Summary
We consider multibody systems with rigid and elastic components and the assumption, that any elastic components or couplings generate only small elastic deformations. The multibody system then performs a nonlinear gross motion determined by the corresponding system without elasticities superimposed by small elastic deviations and vibrations. Paper gives the theory for that case and an application on elastic manipulators.
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References
d’Alembert, Jean le Rond: Traité de Dynamique. Chez David, Libraire, Paris 1758.
Brandl, H., Johanni, R..; Otter, M.: A Very Efficient Algorithm for the Simulation of Robots and Similar Multibody Systems without Inversion of the Mass Matrix. IFAC/IFIP/IMACS Symp. on Theory of Robots, Vienna/Austria, Dec. 1986.
Bremer, H.: Dynamik und Regelung mechanischer Systeme, Teubner, Stuttgart, 1988.
Bremer, H.: On the Dynamics of Flexible Manipulators. Proc. 2nd IEEE Conf. Robotics and Automation, Rayleigh/USA, 1556-1560, 1987.
Bremer, H.: Dynamics of Multibody Systems with Elastic Components. (in German), ZAMM 65, 613–621, 1985.
Bremer, H., Pfeiffer, F.: Control of Elastic Robots. Proc. IUTAM Symp.on Dynamic Problems of Rigid-Elastic Systems and Structures, Moscow, May 23–27, to appear.
Fleischer, G. C.; Likins, P. W.: Attitude dynamics simulation subroutines for systems of hinge-connected rigid bodies. JPL Tech. Report 32-1592, Pasadena, 1974.
Gebier, B.: Modellbildung, Regelung und Steuerung für elastische Industrieroboter. VDI-Fortschr.-Ber, Reihe 11, Nr. 98, Düsseldorf 1987.
Haug, E. J.; Shic, C. W.; Sung-Soo Kim: Dynamics of Flexible Machines: A Variational Approach. IUTAM/IFToMM Symp. on Dynamics of Multibody Systems, Udine 1985, Springer Berlin Heidelberg 1986.
Hooker, W. W.: Equations of motion for interconnected rigid and elastic bodies: a derivation independent of angular momentum. Celestial Mech. 2 (1975), 337–359.
Hooker, W. W.; Margulies, G.: The dynamics attitude equations for n-body satellite. J. Astronautical Sci. 12 (1965), 123–128.
Huston, R. L.; Pasarello, C. E.; Harlow, M. W.: Dynamics of Multi-Rigid-Body Systems. J. Appl. Mech. 45 (1978), 889–894.
Jourdain, P. E. B.: Note on an Analogue of Gauss’ Principle of Least Constraint., Quarterly J. of Pure and Appl. Math., Vol. XL, London, Longmans, Green and Co., 1909.
Kane, T.R.; Levinson, D.A.: Dynamics: Theory and Application. New York, McGraw Hill, 1985.
Kane, T.R.: Dynamics of Nonholonomic Systems. J. Appl. Mech. 28 (1961), 574–578.
Kleemann, U.: Regelung elastischer Roboter, VDI Fortschr.-Ber., Reihe 8, Nr. 191, Düsseldorf 1989.
Lachenmayr, G.: Schwingungen in Plantetengetrieben mit elastischen Hohlrädern. VDI Fortschr.-Ber., Reihe 11, Nr. 108, Düsseldorf 1988.
Lagrange, J.-L.: Mécanique Analytique. Veuve Desaint, Paris 1788, Reprint Editions Jaques Gabay, Sceaux 1989.
Lilov, L. K.: Dynamics of Elastic Multibody Systems Involving Closed Loops. IUTAM/IFToMM Symp. on Dynamics of Multibody Systems, Udine 1985, Springer Berlin Heidelberg 1989.
Pfeiffer, F.; Gebler,B.: A Multistage Approach to the Dynamics and Control of Elastic Robots. Proc. IEEE Int. Conf. on Robotics and Automation, Philadelphia/USA, 2-8, 1988.
Pfeiffer, F.; Kleemann, U. Elasticity and Vibration Control for Manipulators. Proc. IEEE Int. Conf. on Control and Applications, Jerusalem, 1989.
Pfeiffer, F.; Richter, K.; Wapenhans, H.: Elastic Robot Trajectory Planning with Force Control. Proc. of the IFIP International Symp. on Theory of Robots, Rome, Italy 1990.
Schiehlen, W.O.: Dynamics of Complex Multibody Systems. SM Archives 9 (1984), 159–195.
Schwertassek, R.; Roberson, R.E.: A state-space dynamical representation for multibody mechanical systems. Acta Mech. 50 1983, 141–161 Part II: Systems with closed loops. Acta Mech 51 (1984), 15-29.
Singh, R.P.; Vandervoort, R.J.: Dynamics of Flexible Bodies in Tree Topology: A Computer Oriented Approach. J. Guid. Contr., Vol 8, Nr. 5, Sept. 1985, 584–590.
Ulbrich, H.: Dynamik und Regelung von Rotorsystemen. VDI Fortschr.-Ber., Reihe 11, Nr. 86, D’usseldorf 1986.
Wittenburg, J.: The dynamics of systems of coupled rigid bodies. A new general formalism with applications. Stereodynamics Centro Internazionale Matematica Estivo, I Ciclo 1971, (Bressanone, 2–12 Jun 1971), Edizioni Cremonese, Roma, 1972.
Wittenburg, J.: Dynamics of Systems of Rigid Bodies. Teubner, Stuttgart 1977.
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© 1991 Springer-Verlag, Berlin Heidelberg
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Pfeiffer, F., Bremer, H. (1991). Elastic Multibody Theory Applied to Elastic Manipulators. In: Banichuk, N.V., Klimov, D.M., Schiehlen, W. (eds) Dynamical Problems of Rigid-Elastic Systems and Structures. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84458-4_21
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DOI: https://doi.org/10.1007/978-3-642-84458-4_21
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-84460-7
Online ISBN: 978-3-642-84458-4
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