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Purpose <p>In the present study, the active vibration control of carbon nanotube (CNT) reinforced functionally graded plates is studied for distributed loading and center and off-center impact loading.</p> Methodology <p>In the analytical model, Reddy′s higher-order shear deformation theory (HSDT) is applied for the thick host plate, while adopting classical plate theory for the actuators and sensors. Also, the governing equation of motion is formulated by Hamilton’s principle and are solved using the assumed mode method. This study investigates the vibration control improvements through the use of the twelve different arrangements of piezoelectric patches. The location of piezoelectric patches are selected based on mode shapes and loading condition. The vibration amplitude and the settling time are calculated to distinguish between arrangements and find the best one in terms of the maximum reduction of the vibration amplitude and the maximum damping speed.</p> Results and Conclusion <p>In distributed loading, the maximum damping occurs when the actuator/sensor pairs are bonded between the peak values of the first two mode shapes. However, in impact loading the proximity of piezoelectric patches to the load has a significant role. By increasing the number of piezoelectric patches the settling time is decreased, while the amplitude of vibration does not necessarily decreased.</p>

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Active vibration control of functionally graded plates with various arrangements of the piezoelectric patch

  • 期刊论文

  • 发表日期：

    2025年3月14日

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  • A. Mahtab,
  • Z. Zamani

摘要

Purpose

In the present study, the active vibration control of carbon nanotube (CNT) reinforced functionally graded plates is studied for distributed loading and center and off-center impact loading.

Methodology

In the analytical model, Reddy′s higher-order shear deformation theory (HSDT) is applied for the thick host plate, while adopting classical plate theory for the actuators and sensors. Also, the governing equation of motion is formulated by Hamilton’s principle and are solved using the assumed mode method. This study investigates the vibration control improvements through the use of the twelve different arrangements of piezoelectric patches. The location of piezoelectric patches are selected based on mode shapes and loading condition. The vibration amplitude and the settling time are calculated to distinguish between arrangements and find the best one in terms of the maximum reduction of the vibration amplitude and the maximum damping speed.

Results and Conclusion

In distributed loading, the maximum damping occurs when the actuator/sensor pairs are bonded between the peak values of the first two mode shapes. However, in impact loading the proximity of piezoelectric patches to the load has a significant role. By increasing the number of piezoelectric patches the settling time is decreased, while the amplitude of vibration does not necessarily decreased.