Journal of KSNVE (소음진동)

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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Development of Helical Rod Finite Element for the Dynamic Analysis of Cylindrical Springs

원통형 스프링의 동특성 해석을 위한 헬리컬 로드 유한요소 개발

  • 김도중 (울산대학교 기계자동차공학부) ;
  • 이덕영 (대구대학교 자동차산업공학부)
  • Published : 1999.06.01
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Abstract

A 3-dimensional helical rod finite element is devloped for the dynamic analysis of cylindrical springs. Element matrices are formulated using the Galerkin's method, and an exact static deflection curve is used as a shape function. Because the resultant mass and stiffness matrices of the model are symmetric, effective direct solution method can easily be applied for analysing dynamic behavior of springs. The model is used to analyze the dynamic characteristics of a typical automotive valve spring. The effectiveness of the developed helical rod element is verified by comparing the results of the proposed method with those of a classical theory and experiments. The helical element developed in this study is superior to a straight beam element and a 2-dimensional curved beam element for this problem.

Keywords

References

  1. Mechanical Springs Wahl, A.M.
  2. On the Elastic Waves Propagated along Coil Springs v.6 Yoshimura, Y.;Murata, Y.
  3. International Journal of Mechanical Sceience v.8 On Elastic Wave Propagation in Helical Springs Wittrick, W.H.
  4. Mechanica The Dynamic Coupling of Torsional and Flexural Strains in Cylindrical Helical Springs Pertra, L.D.
  5. Mechanica Transverse Vibrations of Cylindrical Helical Springs Guido, A.R.;Pietra, L.D.;Valle, S.D.
  6. International Journal of Mechanical Science no.22;5-A Finite Elements for Dynamical Analysis of Helical Roads Mottershead, J.E.
  7. Bulletin of JSME v.26 no.221 An Finite Element Approach to Dynamic Characteristics of Helical Spring Sawanobori, T.;Fukushima, Y.
  8. Internaitonal Journal of Mechanical Science v.28 no.2 An Exact Solution for the Vibration of Helical Springs Using a Bernoulli-Euler Model Pearson, D.;Wittrick, W.H.
  9. Journal of Mechanical Design v.112 Three-Dimensional Dynamic Simulation of Helical Compression Springs Lin, Y.;Pisano, A.P.
  10. Journal of Mechanical Design v.112 Dynamic Analysis of a Valve Spring with a Coulomb-Friction Damper Paranjpe, R.S.
  11. SAE 890619 An Efficient Model for Valvetrain and Spring Dynamics Philps, P.J.;Schamel A.R.;Meyer, J.
  12. SAE 960351 Dynamic Model and Computer Simulation of Valve Train Assemblies with Hydraulic Lash Adjuster Zou, D.;McCormick, H.E.
  13. Advanced Calculus Taylor, A.E.;Mann, W.R.
  14. Analytical Methods in Vibrations Meirovitch, L.
  15. Concepts and Applications of Finite Element Analysis Cook, R. D.