An Experimental Study of Nonlinear Viscoelastic Bushing Model for Torsional Mode

비선형 점탄성 부싱모델의 회전방향모드에 대한 실험적 연구

  • Published : 2008.03.31

Abstract

A bushing is a device used in automotive suspension systems to reduce the load transmitted from the wheel to the frame of the vehicle. A bushing is a hollow cylinder, which is bonded to a solid steel shaft at its inner surface and a steel sleeve at its outer surface. The relation between the force and moment applied to the shaft and the relative deformation and rotational angle of a bushing exhibits features of viscoelasticity. Since a moment-rotational angle relation for a bushing is important for multibody dynamics numerical simulations, the simple relation between the moment and rotational angle has been derived from experiment. It is shown that the predictions by the proposed moment-rotational angle relation are in very good agreement with the experimental results.

자동차 부싱은 차체로 전달되는 하중을 줄여주는 역할을 하는 자동차 현가장치의 주요 부품으로 바깥쪽 슬리브와 안쪽의 축 사이에서 가운데가 비어 있는 실린더의 형상을 가진다. 차축에 작용되는 힘과 모멘트에 대한 부싱의 상대변위 및 변형각도는 점탄성 성질을 나타내며, 부싱에서 힘과 모멘트와 이에 대한 변위와 변형각도의 관계는 다물체 동역학 시뮬레이션에 매우 중요하다. 본 연구는 자동차 부싱의 회전방향 모드에 대한 모멘트와 변형각도의 점탄성 관계를 변형각도에 의존하는 모멘트 완화함수를 통하여 부싱모델을 완성하였으며, 완성된 점탄성 부싱 모델은 회전방향 모드에 대한 실험값과 비교하여 검증하였다.

Keywords

References

  1. Ford Durability Center at The University of Michigan Project Review (1995)
  2. L. Boltzmann, "Zur Theone der Elastischen Nachwirkungen", Sitzungsber Kai-serlich Akad. Wissen Math. Naturwissen; 70, 275 (1874)
  3. J. E. Adkins and A. N. Gent, "Load-deflection relations of rubber bush mountings", British Journal of Applied Physics, 5, 354 (1954) https://doi.org/10.1088/0508-3443/5/10/305
  4. B. D. Coleman and W. Noll, "Foundations of Linear Viscoelasticity", Reviews of Modem Physics, 33, 239 (1961) https://doi.org/10.1103/RevModPhys.33.239
  5. C. W. McGuirt and G. Lianis, ''Constitutive Equations for Viscoelastic Solids under Finite Uniaxial and Biaxial Deformations", Transactions of the Society of Rheology, 14:2, 117 (1970) https://doi.org/10.1122/1.549182
  6. K. N. Morman, B. G. Kao and J. C. Nagtegaal, "Finite Element Analysis of Viscoelastic Elastomeric Structures Vibrating About Nonlinear Statically Stressed Configurations", Fourth International Conference on Vehicle Structural Mechanics, Society of Automotive Engineers, Detroit, Michigan, 83 (1981)
  7. A. S. Wineman, T. VanDyke and S. Shi, ''A nonlinear viscoelastic model for one dimensional response of elastomeric bushings", International Journal of Mechanical Sciences, 40, 1295 (1998) https://doi.org/10.1016/S0020-7403(98)00023-X
  8. S. B. Lee, ''A Study of A Nonlinear Viscoelastic Model of Elastomeric Bushing Response", Ph. D. Thesis, The University of Michigan, Ann Arbor, 1997
  9. S. B. Lee, "A Study of Lianis Model for Elastomeric Bushing in Axial Mode", Elastomer, 37:3, 151 (2002)
  10. S. J. Kim, S. Y. Lee and S. B. Lee, "An Experimental Study of Pipkin-Rogers Model for Automotive Bushing", Journal of the Korean Society of Precision Engineering, 22:11, 118 (2005)
  11. A. C. Pipkin and T. G. Rogers, ''A Non-Linear Integral Representation for Viscoelastic behavior", J of the Mechanics and Physics of Solids, 16, 59 (1968) https://doi.org/10.1016/0022-5096(68)90016-1
  12. J. E. Dennis, "Nonlinear Least Squares and Equations", The State of the Art in Numerical Analysis, Academic Press, New York, 1977