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. 2022 Mar 9;15(6):2027.
doi: 10.3390/ma15062027.

Vibration Excitation and Suppression of a Composite Laminate Plate Using Piezoelectric Actuators

Shiuh-Chuan Her  1 , Han-Yung Chen  1
Affiliations

Vibration Excitation and Suppression of a Composite Laminate Plate Using Piezoelectric Actuators

Shiuh-Chuan Her et al. Materials (Basel). .

Abstract

Piezoelectric (PZT) actuators bonded on a structure can be used to generate deformation and excite vibration for the shape control and vibration suppression, respectively. This article proposes a theoretical model for predicting vibrational response of a composite laminate plate with PZT actuators. The bending moment induced by the PZT actuator was obtained and applied on the composite laminate plate. Utilizing composite mechanics and plate theory, an analytical solution of the vibrational response of a composite laminate plate excited by the PZT actuator with oscillating voltage was derived. Furthermore, the finite element analysis using ANSYS software (2019 version) was carried out to compare with the proposed model with a good agreement. A parametric study was performed to investigate the influences of PZT location and frequency on the vibration. Numerical results illustrate that mode can be selectively excited provided the PZT actuator is placed in an appropriate location. Moreover, the proposed model was employed to predict the effectiveness of vibration suppression by distributed PZT actuators. The novelty of this work is that a complicated coupling problem between the composite plate and bonded PZT actuator is resolved into two simple problems, leading to a simple analytical solution for the vibrational response of a composite plate induced by PZT actuators. The proposed model has been successfully demonstrated its applications on the vibration excitation and suppression of a composite laminate plate.

Keywords: composite laminate plate; piezoelectric actuator; suppression; vibration.

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Conflict of interest statement

The authors declare no conflict of interest.

Figures

Figure 1
Figure 1
Schematic diagram of bending moments acting on the composite laminate.
Figure 2
Figure 2
Finite element mesh.
Figure 3
Figure 3
Mode (1,1) natural frequency of the composite laminate varying with the number of elements in the thickness.
Figure 4
Figure 4
Vibrational amplitude (unit: mm) of a composite laminate plate excited by a PZT actuator with frequency of 143 Hz.
Figure 5
Figure 5
Vibrational amplitude distribution along the horizontal line (y = 0.25 m) of the composite laminate plate for the excitation frequencies of 143 Hz and 120 Hz.
Figure 6
Figure 6
Vibrational amplitude distribution along the horizontal line (y = 0.25 m) of the composite laminate plate excited by PZT actuators with three different sizes.
Figure 7
Figure 7
Three different locations of the surface-bonded PZT actuators.
Figure 8
Figure 8
Mode (2,2) shape of a simply supported composite laminate plate.
Figure 9
Figure 9
Vibrational amplitude (unit: mm) of the composite laminate plate excited by a PZT actuator bonded to three different locations.
Figure 10
Figure 10
Periodic PZT 3 × 3 array on the composite laminate plate.
Figure 11
Figure 11
Mode (2,1) shape of the simply supported composite laminate plate.
Figure 12
Figure 12
Vibrational amplitude (unit: mm) of a composite laminate plate excited by the PZT 21 actuator with frequency of 396 Hz.
Figure 13
Figure 13
Vibrational amplitudes along the horizontal line (y = 0.25 m) of the composite laminate plate excited by the PZT 21, PZT 22, PZT 23, and PZT 31 actuators.
Figure 14
Figure 14
Vibrational amplitudes along the horizontal line (y = 0.25 m) of the composite laminate plate excited by the PZT 21, PZT 21 + PZT 23, and PZT 21 + PZT 33 actuators.
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