Variable frequency harmonic vibration suppression using active vibration absorption
DOI:
https://doi.org/10.17533/udea.redin.18126Keywords:
dynamic vibration absorbers, active vibration absorption, force estimation, mechanical vibrationsAbstract
Passive dynamic vibration absorbers have been extensively used for harmful vibration attenuation in many practical engineering systems. The applicability of these passive vibration absorption devices is limited to a specific narrow operation frequency bandwidth. In this article, a novel active vibration absorption scheme is proposed to extend the vibration suppression capability of a passive mass-spring-damper absorber for any excitation frequency, including interest resonant harmonic perturbation forces. The central foundations of a passive absorber are exploited in the design stage of the presented absorption scheme. Thus, the active absorption device applies forces on the protected mechanical system that counteract the unknown perturbation forces, conserving the vibration attenuation property of the passive absorber. The perturbation force is estimated on-line using an extended state observer proposed in this work. Simulation results are included to show the efficiency of the active vibration absorption scheme to reject completely unknown resonant and chaotic forced vibrations affecting the primary mechanical system, and to prove the effectiveness of the estimation of exogenous perturbation forces.
Downloads
References
S. Rao. Mechanical Vibrations. 5th ed. Ed. Prentice Hall. Upper Saddle River. New Jersey, USA. 2011. pp. 10-13.
B. Korenev, L. Reznikov. Dynamic Vibration Absorbers. 1st ed. Ed. John Wiley & Sons Ltd. Chichester. England. 1993. pp. 1-296.
S. Braun, D. Ewins, S. Rao. Encyclopedia of Vibration. 1st ed. Ed. Academic Press. London, UK. 2002. pp. 1-26.
A. Piersol, T. Paez. Harris’s Shock and Vibration Handbook. 6th ed. Ed. McGraw-Hill. Columbus, USA. 2010. pp. 6.1-6.33.
C. Kai, A. Huang. “Active Vibration Absorbers Design for Mechanical Systems with Frequency-Varying Excitations”. Journal of Vibration and Control. DOI: 10.1177/1077546313478293. 2013. pp. 1-14. DOI: https://doi.org/10.1177/1077546313478293
S. Chatterjee. “Optimal Active Absorber with Internal State Feedback for Controlling Resonant and Transient Vibration”. Journal of Vibration and Control. Vol. 329. 2010. pp. 5397-5414. DOI: https://doi.org/10.1016/j.jsv.2010.07.017
M. Tso, J. Yuang, W. Wong. “Suppression of Random Vibration in Flexible Structures Using a Hybrid Vibration Absorber”. Journal of Vibration and Control. Vol. 331. 2012. pp. 974-986. DOI: https://doi.org/10.1016/j.jsv.2011.10.017
P. Bhatta, A. Sinha. “A Discrete-time, Optimal, Active Vibration Absorber”. Journal of Sound and Vibration. Vol. 268. 2003. pp. 201-208. DOI: https://doi.org/10.1016/S0022-460X(03)00250-5
P. Bonello. “Adaptive Tuned Vibration Absorbers: Design Principles, Concepts and Physical Implementations”. F. Beltrán (editor). Vibration Analysis and Control-New Trends and Developments. 1st ed. Ed. InTech. Rijeka, Croatia. 2011. pp. 1-26. DOI: https://doi.org/10.5772/23558
F. Beltrán, G. Silva, B. Vázquez, E. Chávez. “Design of Active Vibration Absorbers Using On-Line Estimation of Parameters and Signals”. F. Beltrán (editor). Vibration Analysis and Control-New Trends and Developments. 1st ed. Ed. InTech. Rijeka, Croatia. 2011. pp. 27-46.
