Steady-State Equilibrium Analysis of a Multibody System Driven by Constant Generalized Speeds

  • Park, Dong-Hwan (School of Mechanical Engineering, Hanyang University) ;
  • Park, Jung-Hun (School of Mechanical Engineering, Hanyang University) ;
  • Yoo, Hong-Hee (School of Mechanical Engineering, Hanyang University)
  • Published : 2002.10.01

Abstract

A formulation which seeks steady-state equilibrium positions of constrained multibody systems driven by constant generalized speeds is presented in this paper. Since the relative coordinates are employed, constraint equations at cut joints are incorporated into the formulation. To obtain the steady-state equilibrium position of a multibody system, nonlinear equations are derived and solved iteratively. The nonlinear equations consist of the force equilibrium equations and the kinematic constraint equations. To verify the effectiveness of the proposed formulation, two numerical examples are solved and the results are compared with those of a commercial program.

Keywords

References

  1. ADAMS (Version 11.0) User's Guide, 2001, Mechanical Dynamics, Inc.
  2. Bae, D. S. and Haug, E. J., 1987, 'A Recursive Formulation for Constrained Mechanical System Dynamics: Part I. Open Loop Systems,' Mech. Struct. & Mach., Vol. 15, No. 3, pp. 359-382 https://doi.org/10.1080/08905458708905124
  3. Bae, D. S. and Haug, E. J., 1987, 'A Recursive Formulation for Constrained Mechanical System Dynamics: Part II. Closed Loop Systems,' Mech. Struct. & Mach., Vol. 15, No. 4, pp. 481-506 https://doi.org/10.1080/08905458708905130
  4. Haug, E. J., 1989, Computer-Aided Kinematics and Dynamics of Mechanical Systems, Volumn I: Basic Method, ALLYN AND BACON
  5. Kane, T. R. and Levinson, D. A., 1985, Dynamics : Theory and Applications, McGraw-Hill
  6. Kim, J. I., Park, J. H., Yoo, H. H. and Bae, D. S., 1999, 'Static Equilibrium and Linear Vibration Analysis of Constrained Multibody Systems,' Transactions of KSME (A), Vol. 23, No. 5, pp. 871-880
  7. Kim, S. S. and Vanderploeg, M. J., 1986, 'A General and Efficient Method for Dynamic Analysis of Mechanical Systems Using Velocity Transformations,' ASME Journal of Mechanisms, Transmissions and Automation in Design, Vol. 108, pp. 176-182 https://doi.org/10.1115/1.3260799
  8. Nikravesh, P. E., 1988, Computer-Aided Analysis of Mechanical Systems, Prentice-Hall International Editions
  9. Nikravesh, P. E. and Srinivasan, M., 1985, 'Generalized Coordinate Partitioning in Static Equilibrium Analysis of Large-Scale Mechanical Systems,' International Journal for Numerical Methods in Engineering, Vol. 21, pp. 451-464 https://doi.org/10.1002/nme.1620210306
  10. Rosenberg, R. M., 1977, Analytical Dynamics of Discrete Systems, Plenum Press