SIMULATION STUDY OF THE NON-COLLOCATED CONTROL OF A CANTILEVER BEAM

Authors

  • Jiří Tůma VŠB – Technical University of Ostrava
  • Miroslav Mahdal VŠB – Technical University of Ostrava
  • Pavel Šuránek VŠB – Technical University of Ostrava

DOI:

https://doi.org/10.7494/mech.2013.32.3.110

Keywords:

cantilever beam, non-collocated control, simulation, active suppression of vibrations

Abstract

This article deals with the simulation of the active vibration control of a cantilever beam. For these purposes, a lumped parameter model has been developed and the simplest controller has been designed to ensure the structural stability of the control loop. The controller is of a proportional velocity feedback type. The control loop can also be stable in the case of a very small inherent damping of the cantilever beam. The lumped-parameter model is based on the Euler-Bernoulli beam theory. The developed tools can be used to simulate the collocated and non-collocated active vibration control. Since this article is intended to study the behaviour of a non-collocated control system of the transducer is sensing the vibration of the free end of the beam, while the actuator force acts near the fixed end.

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References

Chudnovsky V., Kennedy D., Mukherjee A., Wendlandt J. 2006, Modeling Flexible Bodies in SimMechanics and Simulink. MathWorks, http://www.mathworks.com/company/newsletters/articles/modeling-flexible-bodies-in-simmechanics-and-simulink.html.

Flugge W. (ed.) 1962, Handbook of Engineering Mechanics. McGrow Hill. Genta G. 2009, Vibration Dynamics and Control. Springer.

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Preumont A., Seto K. 2008, Active Control of Structures. Wiley.

Shames I.H., Dym C.I. 2006, Energy and finite element methods in structural mechanics. New Age International (P) Limited Publishers.

Šuránek P., Tůma J. 2013a, Experiments with the active vibration control of a cantilever beam. Proceedings of the 11th International Conference on Vibration Problems (9-13 September 2013), Lisbon, Portugal.

Šuránek P., Mahdal M., Tůma J., Zavadil J. 2013b, Modal analysis of the cantilever beam. Proceedings of the 14th International Carpathian Control Conference (ICCC 2013, May 26–29 2013), Rytro, Poland, pp. 367–372.

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Issue

Vol. 32 No. 3 (2013)

Section

Articles

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