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.
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References
Paul, B. “Analytical Dynamics of Mechanisms — A Computer Oriented Overview”, Mechanism and Machine Theory, vol. 10, pp. 481–507, 1975.
Haug, E.J. (ed.). “Computer Aided Analysis and Optimization of Mechanical System Dynamics”, Springer-Verlag, 1984.
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.
Schiehlen, W.O., “Dynamics of Complex Multibody Systems”, SM Archives, vol. 9, pp. 159–195, 1984.
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.
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.
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.
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.
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.
Nikravesh, P.E., “Computer-Aided Analysis of Mechanical Systems”, Prentice-Hall, 1988.
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.
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.
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.
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© 1990 Springer-Verlag Berlin Heidelberg
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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
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DOI: https://doi.org/10.1007/978-3-642-50995-7_17
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