Transactions of Materials Processing (소성∙가공)

The Korean Society for Technology of Plasticity and materials processing (한국소성∙가공학회)
권호 표지
DOI QR코드

DOI QR Code

Automatic Surface Generation for Extrusion Die of Arbitrarily Shaped Section using B-spline Surfaces and Scalar Field Theory

B-스플라인 곡면과 스칼라장 이론을 이용한 임의의 형상의 압출금형 곡면의 자동생성

  • Published : 2004.02.01
Download PDF
⟨ Previous Next ⟩

Abstract

A new approach for the design of extrusion die surface of arbitrarily shaped section is presented. In order to generate the extrusion die surface. an automatic surface construction method based on B-spline surface and scalar field theory is proposed. The isothermal lines and stream lines designed in the scalar field are introduced to find the control points which are used in constructing B-spline surfaces. Intersected points between the isothermal lines and stream lines are used to construct B-spline surfaces. The inlet and outlet profiles are precisely described with B-spline curves by using the centripetal method for uniform parameterization. The extrusion die surface is generated by using the cubic curve interpolation in the u- and v-directions. A quantitative measure for the control of surface is suggested by introducing the tangential vectors at the inlet and outlet sections. To verify the validity and effectiveness of the proposed method, automatic surface generation is carried out for extrusion dies of arbitrarily shaped sections.

Keywords

References

  1. Proceeding of 1UTAM Symposium A New Approach for Generalized Three-Dimensional Extrusion of Sections from Round Billets by Conformal transformation D.Y.Yang;M.U.Kim;C.H.Lee
  2. Annals of CIRP v.29 Analysis of Extrusion of Non-Circular Sections through Shaped Dies J.S.Gunasekera;S.Hoshino https://doi.org/10.1016/S0007-8506(07)61310-9
  3. Annals of CIRP v.31 no.1 Computer Aided Process Modeling of Hot Forging and Extrusion of Aluminum Alloys J.S.Gunasekera;H.L.Gegel;J.C.Malas;Doraivelu,S.M. https://doi.org/10.1016/S0007-8506(07)63283-1
  4. Int. J. Mech. Sci v.28 A generalized method for analysis of three-dimensional extrution of arbitrarily shaped sections D.Y.Yang;C.H.Han;M.U.Kim. https://doi.org/10.1016/0020-7403(86)90050-0
  5. Journal of materials Processing Technology v.38 A simplified three-dimensional finite-element analysis of the non-axisymmetric extrusion processes H.W.Shin;D.W.Kim;N.S.Kim. https://doi.org/10.1016/0924-0136(93)90071-D
  6. Int. J. Num. Methodes Eng. v.41 Die shape Opti-mal Design in Three-Dimensional Shape Metal Extrusion by the Finite Element Method M.S.Joun;S.M.Hwang https://doi.org/10.1002/(SICI)1097-0207(19980130)41:2<311::AID-NME286>3.0.CO;2-2
  7. Int. J. Mech. Sci. v.42 Application of an upper bound method to off-centric extrusion of square sections, analysis and experiments K.F.Celik;N.R.Chitkara https://doi.org/10.1016/S0020-7403(98)00131-3
  8. Int. J. Mech. Sci. v.43 Extrusion of non-symmetric T-shaped sections. an analysis and someexperiments N.R.Chitkara;K.F.Celik https://doi.org/10.1016/S0020-7403(01)00044-3
  9. Int. J. Mech. Sci. v.44 Extrusion of non-sysmmetric U-and I-shaped section through rule d-surface dies : numerical simulation and some experiments K.F.Celik;N.R.Chitkara https://doi.org/10.1016/S0020-7403(01)00055-8
  10. 한국소성가공학회지 v.12 no.2 B-스플라인 곡면기법을 이용한 압출 금형 곡면의 표현방법에 관한 연구 유동진;임종훈 https://doi.org/10.5228/KSPP.2003.12.2.142
  11. 한국소성가공학회지 v.12 no.2 NURBS 곡면기법을 이용한 압출 금형 곡면의 표현방법에 관한 연구 유동진;임종훈 https://doi.org/10.5228/KSPP.2003.12.2.151
  12. 한국소성가공학회지 v.12 no.4 NURBS 곡면과 면적사상법을 이용한 압출 금형 곡면의 표현방법에 관한 연구 유동진;권혁홍;임종훈 https://doi.org/10.5228/KSPP.2003.12.4.348
  13. The NURBS Book Les Piegl;Wayne Tiller
  14. 한국소성가공학회지 v.9 no.2 박판성형 해석을 위한 자동 툴 격자생성에 관한 연구 유동진;윤정환
  15. Introduction to Finite Elements in Engineering R.Tirupathi;Chandrupatla;D.Ashok;Belegundu

Cited by

  1. Roll design method using virtual flow line for multi-stage profile rolling process vol.32, pp.10, 2018, https://doi.org/10.1007/s12206-018-0928-8