Nonlinear vibration of conical shell with a piezoelectric sensor patch and a piezoelectric actuator patch

SAGE Publications - Tập 28 Số 11-12 - Trang 1502-1519 - 2022
Rasa Jamshidi1, Ali Asghar Jafari1
1KN Toosi University of Technology, Iran

Tóm tắt

In this study, nonlinear vibration of a conical shell with a piezoelectric sensor patch and a piezoelectric actuator patch is evaluated. The strain displacement relation is considered to be nonlinear and based on that the equations of motion and piezoelectric sensor output signal are extracted. For the first time, nonlinear electromechanical equations of motion for the conical shell with a piezoelectric sensor layer and a piezoelectric actuator layer are extracted in detail and presented. The producer of extraction of conical shell electromechanical equations of motions is presented for further clarifications. The output signal of the piezoelectric sensor patch considering the nonlinear strain displacement equation of motion is derived. For controlling the vibration actively, a proportional controller is defined by which the applied actuator signal is determined. The nonlinear electromechanical equations of motion are expanded based on conical shell strains. By applying the Galerkin method, the nonlinear time-domain equations are extracted. The complicated attained equations are solved using the harmonic balance method. Conical shell nonlinear frequency response in uncontrolled condition and controlled condition is computed and compared with each other. The frequency response shows that the active vibration control of the conical shell increases the nonlinearity of the system and reduces the vibration amplitude. In addition, free nonlinear vibration of the proposed system is calculated and presented. The results show higher impacts of piezoelectric patches on the conical shell free vibration response and they can reduce the vibration amplitude dramatically.

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Tài liệu tham khảo

10.1016/j.euromechsol.2018.02.012

10.1177/1099636218793993

10.1016/j.compositesb.2019.02.057

10.1016/j.compositesb.2019.03.065

10.1016/j.ymssp.2003.10.006

Chai WK, 2005, Technische Mechanik, 1, 27

10.1080/15397734.2020.1830799

10.1080/15376494.2018.1432791

Jamshidi R, 2018, Journal of Computational Applied Mechanics, 49, 212

10.1177/1045389X18770905

10.1016/j.compstruct.2020.113107

10.1007/978-3-030-14023-6

10.1016/S0020-7683(96)00100-X

10.1016/j.mechrescom.2009.02.003

10.1177/1077546311429055

Li H, 2012, Journal of Theoretical and Applied Mechanics, 50, 769

10.1177/1077546320902340

10.1080/15397734.2019.1646137

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SAGE Publications

Tập 28 Số 11-12

1502-1519

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