Transactions of the Korean Society of Automotive Engineers (한국자동차공학회논문집)

The Korean Society of Automotive Engineers (한국자동차공학회)
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Shape Optimization of the Cross Section for a Non-circular Spring Wire of Valve Springs for an Automotive Engine

자동차 엔진 밸브 스프링에 사용되는 비원형 스프링 선의 단면 형상 최적화

  • Kim, Do-Joong (Department of Mechanical Engineering, University of Ulsan) ;
  • Kim, Young-Kyung (Graduate School of Mechanical Engineering, University of Ulsan)
  • 김도중 (울산대학교 기계공학부) ;
  • 김영경 (울산대학교 대학원 기계공학부)
  • Received : 2010.06.14
  • Accepted : 2010.08.24
  • Published : 2011.03.01
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Abstract

Valve springs with non-circular cross-section are widely used in automotive engines. Because of the reduced height, the oval cross-section provides some merits in its install height and stress distribution. This paper introduces a new method to generate optimal shape of the non-circular cross-section. For given width and height, arbitrary shape of the cross-section are described using the Hermite spline curves. Cross-section area and maximum stress level are chosen as performance indices, and nonlinear optimization problems are formulated with inequality constraints. Compared to a production spring wire, cross-section area can be reduced about 2.4 [%] without increasing maximum stress level. In addition, the other approach gives an optimum cross-section which reduces maximum stress level of 2.0 [%] without increasing cross-section area.

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References

  1. K. Nagaya, "Stress Analysis of a Cylindrical Coil Spring of Arbitrary Cross Section(1st)," Bulletin of JSME, Vol.29, No.252, pp.1673-1678, 1986. https://doi.org/10.1299/jsme1958.29.1673
  2. K. Nagaya, "Stresses in a Helical Spring of Arbitrary Cross Section with Consideration of End Effects," ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design, Vol.109, pp.289-301, 1987. https://doi.org/10.1115/1.3269434
  3. Honda Akihiro, Coil Spring, Japan Patent Office, 7053-J, 1989.
  4. SAE, Spring Design Manual, Part2, p.2, SAE Spring Committee, 1990.
  5. D. J. Kim and J. W. Lee, "A Study on the Cam Profile Synthesis Method for Automotive Engines Using Hermite Curve," Transactions of KSAE, Vol.3, No.5, pp.90-99, 1995.
  6. A. C. Ugural, Advanced Strength and Applied Elasticity 4/E, Prince Hall PTR, pp.83-84, New Jersey, 2003.
  7. Visual Numerics, Inc., IMSL FORTRAN Numerical Libraries, Microsoft Corp., 1990-2000.