A pin-moment model of flexoelectric actuators

Wang, Zhiguo; Xie, Zhengqiu; Huang, Wenbin

doi:10.1504/ijhm.2018.090306

Cited by 10 publications

(5 citation statements)

References 19 publications

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“…For flexoelectric actuation, the only solution available in the literature is for the induced inplane shear force F and moment M induced at the actuator edges based on the pin-force-moment model. Their expressions are given by [59,60]…”

Section: Resultsmentioning

confidence: 99%

“…For flexoelectric actuation, the only solution available in the literature is for the induced in-plane shear force F and moment M induced at the actuator edges based on the pin-force-moment model. Their expressions are given by [59,60] F=(ht22sfalse¯11t)ζfalse(H+1false)3ζfalse(H+1false)2+false(ζ+1false)false(ζ+H2false)κ02emand2emM=(ht312sfalse¯11t)ζfalse(ζ+Hfalse)+2ζHfalse(1+2Hfalse)3ζfalse(H+1false)2+false(ζ+1false)false(ζ+H2false)κ0,}where H=hht,1emζ=sfalse¯…”

Section: Resultsmentioning

confidence: 99%

“…Figure 9 a illustrates the effect of adhesive thickness on the curvature κ of the BST transducer, evaluated considering only the flexoelectric effect. The pin-force-moment model predicts a uniform curvature for the transducer, given by κ=κ0(ζ+H2)/(3ζ(H+1)2+(ζ+1)(ζ+H2)) [59,60]. The same is plotted in the figure for comparison.…”

Section: Resultsmentioning

confidence: 99%

“…Their model assumed a near-rigid host structure compared to the actuator and a perfect bonding between the actuator and the host structure. Wang et al [59] presented a consistent pin-force-moment model for a patch flexoelectric actuator rigidly bonded to a host beam considering the host structure compliance. Wei et al [60] employed this model to obtain an analytical solution for Lamb wave generation in plates using flexoelectric actuators.…”

Section: Introductionmentioning

confidence: 99%

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A flexoelectric actuator model with shear-lag and peel stress effects

Rout

Kapuria

2023

Proc. R. Soc. A.

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Flexoelectric materials are being extensively studied in recent years for potential sensing, actuation, energy harvesting and structural health monitoring applications. However, no analytical model exists in the literature to predict the stress transfer between a flexoelectric transducer and the host structure, considering bonding compliance. In this article, we present an analytical model for the interfacial stresses and deformations of flexoelectric patch actuator(s) bonded to an isotropic host plate considering both shear-lag and peel stress effects at the interface(s). The model is valid for both piezoelectric and flexoelectric effects. The system’s one-dimensional governing equations are derived consistently from the three-dimensional equations for linear dielectric solids obtained using the bulk electric Gibbs energy density function and extended Hamilton’s principle. The transducer and substrate, modelled as classical Kirchhoff plates, undergo both extension and bending deformations. The formulation produces a seventh-order differential equation for the interfacial shear stress, which is solved analytically, satisfying all boundary conditions. The solution is validated by comparing with the available results for piezoelectric actuators with a non-rigid interface and those of flexoelectric actuators based on the pin-force-moment model assuming a rigid interface. Detailed numerical studies are presented to show the effect of the plate, actuator and adhesive parameters on the interfacial stresses and deformations. Finally, the size effect of the actuators at the micro-scale is illustrated.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A flexoelectric actuator model with shear-lag and peel stress effects

Rout

Kapuria

2023

Proc. R. Soc. A.

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“…12,13 investigated vibrational behavior of a CNT resting in viscous fluid. Literature 14–17 studied mechanical characteristics of the various structures. Also, Eslami et al.…”

Section: Introductionmentioning

confidence: 99%

Buckling and vibration characteristics of a carbon nanotube-reinforced spinning cantilever cylindrical 3D shell conveying viscous fluid flow and carrying spring-mass systems under various temperature distributions

Ebrahimi

Hajilak

Habibi

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part C:

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In this article, buckling and vibrational behaviors of a carbon nanotube reinforced spinning cylindrical thick shell carrying spring–mass systems and conveying viscous fluid flow are investigated under various temperature distributions. Also, the installed sensors on the proposed system are considered as a tip mass. The uniform distribution and the functionally graded distribution patterns of reinforcement are considered. The modeled cylindrical thick shell and governing equations are derived by a new three-dimensional refined higher-order theory. Finally, the effects of various types of carbon nanotube reinforcements and other parameters on buckling and vibrational characteristics of the structure are investigated in detail.

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Size-dependent nonlinear secondary resonance of micro-/nano-beams made of nano-porous biomaterials including truncated cube cells

2018

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Porous biomaterials have been utilized in cellular structures in order to mimic the function of bone as a branch of tissue engineering approach. With the aid of nanoporous biomaterials in which the pore size is at nanoscale, the capability of biological molecular isolation becomes more efficient. In the present study, firstly the mechanical properties of nanoporous biomaterials are estimated on the basis of a truncated cube cell model including a refined hyperbolic shear deformation for the associated lattice structure. After that, based upon a nonlocal strain gradient beam model, the size-dependent nonlinear secondary resonance of micro/nano-beams made of the nanoporous biomaterial is predicted corresponding to the both of subharmonic and superharmonic excitations. The non-classical governing differential equation of motion is constructed via Hamilton's principle. By employing the Galerkin technique together with the multiple timescales method, the nonlocal strain gradient frequencyresponse and amplitude-response of the nonlinear oscillation of micro/nano-beams made of a nanoporous biomaterial under hard excitation are achieved. It is shown that in the superharmonic case, increasing the pore size leads to enhance the nonlinear hardening spring-type behavior of jump phenomenon and the height of limit point bifurcations. In the subharmonic case, higher pore size causes to increase the gap between two branches associated with the high-frequency and low-frequency solutions.

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A pin-moment model of flexoelectric actuators

Cited by 10 publications

References 19 publications

A flexoelectric actuator model with shear-lag and peel stress effects

A flexoelectric actuator model with shear-lag and peel stress effects

Buckling and vibration characteristics of a carbon nanotube-reinforced spinning cantilever cylindrical 3D shell conveying viscous fluid flow and carrying spring-mass systems under various temperature distributions

Size-dependent nonlinear secondary resonance of micro-/nano-beams made of nano-porous biomaterials including truncated cube cells

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