Variable frequency harmonic vibration suppression using active vibration absorption


  • Francisco Beltrán-Carbajal Universidad Autónoma Metropolitana


Mechanical vibrations, dynamic vibration absorbers, active vibration absorption, force estimation


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.

= 14 veces | PDF (ESPAÑOL (ESPAÑA))
= 17 veces|


Download data is not yet available.

Author Biography

Francisco Beltrán-Carbajal, Universidad Autónoma Metropolitana

Department of Energy, Azcapotzalco Unit


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.

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.

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.

P. Bhatta, A. Sinha. “A Discrete-time, Optimal, Active Vibration Absorber”. Journal of Sound and Vibration. Vol. 268. 2003. pp. 201-208.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.



How to Cite

Beltrán-Carbajal, F. (2014). Variable frequency harmonic vibration suppression using active vibration absorption. Revista Facultad De Ingeniería Universidad De Antioquia, (73), 144–156. Retrieved from