Abstract
A point contact joint has been developed and implemented in a joint coordinate based planar multibody dynamics analysis program that also supports revolute and translational joints. Further, a segment library for the definition of the contours of the point contact joints has been integrated in the code and as a result any desired contour shape may be defined. The sensitivities of the basic physical variables of a multibody system, i.e., the positions, velocities, accelerations and reactions of the system with respect to the automatically identified independent design variables may be determined analytically, allowing design problems where the shape of the bodies are of interest to be handled in both a general and efficient way.
Similar content being viewed by others
References
Hansen, J.M., ‘Synthesis of spatial mechanisms using optimization and continuation methods’, in Computer Aided Analysis of Rigid and Flexible Mechanical Systems, M.S. Pereira and J.A.C. Ambrósio (eds), Kluwer Academic Publishers, Dordrecht, 1993, 423–439.
Hansen, M.R., ‘A general procedure for dimensional synthesis of mechanisms’, in Mechanism Design and Synthesis, The 1992 ASME Technical Conference, Phoenix, U.S.A., G. Kinzel, C. Reinholtz, G.R. Pennock, G.J. Wiens, R.J. Cipra, D.B. Thompson and T.R. Chase (eds), ASME, New York, 1992, 67–71.
Hansen, M.R., ‘A multi level approach to synthesis of planar mechanisms’, Journal of Nonlinear Dynamics 9, 1996, 131–146.
Pesch, V.J., Hinkle, C.L. and Tortorelli, D.A., ‘Optimization of planar mechanism kinematics with symbolic computation’, in Optimization of Mechanical Systems, D. Bestle and W. Schiehlen (eds), Kluwer Academic Publishers, Dordrecht, 1995, 221–230.
Snyman, J.A. and Geerthsen, K.A., ‘The practical application of a dynamic search trajectory method for constrained global optimization’, in Optimization of Mechanical Systems, D. Bestle and W. Schiehlen (eds), Kluwer Academic Publishers, Dordrecht, 1995, 285–292.
Hiller, M. and Kecskemethy, A., ‘Equations of motion of complex multibody systems using kinematical differentials’, Transactions of CSME, 13(4), 1989, 113–121.
Schiehlen, W., ‘Symbolic computations in multibody dynamics’, in Computer Aided Analysis of Rigid and Flexible Mechanical Systems, M.S. Pereira and J.A.C. Ambrósio (eds), Kluwer Academic Publishers, Dordrecht, 1993, 101–136.
Nikravesh, P.E. and Gim, G., ‘Systematic construction of the equations of motion for multibody systems containing closed kinematic loops’, ASME Journal of Mechanical Design 115, 1993, 143–149.
Hansen, J.M. and Tortorelli, D.A., ‘An efficient method for synthesis of mechanisms using and optimization method’, in Optimization of Mechanical Systems, D. Bestle and W. Schiehlen (eds), Kluwer Academic Publishers, Dordrecht, 1995, 129–138.
Hansen, J.M., ‘Automated design variable identification in the joint variable method’, to appear.
Bennett, J.A. and Botkin, M.E., The Optimum Shape. Automated Structural Design, Plenum Press, New York, 1986.
Olhoff, N. and Lund, E., ‘Finite element based engineering design sensitivity analysis and optimization’, in Advances in Structural Optimization, J. Herskovits (ed.), Kluwer Academic Publishers, Dordrecht, 1995, 1–45.
Nikravesh, P.E., ‘Computational methods in multibody systems’, Course Notes, COMETT Course on Computer Aided Analysis of Mechanical Systems, Technical University of Denmark, Denmark, 1991.
Hansen, M.R., ‘Synthesis of mechanisms including the shape of bodies as design variables’, in Optimization of Mechanical Systems, D. Bestle and W. Schiehlen (eds), Kluwer Academic Publishers, Dordrecht, 1995, 139–146.
Farin, G., Curves and Surfaces for Computer Aided Geometric Design. A Practical Guide, Academic Press, San Diego, CA, 1993.
Rights and permissions
About this article
Cite this article
Hansen, M.R., Hansen, J.M. An Efficient Method for Synthesis of Planar Multibody Systems Including Shape of Bodies as Design Variables. Multibody System Dynamics 2, 115–143 (1998). https://doi.org/10.1023/A:1009758123449
Issue Date:
DOI: https://doi.org/10.1023/A:1009758123449