Modal signal analysis of conical shells with flexoelectric sensors

Li, H.; Hu, Shun-di; Tzou, H. S.

doi:10.1177/1045389x14544150

Cited by 14 publications

(4 citation statements)

References 23 publications

(26 reference statements)

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“…G^(∇) is the gradient operator matrix which is defined as following in the shell coordinate system 20 where G^k=1Ak(1+α3/Rk)∂∂αk, ( k = 1,2), A k is Lamé parameters and R k is the radius of the curvature. Constituting equations (3) and (4) into equation (2) yields …”

Section: Flexoelectric Actuation Mechanismmentioning

confidence: 99%

“…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%

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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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Section: Flexoelectric Actuation Mechanismmentioning

confidence: 99%

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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“…Li et al. [38] applied flexoelectric sensors for natural modal signal analysis of conical shells. Their results showed that the distributions of the total signal and both components are sinusoidal in the circumferential direction.…”

Section: Introductionmentioning

confidence: 99%

Buckling analysis of nanocomposite sandwich plates with piezoelectric face sheets based on flexoelectricity and first-order shear deformation theory

Amir

Khorasani

BabaAkbar-Zarei

2018

Jnl of Sandwich Structures & Materials

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In piezoelectric materials and at the nano-scale, there is a coupling between electrical polarization and strain gradients fields, which is called flexoelectricity. The effects of this phenomenon seem to be negligible in micro/macro scales. The current study has attempted to have a cohesive concentration on the buckling behaviors of sandwich plates. To achieve the abovementioned aim with a higher accuracy, the flexoelectric effect assumes to be existing on the top and bottom face sheets and the core is a composite plate. Also, based on statistics, the first-order shear deformation theory seems to lead to more accurate results. Therefore, in the present research we follow this method to obtain results. The analytical method is applied to solve higher order governing equations. In addition, the critical buckling voltage is calculated considering the flexoelectricity, and it is found that the effects of flexoelectricity play significant roles in determining the critical buckling voltage. Moreover, it is revealed that the thickness of the flexoelectric face sheets and the aspect ratio of the sandwich plate play the same role in critical buckling load variations. It means that the critical buckling load decreases when the thickness of the flexoelectric face sheets or the aspect ratio of the sandwich plate increases and vice versa. The results of the present work can be used for the optimum design and control of similar systems such as micro-electro-mechanical and nano-electromechanical devices.

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“…In contrast, the signals of the flexoelectric sensors on thin shells consists of only two bending components. 23,24 This study investigates the direct flexoelectric electromechanical coupling behavior and evaluates the distributed modal flexoelectric signals of the flexoelectric sensor segments laminated on the circular cylindrical shells. Mathematical modeling of the circular cylindrical shells laminated with flexoelectric patches is presented first, followed by signal analysis of the natural modes of shells.…”

Section: Introductionmentioning

confidence: 99%

Distributed flexoelectric modal signals on circular cylindrical shells

Tzou

2017

Proceedings of the Institution of Mechanical Engineers, Part C:

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Flexoelectricity exhibits both direct effect and converse effect. For direct flexoelectric effect, mechanical strain gradients induce a homogeneous electric polarization in dielectrics. Thus, the induced electric field between the electrodes can be measured. Compared with the piezoelectric sensors, the main advantage of the flexoelectric sensors is that they are not sensitive to the in-plane strains. This paper presents segmented flexoelectric sensors laminated on circular cylindrical shells, and investigates the electromechanical strain-gradient/signal-generation characteristics and distributed modal flexoelectric signals on the cylindrical shells. The dynamic equations of the proposed flexoelectric sensor are derived based on the direct flexoelectric effect and thin shell assumptions. The model of modal signal is derived to investigate the sensing characteristics. In case studies, the effects of design parameters, i.e. size and thickness of the sensors and geometry of the shells, are evaluated and compared. Numerical results indicate that the contribution of longitudinal bending strain gradient is dominant in the total signals of most evaluated modes, except that in modes 1 and 2, where the contribution of the circumferential bending strain gradient is slightly higher. The amplitudes of the modal signals decrease with the shell radius, but increase with the sensor thickness.

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Modal signal analysis of conical shells with flexoelectric sensors

Cited by 14 publications

References 23 publications

Flexoelectric control of beams with atomic force microscope probe excitation

Flexoelectric control of beams with atomic force microscope probe excitation

Buckling analysis of nanocomposite sandwich plates with piezoelectric face sheets based on flexoelectricity and first-order shear deformation theory

Distributed flexoelectric modal signals on circular cylindrical shells

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