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Active vibration control of functionally graded beams with piezoelectric layers based on higher order shear deformation theory

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Abstract

This paper reports on a study of active vibration control of functionally graded beams with upper and lower surface-bonded piezoelectric layers. The model is based on higher-order shear deformation theory and implemented using the finite element method (FEM). The proprieties of the functionally graded beam (FGB) are graded along the thickness direction. The piezoelectric actuator provides a damping effect on the FGB by means of a velocity feedback control algorithm. A Matlab program has been developed for the FGB model and compared with ANSYS APDL. Using Newmark’s method numerical solutions are obtained for the dynamic equations of FGB with piezoelectric layers. Numerical results show the effects of the constituent volume fraction and the influence the feedback control gain on the frequency and dynamic response of FGBs.

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Authors and Affiliations

  1. Mechanics of Structures and Solids Laboratory, Department of Mechanics, Faculty of technologys, Djillali Liabès University of Sidi Bel-Abbès, Sidi Bel-Abbès, Algeria

    K. Bendine, F. B. Boukhoulda & Z. Satla

  2. Laboratoire d’Energétique et de Mécanique Théorique et Appliquée, LEMTA CNRS-UMR 7563, University of Lorraine, Mines Nancy, Nancy, 88100, France

    M. Nouari

  3. Mechanics of structures and solids laboratory, Department of mechanics, Faculty of technology, Djillali Liabès University of Sidi Bel-Abbès, BP 89, Cité Ben M’hidi, Sidi Bel-Abbès, 22000, Algeria

    K. Bendine

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  1. K. Bendine
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  2. F. B. Boukhoulda
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  3. M. Nouari
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  4. Z. Satla
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Correspondence to K. Bendine.

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Bendine, K., Boukhoulda, F.B., Nouari, M. et al. Active vibration control of functionally graded beams with piezoelectric layers based on higher order shear deformation theory. Earthq. Eng. Eng. Vib. 15, 611–620 (2016). https://doi.org/10.1007/s11803-016-0352-y

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  • DOI: https://doi.org/10.1007/s11803-016-0352-y

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