Abstract
In this chapter, we focus our attention on the formulation of the equations of motion of multibody systems with flexible terminal links. It is our interest to see how flexibility (elastic deformation) affects the dynamics, hence providing some insight into how to control it. Vibration of terminal links is more pronounced when high speed of light structure is required. For instance, the accurate positioning of a robotic manipulator requires that we assume a certain vibrating behavior in the control algorithm to be able to predict more precisely the position of its endpoint. In today’s technology, it is not possible to foresee any design of a control block for industrial / space manipulators that would not include the effects of flexibility.
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
Midha, A., Erdman, A. G. and Frohrib, D. A., Finite Element Approach to Mathematical Modelling of High-Speed Elastic Linkages, Mech. Mach. Theory,Vol. 13, 1978, pp. 603–618.
Turcic, D. A. and Midha, A., Generalized Equations of Motion for the Dynamic Analysis of Elastic Mechanism Systems, J. Dyn. Syst. Meas. Control, Vol. 106, 1984.
Ho, J. Y. L. and Herber, D. R., Development of Dynamics and Control Simulation of Large Flexible Space Systems, J. Guid. Control Dyn., Vol. 8: No. 3, 1985.
Sunada, W. and Dubowsky, S., The Application of Finite Element Methods to the Dynamic Analysis of Flexible Spatial and Co-planar Linkage Systems, J. Mech. Des., Vol. 103, July 1981.
Singh, R. P., Vandervoort, R. J. and Likins, P. W., Dynamics of Flexible Bodies in Tree Topology—A Computer Oriented Approach, Paper AIAA 84-1024, 25th Structures, Structural Dynamics and Materials Conference, Palm Springs, Calif., May 1984.
Kane, T. R., Ryan, R. R. and Banerjee, A. K., Dynamics of a Cantilever Beam Attached to a Moving Base, J. Guid. Control Dyn., Vol. 10: No. 2, 1987.
Fertis, D. G., Dynamics and Vibration of Structures, Wiley, New York, 1973.
Nothmann, G. A., Vibration of a Cantilever Beam with Prescribed End Motion, Appl. Mech., Dec. 1948.
Hoppmann, W. H., Impact of a Multispan Beam, J. Appl. Mech., Dec. 1950.
Hoppmann, W. H., Impact of a Mass on a Damped Elastically Supported Beam, J. Appl. Mech., June 1948.
Mindlin, R. D. and Goodman, L. E., Beam Vibrations with Time-Dependent Boundary Conditions, J. Appl. Mech., Dec. 1950.
Young, D. Vibration of a Beam with Concentrated Mass, Spring and Dashpot, J. Appl. Mech., Mar. 1948.
Hoppmann, W. H., Forced Lateral Vibration of Beam Carrying a Concentrated Mass, J. Appl. Mech., Sept. 1952.
Amirouche, F. M. L. and Huston, R. L., Dynamics of Large Constrained Flexible Structures, J. Dyn. Syst. Meas. Control, Vol. 110: No. 1, 1988, pp. 78–83.
Bainum, P. M. and Kumar, V. K., Dynamics of Orbiting Flexible Beams and Platforms in the Horizontal Orientation, Acta Astronant., Vol. 9: No. 3, 1982, pp. 119–127.
Huston, R. L., Flexibility Effects in Multibody Systems, Mech. Res. Commun., Vol. 7: No. 4, 1980, pp. 261–268.
Xie, M. and Amirouche, F. M. L., Minimization of Vibration in Elastic Beams with Time Variant Boundary Conditions in the Dynamics of Multibody Systems, J. Guid. Dyn. Control, July 1992.
Amirouche F. M. L. and Xie, M., Dynamic Analysis of Multibody Systems with Time-Variant Mode Shapes, 13th Biennial ASME Conference on Mechanical Vibration and Noise, Sept. 22–25, 1991.
Rights and permissions
Copyright information
© 2006 Birkhäuser Boston
About this chapter
Cite this chapter
(2006). Dynamics of Multibody Systems with Terminal Flexible Links. In: Fundamentals of Multibody Dynamics. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4406-7_10
Download citation
DOI: https://doi.org/10.1007/0-8176-4406-7_10
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4236-5
Online ISBN: 978-0-8176-4406-2
eBook Packages: EngineeringEngineering (R0)