Semi-active Vibration Control of a Composite Beam by Adaptive Synchronized Switching on Voltage Sources Based on LMS Algorithm

Abstract

In this article, an adaptive semi-active SSDV (Synchronized Switch Damping on Voltage) method based on the LMS algorithm is proposed and applied to the vibration control of a composite beam. In the SSDV method, the value of voltage source in the switching circuit is critical to its control performance. In the adaptive approach proposed in this study, the voltage source is adjusted adaptively using the LMS algorithm. Two cases of the adjustment are considered. In the first case, as an improvement to the enhanced SSDV, the voltage coefficient is adjusted by the LMS algorithm. In the second case, as an improvement to the classical SSDV, the voltage value is adjusted directly. The new adaptive approach is compared with the derivative-based adaptive SSDV proposed in the former study in the control of the first mode of a composite beam. The control results show that adaptive adjustment of voltage value and adaptive adjustment of voltage coefficient are equally effective in the vibration control of the composite beam and that LMS-based approach is slightly better than the derivative-based approach.

Keywords

piezoelectric elements synchronized switch damping semi-active control vibration damping LMS algorithm.

Get full access to this article

View all access options for this article.

References

Badel, A. , Sebald, G. , Guyomar, D. , Lallart, M. , Lefeuvre, E. , Richard, C. and Qiu, J. 2006. ``Piezoelectric Vibration Control by Synchronized Switching on Adaptive Voltage Sources: Towards Wideband Semi-active Damping , '' Journal of Acoustics Society American, 119(5):2815-2825.

Clark, W.W. 1999. ``Semi-active Vibration Control with Piezoelectric Materials as Variable Stiffness Actuators,'' In: Proceedings SPIE, 3672:123-130, Newport Beach, CA.

Clark, W.W. 2000. ``Vibration Control with State-switching Piezoelectric Materials,'' Journal of Intelligent Material Systems and Structures , 11:263-271.

Davis, C.L. , Lesieutre, G.A. and Dosch, J. 1997. ``Tunable electrically Shunted Piezoceramic Vibration Absorber,'' In: Proceedings of SPIE, Smart Structures and Materials: Passive Damping and Isolation, pp. 51-59, San Diego, CA.

Davis, C.L. and Lesieutre, G.A. 1998. ``An Actively Tuned Solid-state Piezoelectric Vibration Absorber,'' In: Proceedings of SPIE, Smart Structures and Materials, 3327:169-182, San Diego, CA .

Faiz, A. , Guyomar, L. , Petit, L. and Buttay, C. 2006. ``Wave Transmission Reduction by a Piezoelectric Semi-Passive Technique,'' Sensors and actuators, 128:230-237.

Hansen, C.H. and Snyder, S.D. 1996. Active Control of Noise and Vibration, E & Fn Spon, London.

Ji, H.L. , Qiu, J.H. , Badel, A. and Zhu, K.J. 2008. ``Semi-active Vibration Control of a Composite Beam Using an Adaptive SSDV Approach,'' Journal of Intelligent Material Systems and Structures, published on September 3, 2008 as doi:10.1177/ 1045389X08095182.

Lefeuvre, E. , Guyomar, D. , Petit, L. , Richard, C. and Badel, A. 2006. ``Semi-passive Structural Damping by Synchronized Switching on Voltage Sources,'' Journal of Intelligent Material Systems and Structures, 17(8/9):653-660.

10.

Richard, C. , Guyomar, D. , Audigier, D. and Ching, G. 1998. ``Semi-passive Damping Using Continuous Switching of a Piezoelectric Device,'' In: Proceedings of the SPIE Smart Structures and Materials Conference: Passive Damping and Isolation, 3672:104-111, San Diego, CA.

11.

Richard, C. , Guyomar, D. , Audigier, D. and Bassaler, H. 2000. ``Enhanced Semi Passive Damping Using Continuous Switching of a Piezoelectric Device on an Inductor,'' In: Proceedings of SPIE International Symposium on Smart Structures and Materials: Damping and Isolation, 3989:288-299, Newport Beach, CA.