Dynamics of the Macpherson Strut Motor-Vehicle Suspension System in Point and Joint Coordinates

  • Attia, Hazem-Ali (Department of Mathematics, College of Science, King Saud University)
  • 발행 : 2003.09.01

초록

In this paper the dynamic analysis of the Macpherson strut motor-vehicle suspension system is presented. The equations of motion are formulated using a two-step transformation. Initially, the equations of motion are derived for a dynamically equivalent constrained system of particles that replaces the rigid bodies by applying Newton's second law The equations of motion are then transformed to a reduced set in terms of the relative joint variables. Use of both Cartesian and joint variables produces an efficient set of equations without loss of generality For open chains, this process automatically eliminates all of the non-working constraint forces and leads to an efficient solution and integration of the equations of motion. For closed loops, suitable joints should be cut and few cut-joints constraint equations should be included for each closed chain. The chosen suspension includes open and closed loops with quarter-car model. The results of the simulation indicate the simplicity and generality of the dynamic formulation.

키워드

참고문헌

  1. Attia, H. A. and Mohamed, M. G., 1997, 'Dynamic Modelling of a Three Degrees-of-Freedom Planar Platform-Type Manipulator,' Proceedings of the 1997 ASME Design Engineering Technical Conferences, ASME Design Automation Conference, pp. 1-11, Sacramento, California, USA, Sept. 14-17
  2. Attia, H. A., 1993, A Computer-Oriented Dynamical Formulation with Applications to Multibody Systems, Ph. D. Dissertation, Department of Engineering Mathematics and Physics, Faculty of Engineering, Cairo University
  3. Attia, H. A., 1996, 'Dynamic Analysis of a Vehicle with Semi-Trailing A-arms Suspensions,' Transactions of the CSME, Vol. 20, No. 2, pp. 175-186
  4. Attia, H. A., 1996, 'Dynamic Analysis of the Multi-Link Five-Point Suspension System Using Point and Joint Coordinates,' Acta Mechanica, Vol. 119, pp.221-228 https://doi.org/10.1007/BF01274249
  5. Attia, H. A., 1998, 'Computer Simulation of a Vehicle Dynamics,' Transactions of the CSME, Vol. 22, No.2, pp. 127-142
  6. Gear, C. W., 1988, 'Differential-Algebraic Equations Index Transformations,' SIAM Journal of Scientific and Statistical Computing 9, pp.39-47 https://doi.org/10.1137/0909004
  7. Kim, S. S. and Vanderploeg, M. J., 1985, 'QR Decomposition for State Space Representation of Constrained Mechanical Dynamic Systems,' ASME Journal of Mechanisms, Transmissions and Automation in Design, Vol. 108, pp. 183-188
  8. Kim, S. S. and Vanderploeg, M. J., 1986, 'A General and Efficient Method for Dynamic Analysis of Mechanical Systems Using Velocity Transformation,' ASME Journal of Mechanisms, Transmissions and Automation in Design, Vol. 108, No.2, pp. 176-182 https://doi.org/10.1115/1.3260799
  9. Nikravesh, P. E., 1988, Computer Aided Analysis of Mechanical Systems, Prentice-Hall, Englewood Cliffs, N. J.
  10. Nikravesh, P. E. and Attia, H. A., 1994, 'Construction of the Equations of Motion for Multi-body Dynamics Using Point and Joint Coordinates,' Computer-Aided Analysis of Rigid and Flexible Mechanical Systems, Kluwer academic publications, NATO ASI, Series E : Applied Sciences-Vol. 268, pp. 31-60
  11. Orlandea, N., Wiley, J. C. and Wehage, R., 1978, 'ADAMS2 : A Sparse Matrix Approach to the Dynamic Simulation of Two-Dimensional Mechanical Systems,' SAE Paper 780486
  12. Serna, M. A., Aviles, R. and Garcia de Jalon, J., 1982, 'Dynamic Analysis of Plane Mechanisms with Lower Pairs in Basic Coordinates,' Mechanism and Machine Theory, Vol. XX, pp. 397-403 https://doi.org/10.1016/0094-114X(82)90032-5
  13. Mechanism and Machine Theory v.XX Dynamic Analoysis of Plane Mechanisms with Lower Pairs in Basic Coordinates Serna,M.A.;Aviles,R.;Garcia de Jalon, J.