Massless Links with External Forces and Bushing Effect for Multibody Dynamic Analysis

  • Sohn, Jeong-Hyun (Graduate school, Pusan National University) ;
  • Yoo, Wan-Suk (School of Mechanical Engineering, Pusan National University) ;
  • Hong, Keum-Shik (School of Mechanical Engineering, Pusan National University) ;
  • Kim, Kwang-Suk (Department of Automobile Engineering, Inha Technical College)
  • Published : 2002.05.01

Abstract

When the contribution of lightweight components to the total energy of a system is small, tole inertia effects are sometimes ignored by replacing them to massless links. For example, a revolute-spherical massless link generates two kinematic constraint equations between adjacent bodies and allows four relative degrees of freedom. In this paper, to implement a massless link systematically in a computer program using the velocity transformation technique, the velocity transformation matrix of massless links is derived and numerically implemented. The velocity transformation matrix for a revolute-spherical massless link and a revolute-universal massless link are appeared as a 6$\times$4 matrix and a 6$\times$3 matrix, respectively. A massless link model in a suspension composite joint transmitting external forces is also developed and the numerical efficiency of the proposed model is compared to a conventional multibody model. For a massless link transmitting external forces, forces acting on links are resolved and transmitted to the attached points with a quasi-static assumption. Numerical examples are presented to verify the formulation.

Keywords

References

  1. Blundell, M. V., 1998, 'The Influence on Rubber Bush Compliance on Vehicle Suspension Movement,' Materials and Design, (19), pp. 29-37 https://doi.org/10.1016/S0261-3069(97)00101-5
  2. CADSI, 1995, DADS Revision 8.0 User's Manual, Oakdale, IA, U.S.A
  3. Haug, E. J., 1989, Computer-Aided Kinematics and Dynamics of Mechanical Systems, ALLYN AND BACON, Massachusetts, Volume I, pp. 69-71
  4. Kading, R. R. and Vanderploeg, M. J., 1985, Dynamic Analysis of Vehicles Using a Rigid Body Dynamics General Purpose Computer Code, Center for Computer Aided Design, The Univ. of Iowa, Iowa, Technical Report No. 85-6
  5. Kim, K. S. and Yoo, W. S. et al, 1999, 'Development of Vehicle Dynamics Program AutoDyn7(1)-Structure and Algorithm,' KSAE, 7(3), pp. 321-330
  6. Kim, S. S. and Vanderploeg, M. J., 1986, 'A General and Efficient Method Dynamic Analysis of Mechanical Systems using Velocity Transformations,' ASME Journal of Mechanisms, Transmissions, and Automation in Design, 108(2), pp. 176-182 https://doi.org/10.1115/1.3260799
  7. Lee, B. H., Yoo, W. S. and Kwak, B. M., 1993, 'A Systematic Formulation for Dynamics of Flexible Multibody Systems using Velocity Transformation Technique,' I Mech E, J. of Mechanical Engineering Science, Vol. 207 (C4), pp. 231-238
  8. M. D. I, 1994, ADAMS Version 8.0 User's Guide, Ann Arbor, MI, U.S.A.
  9. McCullough, M. K. and Haug, E. J., 1986, 'Dynamics of High Mobility Track Vehicles,' ASME Journal of Mechanism, Transmissions, and Automation in Design (108), pp. 189-196 https://doi.org/10.1115/1.3260801
  10. Meirovitch, L., 1967, Analsys Methods in Vibrations, Macmillan Publishing, New York, pp. 30-37
  11. Nikravesh, P. E. and Gim, G., 1993, 'Joint Coordinate Method for Analysis and Design of Multibody Systems : Part 1. System equations,' KSME Journal, 7(1), pp. 14-25 https://doi.org/10.1007/BF02953141
  12. Nikravesh, P. E., 1988, Computer-Aided Analysis of Mechanical Systems, Prentice-Hall, New Jersey, pp. 196-199
  13. Sohn, J. H. and Choi, S. T., et al, 2001, 'Development of the Massless Link Model including External Force and Bushing Deformation,' KSAE, 9(1), pp. 163-170