Electro-thermo-mechanical torsional buckling of a piezoelectric polymeric cylindrical shell reinforced by DWBNNTs with an elastic core

Barzoki, A.A. Mosallaie; Arani, A. Ghorbanpour; Kolahchi, Reza; Mozdianfard, Mohammad Reza

doi:10.1016/j.apm.2011.09.093

Cited by 51 publications

(18 citation statements)

References 11 publications

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“…In this section, the numerical results of a polyethylene (PE) microplate reinforced with CNTs integrated with PVDF layers are presented. The material properties of the PE, CNT, and PVDF are given in Table . In addition, due to rare of surface constants of piezoelectric materials, here as an approximation, we choose

E^{s} \approx 7.8 N / m

[20].…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Vibration analysis of nanocomposite microplates integrated with sensor and actuator layers using surface SSDPT

2016

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In the present work, nonlinear vibration analysis of polymeric nanocomposite microplates integrated with polyvinylidene fluoride (PVDF) layers as sensors and actuators is investigated. The middle layer is reinforced with carbon nanotubes (CNTs) and it's equivalent material properties are obtained by Mori–Tanaka approach. The nanocomposite and PVDF layers are subjected, respectively, to 2D magnetic and 3D electric fields. The system is rested on an elastic medium which is simulated with orthotropic Pasternak foundation. Based on the quasi‐3D sinusoidal shear deformation plate theory (SSDPT), the motion equations are derived considering surface effects using Gurtin–Murdoch theory. A partial‐differential (PD) controller is applied for the active control of the frequency through a closed‐loop control with bonded distributed PVDF sensors and actuators. Differential quadrature method (DQM) is applied in order to obtain the nonlinear frequency of microstructure. The detailed parametric study is conducted, focusing on the combined effects of the nonlocal parameter, magnetic field, surface stress, elastic medium, volume percent of CNTs, applied voltage, controller, and boundary conditions on the vibration behavior of microstructure. Results depict that applying the controller, the frequency significantly decreases. This investigation may be important for the design and smart control of microdevices. POLYM. COMPOS., 39:1936–1949, 2018. © 2016 Society of Plastics Engineers

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E^{s} \approx 7.8 N / m

[20].…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Vibration analysis of nanocomposite microplates integrated with sensor and actuator layers using surface SSDPT

2016

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“…The constitutive relationship of a piezoelectric structure under combined mechanical, thermal and electrical loadings can be expressed as follows [15] =  are elastic constants, piezoelectric constant, dielectric constants, respectively. The material constants of the structure can be calculated using "XY (or YX) rectangle model" [17].…”

Section: Constitutive Equationsmentioning

confidence: 99%

“…The closed-form formula used in "X model" (or "Y model") expressing the mechanical, the thermal and the electrical properties of the material are as follows [15]: 66 31 31 31 11 11 11 12 31 12 31 12 31 32 32 32 11 11 11 13 31 13 31 13 31 33 33 33 11 11 11 24 24 24 2 22 22 22 2 2 2 31 31 31 33 33 33 11 11 11 1 1 1…”

Section: Constitutive Equationsmentioning

confidence: 99%

Nonlinear Bending of Piezoelectric Cylindrical Shell Reinforced with BNNTs under Electro-Thermo-Mechanical Loadings

Yang¹,

Zhang²

2015

MSA

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Under combined electro-thermo-mechanical loadings, the nonlinear bending of piezoelectric cylindrical shell reinforced with boron nitride nanotubes (BNNTs) is investigated in this paper. By employing nonlinear strains based on Donnell shell theory and utilizing piezoelectric theory including thermal effects, the constitutive relations of the piezoelectric shell reinforced with BNNTs are established. Then the governing equations of the structure are derived through variational principle and resolved by applying the finite difference method. In numerical examples, the effects of geometric nonlinear, voltage, temperature, as well as volume fraction on the deflection and bending moment of axisymmetrical piezoelectric cylindrical shell reinforced with BNNTs are discussed in detail. 744properties [2] and high thermal conductivity [3]. With the development of science and technology, a new sort of smart nanocomposites, with piezoelectric material as matrix and BNNTs as the reinforcement, has attracted increasing interests in both research and engineering communities. It is noted that the investigations on this new smart nanocomposites are limited in number and most discuss the linear problem. Therefore, it is necessary to do more extensive researches on the nonlinear behavior for this structure.At present, most researches are limited to discussing the behavior of piezoelectric structure without reinforcement of BNNTs. Yao et al. [4] presented static behaviors of piezoelectric cantilever actuator under large electric field. Shen [5] studied the nonlinear bending for a simply supported, shear deformable cross-ply laminated plate with piezoelectric actuators subjected to a transverse uniform or sinusoidal load combined with electrical loads and in thermal environments. Shegokar et al. [6] deals with the stochastic nonlinear bending response of functionally graded materials beam with surface bonded piezoelectric layers subjected to thermo-electro-mechanical loadings. Narita et al. [7] illustrated an analytical and experimental study of nonlinear bending response and domain wall motion in piezoelectric laminated actuators under electric fields. Beldica et al. [8] analyzed the bending of nonlinear viscoelastic beams with small or large deformations. Yan et al. [9] investigated the timedependent behavior of a simply supported, angle-ply piezoelectric laminate in cylindrical bending with viscoelastic interfaces. Narita et al. [10] discussed the static electromechanical displacement and polarization switching properties of piezoelectric laminated actuators under three point bending. Using a variational formulation, Li et al. [11] developed a size-dependent functionally graded piezoelectric beam model. Based on the local Petrov-Galerkin approach, Sladek et al.[12] proposed a meshless method for plate bending analysis with functionally graded piezoelectric material properties. Employing Euler-Bernoulli beam theory and the physical neutral surface concept, Fu et al. [13] presented the thermo-piezoelectric buckling, nonlinear free...

