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Active vibration control of a piezoelectric functionally graded carbon nanotube-reinforced spherical shell panel

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Abstract

A finite-element model is presented based on the four-variable shear deformation refined theory for active vibration control of a functionally graded carbon nanotube-reinforced composite spherical panel with integrated piezoelectric layers, acting as an actuator and a sensor. The linear distribution of the electric potential across the thickness of the piezoelectric layer and different distribution types of carbon nanotubes through the thickness of the layers are considered. The weak form of the governing equation is derived using Hamilton's principle, and a four-node nonconforming rectangular element with eight mechanical and two electrical degrees of freedom per node is introduced for discretising the domain. A constant velocity feedback approach is utilised for the active control of the panel by closed-loop control with a piezoelectric sensor and actuator. The convergence and accuracy of the model are validated by comparing numerical results with data available in literature. Some new parametric studies are also discussed in detail.

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Acknowledgments

This work was supported by the Foundation for Science and Technology Development of the National University of Civil Engineering, Ha Noi, Vietnam (Project Code 26-2020/KHXD-TĐ).

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  1. National University of Civil Engineering, Hai Ba Trung District, 55 Giai Phong Road, Hanoi, 100000, Vietnam

    Tran Huu Quoc, Vu Van Tham & Tran Minh Tu

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  1. Tran Huu Quoc
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  2. Vu Van Tham
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Correspondence to Tran Huu Quoc.

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Quoc, T.H., Van Tham, V. & Tu, T.M. Active vibration control of a piezoelectric functionally graded carbon nanotube-reinforced spherical shell panel. Acta Mech 232, 1005–1023 (2021). https://doi.org/10.1007/s00707-020-02899-x

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