소성∙가공 (Transactions of Materials Processing)

  • 제12권4호
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  • Pages.348-357
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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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NURBS 곡면과 면적사상법을 이용한 압출 금형 곡면의 표현방법에 관한 연구

Investigation on the Description Method of Extrusion Die Surface using NURBS Surface and Area Mapping Method

  • 유동진 (대진대학교 컴퓨터응용기계설계학과) ;
  • 권혁홍 (대진대학교 기계설계공학과) ;
  • 임종훈 (대진대학교 기계설계공학과 대학원)
  • 발행 : 2003.07.01
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초록

In order to construct the extrusion die surface of arbitrarily shaped sections, an automatic surface construction method based on NURBS surface and area mapping method is proposed in the present work. A center point fur area mapping is determined by introducing the mapping concept based on constant area proportionality between original billet and final product. The characteristic points of inlet profile are determined using the traditional area mapping method and the root finding numerical method. The inlet and outlet profiles are precisely described with NURBS curves using the characteristic points of entry and exit sections. For the construction of NURBS surface, an interpolation method for the pre-determined two section curves has been developed to be used in the generation of interior control points and weights. To show the validity of the proposed method, automatic die surface generation is carried out for the several kinds of shaped sections.

키워드

참고문헌

  1. Proc. 3rd North American Met. Res. Conf. Pittsburgh Analysis of the Three-Dimensional Metal Forming in Extrusion of Shapes with Use of Dual Stream Functions Nagpal,V.;Altan,T.
  2. J. Eng. Ind. Trans. ASME Series B v.99 On the Solution of Three-Dimensional Metal Forming Processes Nagpal,V. https://doi.org/10.1115/1.3439289
  3. Int. J. Mech. Sci. v.20 Anaysis of Three-dimensional Extrusion of Section through Curved Dies by Conformal Transformation Yang,D.Y.;Lee,C.H. https://doi.org/10.1016/0020-7403(78)90012-7
  4. Annals of CIRP v.29 Aanlysis of Extrusion of Non-Circular Sections through Shaped Dies Gunasekera,J.S.;Hoshino,S. https://doi.org/10.1016/S0007-8506(07)61310-9
  5. Annals of CIRP v.31 no.1 Computer Aided Process Modeling of Hot Forging and Extrusion of Aluminum Alloys Gunasekera,J.S.;Gegel,H.L.;Malas,J.C.;Doraivelu,S.M. https://doi.org/10.1016/S0007-8506(07)63283-1
  6. Int. J. Mech. Sci. v.28 A generalized method for analysis of three-dimensional extrusion of arbitraily shaped sections Yang,D.Y.;Han,C.H.;Kim,M.U. https://doi.org/10.1016/0020-7403(86)90050-0
  7. Journal of Materials Processing Technology v.38 A simplified three-dimensional finite-element analysis of the non-axisymmetric extrusion processes Shin,H.W.;Kim,D.W.;Kim,N.S. https://doi.org/10.1016/0924-0136(93)90071-D
  8. Int. J. Num. Methods Eng. v.41 Die shape Optimal Design in Three-Dimensional Shape Metal Extusion by the Finite Element Method Joun,M.S.;Hwang,S.M. https://doi.org/10.1002/(SICI)1097-0207(19980130)41:2<311::AID-NME286>3.0.CO;2-2
  9. Int. J. Mech. Sci. v.42 Application of an upper bound method to off-centric extrusion of square sections, analysis and experiments Celik,K.F.;Chitkara,N.R. https://doi.org/10.1016/S0020-7403(98)00131-3
  10. Int. J. Mech. Sci. v.43 Extrusion of non-symmetric T-shaped sections, an analysis and some experiments Chitkara,N.R.;Celik,K.F. https://doi.org/10.1016/S0020-7403(01)00044-3
  11. Int. J. Mech. Sci. v.44 Extrusion of non-symmetric U-and I-shaped sections through ruled-surface dies : numerical simulations and some experiments Celik,K.F.;Chitkara,N.R. https://doi.org/10.1016/S0020-7403(01)00055-8
  12. 한국소성가공학회지 v.12 no.2 B-스플라인 곡면기법을 이용한 압출 금형 곡면의 표현방법에 관한 연구 유동진;임종훈
  13. 한국소성가공학회지 v.12 no.2 NURBS 곡면기법을 이용한 압출 금형 곡면의 표현방법에 관한 연구 유동진;임종훈
  14. The NURBS Book Les Piegl;Wayne Tiller

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