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“…The closed‐form formulae used in “X model” (or “Y model”) expressing the mechanical, thermal, and electrical properties of the composite as explained in Eqs . are :

\begin{matrix} C_{11} = \frac{C_{11}^{r} C_{11}^{m}}{ρ C_{11}^{m} + true(1 - ρ true) C_{11}^{r}}, \\ C_{55} = \frac{1}{\frac{ρ \in_{11}^{r}}{C_{55}^{r} \in_{11}^{r}} + \frac{true(1 - ρ true) \in_{11}^{m}}{C_{55}^{m} \in_{11}^{m}}}, \\ e_{11} = C_{11} true[\frac{ρ e_{11}^{r}}{C_{11}^{r}} + \frac{true(1 - ρ true) e_{11}^{m}}{C_{11}^{m}} true], \\ \in_{11} = \frac{1}{\frac{ρ C_{55}^{r}}{C_{55}^{r} \in_{11}^{r}} + \frac{true(1 - ρ true) C_{55}^{m}}{C_{55}^{m} \in_{11}^{m}}}, \end{matrix}

where superscripts r and m refer to the reinforced and matrix components of the composite, respectively.

ρ

denotes the vol% of the reinforced DWBNNTs in the matrix.…”

Section: Basic Formulationsmentioning

confidence: 99%

“…PVDF is an ideal piezoelectric matrix owing to characteristics including flexibility in thermoplastic conversion techniques, excellent dimensional stability, abrasion and corrosion resistance, high strength, and capability of maintaining its mechanical properties at elevated temperature. Analysis of smart structures has been an active area of research in the past decade . Salehi‐Khojin and Jalili investigated the buckling of BNNTs in a PVDF elastic medium subjected to combined electro‐thermo‐mechanical loadings.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration of embedded smart composite microtube conveying fluid based on modified couple stress theory

2014

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Electro-thermo-mechanical nonlinear vibration and instability of a fluid conveying smart composite microtube made of polyvinylidene fluoride (PVDF) are investigated in this article based on the modified couple stress theory and Timoshenko beam model. The composite matrix is reinforced by double-walled boron nitride nanotubes (BNNTs). Mechanical, electrical, and thermal characteristics of equivalent composite are determined based on micromechanical model. The surrounded elastic medium is taken into account using Winkler and Pasternak models. Considering the smallsize effects and slip boundary conditions of microflow through Knudsen number and applying Hamilton's principle, the coupled differential equations, containing displacement and electric potential terms, are obtained. The differential quadrature method is applied to discretize the coupled governing equations and boundary conditions, which are then solved to obtain the nonlinear frequency and critical fluid velocity of the fluid-conveying microtube. The detailed parametric study is conducted, focusing on the combined effects of the Knudsen number, nonlocal parameter, BNNT volume percent, temperature change, elastic medium, and aspect ratio on the nonlinear frequency and critical fluid velocity. Results indicate that the natural frequency and the critical fluid velocity of the smart composite microtube increase with increasing the small-scale parameter. POLYM. COMPOS., 36:1314-1324, 2015

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Electro-thermo-mechanical torsional buckling of a piezoelectric polymeric cylindrical shell reinforced by DWBNNTs with an elastic core

Cited by 51 publications

References 11 publications

Vibration analysis of nanocomposite microplates integrated with sensor and actuator layers using surface SSDPT

Vibration analysis of nanocomposite microplates integrated with sensor and actuator layers using surface SSDPT

Nonlinear Bending of Piezoelectric Cylindrical Shell Reinforced with BNNTs under Electro-Thermo-Mechanical Loadings

Nonlinear vibration of embedded smart composite microtube conveying fluid based on modified couple stress theory

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