Distributed flexoelectric modal signals on circular cylindrical shells

Li, H.; Hu, Kai-Ming; Tzou, H. S.

doi:10.1177/0954406217697999

Cited by 8 publications

(4 citation statements)

References 24 publications

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“…Distributed flexoelectric sensing signal of the double-curvature shell was derived and sensing experiments were conducted to validate the theory, which can be simplified to non-shell and shell structures [1]. In addition, sensing signals of non-shell and shell structures, such as beams, circular rings, and cylindrical shells, have been initially evaluated [2], [3], [4], [5], [6].…”

Section: Introductionmentioning

confidence: 99%

Comparison of Flexoelectric and Piezoelectric Distributed Sensing Signal of Toroidal Shell

Zhang,

Wang,

2023

IEEE Access

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In this study, the flexoelectric and piezoelectric distributed sensing signal of the toroidal shell is discussed. By considering the curvature radii and Lamé parameters of the toroidal shell, dynamic strains are derived based on the double-curvature shell. Flexoelectric and piezoelectric distributed sensing models of the toroidal shell are established. Based on the direct flexoelectric effect and direct piezoelectric effect, the flexoelectric/piezoelectric distributed sensing signal is evaluated respectively. The local neural sensing signal is discussed while the flexoelectric and piezoelectric sensor patches approach to infinitesimal. The neural sensing signal is made of different signal components, and the components effects are discussed to elaborate the difference between the flexoelectric and piezoelectric sensing signal. The results indicate that the membrane-induced signal components and bending-induced signal components both affect the piezoelectric sensing signal, while only the bending-induced signal components affect the flexoelectric sensing signal. To elaborate the significance of the components in different directions, signal induced by different strains in different directions are discussed. The signal induced by the meridional bending strain dominates for the flexoelectric sensing while signal induced by the meridional membrane strain is dominant for piezoelectric sensing.

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Section: Introductionmentioning

confidence: 99%

Comparison of Flexoelectric and Piezoelectric Distributed Sensing Signal of Toroidal Shell

Zhang,

Wang,

2023

IEEE Access

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“…Due to the high strength-to-weight ratio and requirement of a simple manufacturing process, cylindrical shells are widely used in the fields of aerospace, marine, energy and so on [1][2][3]. However, the thin-walled cylindrical shell has the characteristics of dense modes and small damping, which easily cause multi-modal coupled vibration under external broadband excitation.…”

Section: Introductionmentioning

confidence: 99%

Multi-mode Vibration Averagely Control for Cylindrical Shells by Optimally Distributed Piezoelectric Sensors and Actuators

Guo

et al. 2022

J. Vib. Eng. Technol.

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Purpose Multi-modal vibration control often causes modal peaks' reductions unevenly, which makes the active vibration suppression system less effective to the broadband disturbance. To this end, a multi-mode vibration average suppression method for cylindrical shells with optimally distributed piezoelectric sensors and actuators (S/As) is proposed in this paper. Methods Based on the equivalent homogenized parameters of the macro-fiber composite (MFC), the modal control force of MFC with a tilt angle is derived. Its form is similar to that of the modal sensing signal with a tilt angle. A modified S/As placement optimization criterion of maximum observability and controllability for average distribution of the control efficiencies of multi-mode is also proposed. Thus, an optimization model of considering the positions and orientations of orthotropic piezoelectric S/As for the cylindrical shell multi-mode vibration control is established. Result The proposed method is applied to optimize the S/As distribution of a cantilever cylindrical shell. The results of optimization placement show that the S/As are placed near the free ends, their tilt angles tend to π/2 rad. To valid the effectiveness of optimized S/As distribution, a linear quadratic Gaussian (LQG) controller with Kalman filter is applied to control the response of cylindrical shell under the harmonic and transient excitations. Conclusion The vibration control system with S/As distribution optimized by the modified criterion could suppress all the response peaks more averagely than that under the original criterion, and achieve better vibration control performance. In addition, including the tilt angle in the optimization problem, the efficiency and the uniformity of the multi-mode vibration suppression system could be improved.

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“…13–16 Distributed sensing signal based on the double-curvature shell structures had been studied, which can be simplified to beams, cylindrical shells, circular rings and conical shell. 17–20 When considering the external resistance of the external devices, flexoelectric energy harvesters are designed to harvest the vibration energy and closed-loop circuit and flexoelectric energy harvesting theory are studied. 21–24 Since the flexoelectric effect is significant in nanoscale, flexoelectric energy harvester with surface effect in nanoscale is also studied.…”

Section: Introductionmentioning

confidence: 99%

Flexoelectric control of beams with atomic force microscope probe excitation

Zhang

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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Based on the converse flexoelectric effect, flexoelectric actuator is designed and used to control the dynamic displacement of cantilever beams. First, shell-type stress expression based on double-curvature shell induced by the converse flexoelectric effect is developed, which can be simplified to a flexoelectric-laminated cantilever beam by applying two Lamé parameters and beam radius of curvature. Then, the flexoelectric actuator is designed with a conductive atomic force microscope probe and a flexoelectric layer. An inhomogeneous electric field is generated when the external voltage is applied on the atomic force microscope probe and the flexoelectric layer, which leads to stress in the longitudinal direction of beam and control moment. With the flexoelectric-induced bending moment, displacement induced by the external force and flexoelectric actuator is derived. The displacement is related to many parameters, such as actuation voltage, atomic force microscope probe radius and flexoelectric layer thickness. Cases are studied to optimize the control effect with different parameters. Results show that vibration control effect is enhanced with a higher actuation voltage and a smaller atomic force microscope probe radius for each mode. Besides, the thicker flexoelectric layer enhances the control effect with a larger bending moment arm for each mode. Dynamic vibration is controlled effectively by converse flexoelectric effect.

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Distributed flexoelectric modal signals on circular cylindrical shells

Cited by 8 publications

References 24 publications

Comparison of Flexoelectric and Piezoelectric Distributed Sensing Signal of Toroidal Shell

Comparison of Flexoelectric and Piezoelectric Distributed Sensing Signal of Toroidal Shell

Multi-mode Vibration Averagely Control for Cylindrical Shells by Optimally Distributed Piezoelectric Sensors and Actuators

Flexoelectric control of beams with atomic force microscope probe excitation

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