Dynamic Optimization of Industrial Servomechanisms using Motion Laws Based On Bezier Curves

Authors: Giovanni Incerti

Abstract:

The motion planning procedure described in this paper has been developed in order to eliminate or reduce the residual vibrations of electromechanical positioning systems, without augmenting the motion time (usually imposed by production requirements), nor introducing overtime for vibration damping. The proposed technique is based on a suitable choice of the motion law assigned to the servomotor that drives the mechanism. The reference profile is defined by a Bezier curve, whose shape can be easily changed by modifying some numerical parameters. By means of an optimization technique these parameters can be modified without altering the continuity conditions imposed on the displacement and on its time derivatives at the initial and final time instants.

Keywords: Servomechanism, residual vibrations, motion optimization.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1084502

References:

[1] Meirovich L., Fundamentals of Vibrations, McGraw-Hill Higher Education,2001.
[2] Farin G., Curves and surfaces for computer aided geometric design: a practical guide - 2nd edition, Academic Press, Boston, 1990
[3] Foley J.D. Computer graphics: principles and practice, Addison Wesley, Reading MA, 1990.
[4] Tsay D.M., Huey C.O. Jr, Cam motion synthesis using spline function, Journal of Mechanisms, Transmission and Automation in Design, vol. 110, June 1988, pp. 161-165
[5] Norton R.L., Cam design and Manufacturing Handbook, Industrial Press, New York, 2002.
[6] Yan H.S., Chen W.R., On the output motion characteristics of variable input speed servo-controlled slider-crank mechanisms, Mechanism and Machine Theory, vol. 35, 2000, pp. 541-561.
[7] Adamini R., Diligenti M., Legnani G., Una procedura generalizzata per la progettazione interattiva delle leggi di movimento mediante le curve di Bezier, Proc. of the 11th AIMETA Congress, Trento (Italy), 1992 (in italian).
[8] Rao S.S., Engineering Optimization - Theory and Practice, Wiley, New York, 1996.