The Shape Optimization of a Torque Converter Lock-up Clutch Using the B-Spline and Finite Element Mesh Smoothing

B-Spline 및 유한요소 유연화법 활용 자동차 록업클러치의 형상최적화

  • Hyun, Seok-Jeong (School of Mechanical Engineering, Kyungpook National University) ;
  • Kim, Cheol (School of Mechanical Engineering, Kyungpook National University) ;
  • Son, Jong-Ho (School of Mechanical Engineering, Kyungpook National University) ;
  • Shim, Se-Hyun (School of Mechanical Engineering, Kyungpook National University) ;
  • Jang, Jae-Duk (R&D Center, Korea Powertrain Co.) ;
  • Joo, In-Sik (R&D Center, Korea Powertrain Co.)
  • Published : 2004.05.01

Abstract

A FEM-based efficient method is developed for the shape optimization of 2-D structures. The combined SLP and Simplex method are coupled with finite element analysis. Selected set of master nodes on the design boundaries are employed as design variables and assigned to move towards their normal directions. The other nodes along the design boundaries are grouped into the master node. By interpolating the repositioned master nodes, the B-spline curves are formed so that the rest mid-nodes efficiently settle down on the B-spline curves. Mesh smoothing scheme is also applied for the nodes on the design boundary to maintain most finite elements in good quality. Finally, a numerical implementation of optimum design of an automobile torque converter piston subjected to pressure and centrifugal loads is presented. The results shows additional weight up to 13% may be saved after the shape optimization.

Keywords

References

  1. Optimum Structural Design Shape Optimization and Seqential Linear Programming O.C.Zienkiewicz;J.S.Campbell;R.H.Gallagher(ed.);O.C.Zeinkeiwicz(ed.)
  2. Int. J. Num. Meth. Engrg. v.23 Structural Optimization: A New Dual Method using Mixed Variables C.Fluery;B.braibant https://doi.org/10.1002/nme.1620230307
  3. AIAA J. v.23 no.3 Structural Shape Optimization with Geometric Problem Description and Adaptive Mesh Refinement J.A.Bennett;M.E.Botkin https://doi.org/10.2514/3.8935
  4. Mathematical Elements for Computer Graphics(2nd ed.) D.F.Rogers;J.A.Adams
  5. Computer Graphics(2nd ed.) V.B.Anand
  6. Computers & Structures v.24 Shape Optimization of Structures: A Literature Survey Y.Ding https://doi.org/10.1016/0045-7949(86)90307-X
  7. Numerical Recipes in Fortran W.H.Press;S.A.Teukolsky;W.T.Vetterling;B.P.Flannery
  8. New directions in Optimum Structural Design E.Atrek;R.H.Gallagher;K.M.Ragsdellp;O.C.Zienkiewicz
  9. Proceedings of NUMIFORM '98 the 6th International Conference on Numerical Methods in Industrial Forming Process S.Hyun;L.E.Lindgren
  10. Communications in Numerical Methods in Engineering v.17 Smoothing and Adaptive Remeshing Scheme for Graded Element S.Hyun;L.E.Lindgren https://doi.org/10.1002/1099-0887(200101)17:1<1::AID-CNM380>3.0.CO;2-#
  11. AIAA J. v.27 no.1 Shape Optimal design Using Fictious Loads S.D.Rajan;A.D.Belegundu https://doi.org/10.2514/3.10100
  12. Transactions of KSAE v.11 no.3 Shape Optimization for Improving Fatigue Life of a Lower Control Arm using the Experimental Design M.S.Kim;C.W.Lee;S.H.Son;H.J.Lim;S.J.Ha