.L. Gegel, J.C. Malas and S.M. Doraivelu, 1982, "Computer Aided Process Modeling of Hot Forging and Extrusion of Aluminum Alloys", Annals of CIRP, Vol. 31, No. 1, pp. 131-136. https://doi.org/10.1016/S0007-8506(07)63283-1
  6. M. Kiuchi, 1984, "Overall Analysis of Non-Axisymmetric Extrusion and Drawing", Proc. of 12th NAMRC, pp. 111-119.
  7. D.Y. Yang, C.H. Han and M.U. Kim, 1986, "A generalized method for analysis of three dimensional extrusion of arbitrarily shaped sections", Int. J. Mech. Sci., Vol. 28, pp. 517-534. https://doi.org/10.1016/0020-7403(86)90050-0
  8. K.F. Celik and N.R. Chitkara, 2000, "Application of an upper bound method to off-centric extrusion of square sections, analysis and experiments", Int. J. Mech. Sci., Vol. 42, pp. 321-345. https://doi.org/10.1016/S0020-7403(98)00131-3
  9. N.R. Chitkara and K.F. Celik, 2001, 'Extrusion of non-symmetric T shaped sections, an analysis and some experiments", Int. J. Mech. Sci., Vol. 43, pp. 2961-2987. https://doi.org/10.1016/S0020-7403(01)00044-3
  10. K.F. Celik and N.R. Chitkara, 2002, "Extrusion of non-symmetric U-and I shaped sections through ruled-surface dies : numerical simulations and some experiments", Int. J. Mech. Sci., Vol. 44, pp. 217-246. https://doi.org/10.1016/S0020-7403(01)00055-8
  11. Les Piegl and Wayne Tiller, 1995, The NURBS Book, Springer.
  12. 유동진, 윤정환, 2000, "박판 성형 해석을 위한 자동 툴 격자 생성에 관한 연구", 한국소성가공학회지, Vol. 9, No. 2, pp. 140-151.

피인용 문헌

  1. Automatic Surface Generation for Extrusion Die of Non-symmetric H-and U-shaped sections vol.12, pp.6, 2003, https://doi.org/10.5228/KSPP.2003.12.6.572
  2. Automatic Surface Generation for Extrusion Die of Arbitrarily Shaped Section using B-spline Surfaces and Scalar Field Theory vol.13, pp.1, 2004, https://doi.org/10.5228/KSPP.2004.13.1.033