Suppression Vibration Adaptive Inverse Dynamics Control of Flexible Plate with Piezoelectric Layers

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Micro-Vibrations, generally defined as low amplitude vibrations at frequencies up to 1 kHz, are now of critical importance in a number of areas. One such area is onboard spacecraft carrying sensitive payloads where the micro-vibrations are caused by the operation of other equipment. In this paper a rectangular simply supported flexible panel is considered. The equipments are located on this panel as lumped masses and the micro-vibrations are induced by some concentrated forces. The piezoelectric layers are attached on both sides of the panel as sensors and actuators. The governing equations of motion are derived based on Lagrange-Rayleigh-Ritz method. An adaptive control scheme is applied to reduce the panel vibrations. Finally the simulation results show the advantages of the adaptive control algorithm.

Info:

Periodical:

Advanced Materials Research (Volumes 403-408)

Edited by:

Li Yuan

Pages:

618-624

Citation:

M. Azadi et al., "Suppression Vibration Adaptive Inverse Dynamics Control of Flexible Plate with Piezoelectric Layers", Advanced Materials Research, Vols. 403-408, pp. 618-624, 2012

Online since:

November 2011

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$41.00

[1] S. Raja, P.K. Sinha, G. Prathap, and P. Bhattacharya, Influence of One and Two Dimensional Piezoelectric Actuation on Active Vibration Control of Smart Panels, Aerospace Science and Technology, 6, p.209–216, (2002).

DOI: https://doi.org/10.1016/s1270-9638(02)01153-7

[2] J. X. Gao, and Y. P. Shen, Active Control of Geometrically Nonlinear Transient Vibration of Composite Plates with Piezoelectric Actuators,. Journal of Sound and Vibration, 264, p.911–928, (2003).

DOI: https://doi.org/10.1016/s0022-460x(02)01189-6

[3] J. Lin, An Active Vibration Absorber of Smart Panel by Using a Decomposed Parallel Fuzzy Control Structure,. Engineering Applications of Artificial Intelligence, 18, p.985–998, (2005).

DOI: https://doi.org/10.1016/j.engappai.2005.03.010

[4] S. H. Moon, and J. S. Hwang, Panel Flutter Suppression with an Optimal Controller Based on the Nonlinear Model Using Piezoelectric Materials,. Composite Structures, 68, p.371–379, (2005).

DOI: https://doi.org/10.1016/j.compstruct.2004.04.002

[5] S. H. Moon, Finite Element Analysis and Design of Control System with Feedback Output Using Piezoelectric Sensor/Actuator for Panel Flutter Suppression,. Finite Elements in Analysis and Design, 42, p.1071 – 1078, (2006).

DOI: https://doi.org/10.1016/j.finel.2006.04.001

[6] K. Ma, M. N. Ghasemi-Nejhad, Adaptive Precision Positioning of Smart Composite Panels Subjected to External Disturbances,. Mechatronics, 16, p.623–630, (2006).

DOI: https://doi.org/10.1016/j.mechatronics.2006.05.001

[7] W.S. To, and T. Chen, Optimal Control of Random Vibration in Plate and Shell Structures with Distributed Piezoelectric Components,. International Journal of Mechanical Sciences, 49, p.1389–1398, (2007).

DOI: https://doi.org/10.1016/j.ijmecsci.2007.03.015

[8] Z. Qiu, H. Wu, and C. Ye, Acceleration Sensors Based Modal Identification and Active Vibration Control of Flexible Smart Cantilever Plate,. Aerospace Science and Technology, 13, p.277–290, (2009).

DOI: https://doi.org/10.1016/j.ast.2009.05.003

[9] S. Kapuria, P. Kumari, and J. K. Nath, Analytical Piezoelasticity Solution for Vibration of Piezoelectric Laminated Angle-Ply Circular Cylindrical Panels,. Journal of Sound and Vibration, 324, p.832–849, (2009).

DOI: https://doi.org/10.1016/j.jsv.2009.02.035

[10] Z. Qiu, H. Wu, and D. Zhang, Experimental Researches on Sliding Mode Active Vibration Control of Flexible Piezoelectric Cantilever Plate Integrated Gyroscope,. Thin-Walled Structures, 47, p.836–846, (2009).

DOI: https://doi.org/10.1016/j.tws.2009.03.003

[11] O. Tokhi, and S. Veres, Active Sound and Vibration Control, The Institution of Electrical Engineers, London, (2002).

[12] C. Canudas, B. Siciliano, and G. Bastin, Theory of Robot Control, Springer Verlag London, 1996. TABLE I. Dimensions and material properties.

[12] Panel Piezoelectric Length = 304. 8 mm = 1. 66e-10 m/V Wide = 203. 2 mm = 1700 Thickness = 1. 52 mm = 0. 19 mm = 71e9 Pa = 63e9 Pa = 0. 33 = 0. 3 = 2800 kg/m3 = 7650 kg/m3 Figure 1. The panel vibration when no voltage is applied to piezoelectric actuators (t=1. 2s) Figure 2. The generalized coordinates when voltage is applied to piezoelectric actuators Figure 3. The panel vibration when voltage is applied to piezoelectric actuators (t=1. 2s).

DOI: https://doi.org/10.1007/978-1-4419-0070-8_12