F. Beltrán, G. Silva. “Adaptive-Like Vibration Control in Mechanical Systems with Unknown Parameters and Signals”. Asian J. Control. Vol. 15. No. 16. 2013. pp. 1613-1526. DOI: https://doi.org/10.1002/asjc.727
F. Beltrán, G. Silva, M. Arias. “Active Unbalance Control of Rotor Systems Using On-Line Algebraic Identification Methods”. Asian J. Control. Vol. 15. No. 16. 2013. pp. 1627-1637. DOI: https://doi.org/10.1002/asjc.744
T. Bandivadekar, R. Jangid. “Optimization of Multiple Tuned Mass Dampers for Vibration Control of System Under External Excitation”. Journal of Vibration and Control. Vol. 19. 2012. pp. 1854-1871. DOI: https://doi.org/10.1177/1077546312449849
R. Chen, T. Wu. “Vibration Control of Base System Using Distributed Dynamic Vibration Absorbers.” Journal of Vibration and Control. DOI: 10.1177/1077546312472923. 2014. pp. 1-12. DOI: https://doi.org/10.1177/1077546312472923
R. Harik, J. Issa. “Design of a vibration absorber for harmonically forced damped systems.” Journal of Vibration and Control. DOI: 10.1177/1077546313501928. 2013. pp. 1-11. DOI: https://doi.org/10.1177/1077546313501928
S. Saravanamurugan, T. Alwarsamy, K. Devarajan. “Optimization of Damped Dynamic Vibration Absorber to Control Chatter in Metal Cutting Process”. Journal of Vibration and Control. DOI: 10.1177/1077546313492554. 2013. pp. 1-10. DOI: https://doi.org/10.1177/1077546313492554
M. Arias, F. Beltrán, G. Silva. “On-line Algebraic Identification of Eccentricity Parameters in Active Rotor-Bearing Systems”. International Journal of Mechanical Sciences. Vol. 85. 2014. pp. 152-159. DOI: https://doi.org/10.1016/j.ijmecsci.2014.05.027
X. Zhang, X. Liu, Q. Zhu. “Adaptive Chatter Free Sliding Mode Control for a Class of Uncertain Chaotic Systems”. Applied Mathematics and Computation. Vol. 232. 2014. pp. 431-435. DOI: https://doi.org/10.1016/j.amc.2014.01.094
A. Senouci, A. Boukabou. “Predictive Control and Synchronization of Chaotic and Hyperchaotic Systems Based on a T–S Fuzzy Model”. Mathematics and Computers in Simulation. Vol. 105. 2014. pp. 62-78. DOI: https://doi.org/10.1016/j.matcom.2014.05.007
G. Chen. Controlling Chaos and Bifurcations in Engineering Systems. 1st ed. Ed. CRC Press. Florida, USA. 1999. pp. 1-71.
H. Khalil. Nonlinear Systems. 3rd ed. Ed. Prentice Hall. New Jersey, USA. 2002. pp. 126-130.
H. Sira, V. Feliu, F. Beltrán, A. Blanco. SigmaDelta Modulation Sliding Mode Observers for Linear Systems Subject to Locally Unstable Inputs. Proceedings of the 16th Mediterranean Conference on Control and Automation. Ajaccio, France. 2008. pp. 344-349.
H. Sira, F. Beltrán, A. Blanco. “A Generalized Proportional Integral Output Feedback Controller for the Robust Perturbation Rejection in a Mechanical System”. Sciences et Technologies de l’Automatique. Vol. 5. 2008. pp. 24-32.
M. Fliess, C. Join, H. Sira. “Non-linear Estimation is Easy”. Int. J. of Modelling, Identification and Control. Vol. 4. 2008. pp. 12-27. DOI: https://doi.org/10.1504/IJMIC.2008.020996
Z. Gao. Active Disturbance Rejection Control: A Paradigm Shift in Feedback Control System Design. Proceedings of the 2006 American Control Conference. Minneapolis, USA. 2006. pp. 2399-2405.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2018 Revista Facultad de Ingeniería
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Revista Facultad de Ingeniería, Universidad de Antioquia is licensed under the Creative Commons Attribution BY-NC-SA 4.0 license. https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en
You are free to:
Share — copy and redistribute the material in any medium or format
Adapt — remix, transform, and build upon the material
Under the following terms:
Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
NonCommercial — You may not use the material for commercial purposes.
ShareAlike — If you remix, transform, or build upon the material, you must distribute your contributions under the same license as the original.
The material published in the journal can be distributed, copied and exhibited by third parties if the respective credits are given to the journal. No commercial benefit can be obtained and derivative works must be under the same license terms as the original work.