Nonlinear isogeometric modeling and active control of piezoelectric functionally graded plates in thermal environment

LIU Tao1,2,3,ZHANG Shunqi1,LIU Qingyun2,3

Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (8) : 38-50.

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PDF(2731 KB)
Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (8) : 38-50.

Nonlinear isogeometric modeling and active control of piezoelectric functionally graded plates in thermal environment

  • LIU Tao1,2,3,ZHANG Shunqi1,LIU Qingyun2,3
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Abstract

The piezoelectric parameters (piezoelectric stress, strain and dielectric parameters) of piezoelectric materials are sensitive to temperature, and directly affect the performance of piezoelectric smart structures. In order to accurately analyze the nonlinear mechanical behavior and nonlinear active control of functionally graded plates (FGPs) with surface-bonded piezoelectric layers in thermal environment, firstly, the influences of temperature on piezoelectric parameters are introduced into the traditional linear piezoelectric constitutive equation. The nonlinear isogeometric analysis (IGA) model of piezoelectric functionally graded plates (PFGPs) is established based on the first-order shear deformation theory (FSDT) and Von Kármán theory, and the correctness and effectiveness of the model are verified by relevant numerical examples. Secondly, the free vibration and nonlinear static bending of the plates under various loads are analyzed. Finally, the displacement-velocity feedback control method is used to study the nonlinear active control of the plates. The results show that the temperature dependence of piezoelectric parameters have influences on the free vibration, nonlinear static bending response and nonlinear active control effect of piezoelectric functionally graded plates, and the influences are related to the thickness of piezoelectric layers, gradient index n and temperature.

Key words

Piezoelectric parameters / Thermal environment / Piezoelectric functionally graded plates (PFGPs) / Nonlinear isogeometric analysis model / Nonlinear active control

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LIU Tao1,2,3,ZHANG Shunqi1,LIU Qingyun2,3. Nonlinear isogeometric modeling and active control of piezoelectric functionally graded plates in thermal environment[J]. Journal of Vibration and Shock, 2023, 42(8): 38-50

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