Skip to main content

COMPAMM — A Simple and Efficient Code for Kinematic and Dynamic Numerical Simulation of 3-D Multibody Systems with Realistic Graphics

  • Chapter
Multibody Systems Handbook

Abstract

The theoretical foundations of a 3-D multibody program called COMPAMM (COM-Puter Analysis of Machines and Mechanisms) are presented. Instead of using Euler angles or Euler parameters in order to define the spatial orientation of a rigid body, COMPAMM uses the cartesian coordinates of two or more points and the cartesian components of one or more unit vectors rigidly attached to the body. With this coordinates the constraint equations are quadratic and then the jacobian matrix is a linear function of them, needing for its evaluation far less arithmetic operations than with other methods. In addition to this, the mass matrix in the inertial reference frame is constant and Coriolis or centrifugal forces do not appear in the formulation. COMPAMM has also very advanced interactive and graphical capabilities that are very briefly described in this paper. Finally some examples are presented.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Paul, B. “Analytical Dynamics of Mechanisms — A Computer Oriented Overview”, Mechanism and Machine Theory, vol. 10, pp. 481–507, 1975.

    Article  Google Scholar 

  2. Haug, E.J. (ed.). “Computer Aided Analysis and Optimization of Mechanical System Dynamics”, Springer-Verlag, 1984.

    Google Scholar 

  3. Bae, D.-S., Hwang, R.S. and Haug, E.J., “A Recursive Formulation for Real-Time Dynamic Simulation”, ASME Conference on Advances in Design Automation, 1988.

    Google Scholar 

  4. Schiehlen, W.O., “Dynamics of Complex Multibody Systems”, SM Archives, vol. 9, pp. 159–195, 1984.

    MATH  Google Scholar 

  5. Rosenthal, D.E. and Sherman, M.A., “High Performance Multibody Simulations Via Symbolic Equation Manipulation and Kane’s Method”, The Journal of the Astronautical Sciences, vol. 34, pp. 223–239, 1986.

    Google Scholar 

  6. Vilallonga, G., Unda, J. and García de Jalón, J., “Numerical Kinematic Analysis of Three-Dimensional Mechanism Using a Natural System of Dependent Coordinates”, ASME Paper No. 84-DET-199, 1984.

    Google Scholar 

  7. García de Jalón, J., Unda, J. and Avello, A., “Natural Coordinates for the Computer Analysis of Three-Dimensional Multibody Systems”, Computer Methods in Applied Mechanics and Engineering, vol. 56, pp. 309–327, 1986.

    Article  MATH  Google Scholar 

  8. García de Jalón, J., Unda, J., Avello, A. and Jiménez, J.M., “Dynamic Analysis of Three-Dimensional Mechanisms in Natural Coordinates”, ASME J. on Mechanisms, Transmissions and Automation in Design, vol. 109, pp. 460–465, 1987.

    Article  Google Scholar 

  9. Unda, J., García de Jalón, J., Losantos, F. and Emparantza, R., “A Comparative Study on Some Different Formulations of the Dynamic Equations of Constrained Mechanical Systems”, ASME J. of Mechanisms, Transmissions and Automation in Design, vol. 109, pp. 466–474, 1987.

    Article  Google Scholar 

  10. Nikravesh, P.E., “Computer-Aided Analysis of Mechanical Systems”, Prentice-Hall, 1988.

    Google Scholar 

  11. Mani, N.K., Haug, E.J. and Atkinson, K.E., “Application of Singular Value Decomposition for Analysis of Mechanical System Dynamics”, ASME J. on Mechanisms, Transmissions and Automation in Design, vol. 107, pp. 82–87, 1985.

    Article  Google Scholar 

  12. Kim, S.S. and Vanderploeg, M.J., “QR Decomposition for state Space Representation of Constrained Mechanical Dynamic Systems”, ASME J. on Mechanisms, Transmissions and Automation in Design, vol. 108, pp. 176–182, 1986.

    Article  Google Scholar 

  13. Baumgarte, J., “Stabilization of Constraints and Integrals of Motion in Dynamical Systems”, Computer Methods in Applied Mechanics and Engineering, vol. 1, pp. 1–16, 1972.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Jiménez, J.M., Avello, A., García-Alonso, A., de García Jalón, J. (1990). COMPAMM — A Simple and Efficient Code for Kinematic and Dynamic Numerical Simulation of 3-D Multibody Systems with Realistic Graphics. In: Schiehlen, W. (eds) Multibody Systems Handbook. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-50995-7_17

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-50995-7_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-50997-1

  • Online ISBN: 978-3-642-50995-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics