Summary
A reasonable modeling and a suitable design of a control system for the translational motion of an elastic robot arm with a prismatic joint is a still open problem. In this paper the dynamic behaviour of such an elastic beam is described with respect to control requirements. A complex control system is obtained represented approximately by a set of ordinary linear time-variant differential equations of variable order. Certain approaches of designing a feedback control are discussed.
On leave of the Technical University of Istanbul, Turkey, by a fellowship of the Alexander von Humboldt-Foundation.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Henrichfreise, H.: Aktive Schwingungsdämpfung an einem elastischen Knickarmroboter. Dissertation, Universität - GH Paderborn 1988.
Ackermann, J.: Positionsregelung reibungsbehafteter, elastischer Industrieroboter. Dissertation, Bergische Universität - GH Wuppertal 1988.
Lilov, L.; Wittenburg, J.: Dynamics of chains of rigid bodies and elastic rods with revolute and prismatic joints. In: Bianchi, G.; Schiehlen, W. (eds.): Dynamics of Multibody Systems, Berlin, Heidelberg, New York, Tokyo: Springer- Verlag 1986, pp. 141–152.
Riemer, M.; Wauer, J.: Equations of motion for hybrid industrial robot models with revolute and prismatic joints. Poster presentation, 1st Int. Conf. on Industrial and Applied Mathematics (ICIAM), Paris, June 29 - July 3, 1987, and private communication.
Wang, P. K. C.; Wei, J.-D.: Vibrations in a moving flexible robot arm. J. Sound Vibr. 116 (1987) 149–160.
Wang, P. K. C.; Wei, J.-D.: Feedback control of vibrations in a moving flexible robot arm with rotary and prismatic joints. Proc. 19 87 IEEE Int. Conf. on Robotics and Automation, Rayleigh, NC. pp. 1683–1689, Mar.-Apr. 1987.
Schiehlen, W.: Technische Dynamik. Stuttgart: B. G. Teubner 1986.
Ackermann, J.: Robuste Regelung: Beispiele - Parameterraum- Verfahren. In: Robuste Regelung, GMA-Bericht 11, Düsseldorf: VDI/VDE-GMA 1986.
Meckl, P. H.; Seering, W. P.: Reducing residual vibration in systems with time-varying resonances. Proc. 1987 IEEE Int. Conf. on Robotics and Automation, Rayleigh, NC, pp. 1690–1695, Mar. - Apr. 1987.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Gürgöze, M., Müller, P.C. (1989). Modeling and Control of Elastic Robot Arm with Prismatic Joint. In: Schweitzer, G., Mansour, M. (eds) Dynamics of Controlled Mechanical Systems. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83581-0_18
Download citation
DOI: https://doi.org/10.1007/978-3-642-83581-0_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-83583-4
Online ISBN: 978-3-642-83581-0
eBook Packages: Springer Book Archive