Skip to content
BY-NC-ND 4.0 license Open Access Published by De Gruyter Open Access March 7, 2018

Active Vibration damping of Smart composite beams based on system identification technique

Kouider Bendine, Zouaoui Satla, Farouk Benallel Boukhoulda and Mohammed Nouari


In the present paper, the active vibration control of a composite beam using piezoelectric actuator is investigated. The space state equation is determined using system identification technique based on the structure input output response provided by ANSYS APDL finite element package. The Linear Quadratic (LQG) control law is designed and integrated into ANSYS APDL to perform closed loop simulations. Numerical examples for different types of excitation loads are presented to test the efficiency and the accuracy of the proposed model.


[1] Aridogan, U., Basdogan, I., 2015. A review of active vibration and noise suppression of plate-like structures with piezoelectric transducers. J. Intell. Mater. Syst. Struct. 26, 1455-1476.10.1177/1045389X15585896Search in Google Scholar

[2] Bendine, K., Boukhoulda, B.F., Nouari, M., Satla, Z., 2016. Structural Modeling and Active Vibration Control of Smart FGM Plate through ANSYS. Int. J. Comput. Methods 1750042.10.1142/S0219876217500426Search in Google Scholar

[3] Bendine, K., Boukhoulda, F.B., Haddag, B., Nouari, M., 2017. Active vibration control of composite platewith optimal placement of piezoelectric patches. Mech. Adv. Mater. Struct.10.1080/15376494.2017.1387324Search in Google Scholar

[4] Bendine, K., Boukhoulda, F.B., Nouari, M., Satla, Z., 2016. Active vibration control of functionally graded beams with piezoelectric layers based on higher order shear deformation theory. Earthq. Eng. Eng. Vib. 15, 611-620.10.1007/s11803-016-0352-ySearch in Google Scholar

[5] Bruant, I., Gallimard, L., Nikoukar, S., 2010. Optimal piezoelectric actuator and sensor location for active vibration control, using genetic algorithm. J. Sound Vib. 329, 1615-1635.10.1016/j.jsv.2009.12.001Search in Google Scholar

[6] Elshafei, M.A., Alraiess, F., 2013. Modeling and analysis of smart piezoelectric beams using simple higher order shear deformation theory. Smart Mater. Struct. 22, 35006.10.1088/0964-1726/22/3/035006Search in Google Scholar

[7] Fuller, C.C., Elliott, S., Nelson, P.A., 1996. Active control of vibration. Academic Press.10.1016/B978-012269440-0/50006-6Search in Google Scholar

[8] Gay, D., 2014. Composite materials: design and applications. CRC press.10.1201/b17106Search in Google Scholar

[9] Khot, S.M., Yelve, N.P., Tomar, R., Desai, S., Vittal, S., 2012. Active vibration control of cantilever beam by using PID based output feedback controller. J. Vib. Control 18, 366-372.10.1177/1077546311406307Search in Google Scholar

[10] Ljung, L., 1998. System Identification, in: Signal Analysis and Prediction, Applied and Numerical Harmonic Analysis. Birkhäuser, Boston, MA, pp. 163-173.10.1007/978-1-4612-1768-8_11Search in Google Scholar

[11] Malgaca, L., 2010. Integration of active vibration control methods with finite element models of smart laminated composite structures. Compos. Struct. 92, 1651-1663.10.1016/j.compstruct.2009.11.032Search in Google Scholar

[12] Meng, G., Ye, L., Dong, X., Wei, K., 2006. Closed loop finite element modeling of piezoelectric smart structures. Shock Vib. 13, 1-12.10.1155/2006/505419Search in Google Scholar

[13] Peng, F., Ng, A., Hu, Y.-R., 2005. Actuator placement optimization and adaptive vibration control of plate smart structures. J. Intell. Mater. Syst. Struct. 16, 263-271.10.1177/1045389X05050105Search in Google Scholar

[14] Peng, X.Q., Lam, K.Y., Liu, G.R., 1998. Active vibration control of composite beams with piezoelectrics: a finite element model with third order theory. J. Sound Vib. 209, 635-650.10.1006/jsvi.1997.1249Search in Google Scholar

[15] Reddy, J.N., 1999. On laminated composite plates with integrated sensors and actuators. Eng. Struct. 21, 568-593.10.1016/S0141-0296(97)00212-5Search in Google Scholar

[16] Sadri, A.M., Wright, J.R., Wynne, R.J., 1999. Modelling and optimal placement of piezoelectric actuators in isotropic plates using genetic algorithms. Smart Mater. Struct. 8, 490.10.1088/0964-1726/8/4/306Search in Google Scholar

[17] Sun, B., Huang, D., 2000. Analytical vibration suppression analysis of composite beams with piezoelectric laminae. Smart Mater. Struct. 9, 751-760. in Google Scholar

[18] Takács, G., Rohaľ-Ilkiv, B., 2012. Direct closed-loop active vibration control system prototype in ANSYS, in: INTER-NOISE and NOISE-CON Congress and Conference Proceedings. Institute of Noise Control Engineering, pp. 1-12.Search in Google Scholar

[19] Takács, G., Rohaľ-Ilkiv, B., 2012. Model Predictive Vibration Control: Eflcient Constrained MPC Vibration Control for Lightly Damped Mechanical Structures. Springer Science & Business Media.10.1007/978-1-4471-2333-0Search in Google Scholar

[20] Takács, G., Rohal’-Ilkiv, B., 2010. Piezoelectric wafer based feedback in vibration control of lightly damped beams, in: Proceedings of the 9th International Scientific-technical conference-Process Control.Search in Google Scholar

[21] Yang, Y., Jin, Z., Soh, C.K., 2005. Integrated optimal design of vibration control system for smart beams using genetic algorithms. J. Sound Vib. 282, 1293-1307.10.1016/j.jsv.2004.03.048Search in Google Scholar

[22] Zorić, N.D., Simonović, A.M., Mitrović, Z.S., Stupar, S.N., 2012. Optimal vibration control of smart composite beams with optimal size and location of piezoelectric sensing and actuation. J. Intell. Mater. Syst. Struct. 1045389X12463465.10.1177/1045389X12463465Search in Google Scholar

Received: 2017-11-30
Accepted: 2018-02-14
Published Online: 2018-03-07

© 2018, published by De Gruyter

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Scroll Up Arrow