Nonlinear buckling response of embedded piezoelectric cylindrical shell reinforced with BNNT under electro–thermo-mechanical loadings using HDQM

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

doi:10.1016/j.compositesb.2012.01.052

Cited by 29 publications

(10 citation statements)

References 16 publications

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“…A number of micro blocks shall be considered to form each strip in the x or y direction. A unit cell with a length of X a /X b or Y a /Y b representing the BNNT volume fraction is assumed, as shown in Figure 1 (Tan and Tong, 2001;Ghorbanpour Arani and Haghparast, 2011;Barzoki et al, 2012Barzoki et al, , 2013Arani et al, 2013). The effective characteristics of the unit cell are attained according to the XYPFRC model (Ghorbanpour Arani and Haghparast, 2011):…”

Section: Methodsmentioning

confidence: 99%

“…A microelectromechanical model was used to obtain the electro-thermomechanical features of the composite, whereas nonlinear elasticity theory was adopted for formulation. The nonlinear buckling of cylindrical shells reinforced with BNNT under thermal, electrical and mechanical loads was investigated by Barzoki et al (2013). Drawing on IJSI 14,6 the first-order shear distortion principle and Donnell theory-based nonlinear strains, equations were attained; the equations were then discretized using the harmonic DQM.…”

Section: Introductionmentioning

confidence: 99%

“…The materials used in the current work are different compared to the two mentioned articles that BN is used instead of graphene, which will cause changes in the mechanical properties and finally response the problem. This literature employed a piezoelectric fiber-reinforced composite (PFRC) (Ghorbanpour Arani and Haghparast, 2011;Barzoki et al, 2012Barzoki et al, , 2013Arani et al, 2013) and obtained its properties using a micromechanical model. The model is described, and a hybrid of DQM and statespace method is used to implement the semianalytical free vibration modeling of the BNNTreinforced polymeric composite annular plate.…”

Section: Introductionmentioning

confidence: 99%

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Theoretical and numerical analysis of free vibrations of piezoelectric circular plate reinforced with boron nitride

Moradi,

Ranjbar-Roeintan

2023

IJSI

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PurposeThe purpose of this research is to extract the natural frequencies of a circular plate containing a central hole reinforced with boron nitride nanotubes (BNNTs) and containing piezoelectric layers.Design/methodology/approachA unit cell shall be taken into account for the simulation of BNNT's volume fraction. A rectangular micromechanical model is used to obtain the mechanical properties of unit cell of piezoelectric fiber-reinforced composite (PFRC). The three-dimensional (3D) elasticity method is presented to provide the relationship between displacements and stresses. The one-dimensional differential quadrature method (1D-DQM) and the state-space methodology are combined to create the semi-analytical technique. The state-space approach is utilized to implement an analytical resolution in the thickness direction, and 1D-DQM is used to implement an approximation solution in the radial direction. The composite consists of a polyvinylidene fluoride (PVDF) matrix and BNNTs as reinforcement.FindingsA study on the PFRC is carried, likewise, the coefficients of its properties are obtained using a micro-electromechanical model known as the rectangular model. To implement the DQM, the plate was radially divided into sample points, each with eight state variables. The boundary situation and DQM are used to discretize the state-space equations, and the top and bottom application surface conditions are used to determine the natural frequencies of the plate. The model's convergence is assessed. Additionally, the dimensionless frequency is compared to earlier works and ABAQUS simulation in order to validate the model. Finally, the effects of the thickness, lateral wavenumber, boundary conditions and BNNT volume fraction on the annular plate's free vibration are investigated. The important achievements are that increasing the volume fraction of BNNTs increases the natural frequency.Originality/valueThe micromechanical “XY rectangle” model in PFRC along with the three-dimensional elasticity model is used in this literature to assess how the piezoelectric capabilities of BNNTs affect the free vibration of polymer-based composite annular plates under various boundary conditions.

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Theoretical and numerical analysis of free vibrations of piezoelectric circular plate reinforced with boron nitride

Moradi,

Ranjbar-Roeintan

2023

IJSI

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“…Using the first-order shear deformation theory (FSDT) and the harmonic differential quadrature method, Barzoki et al. 32 could obtain the critical buckling load for a composite cylindrical shell made of PVDF matrix reinforced with BNNTs under combined electro-thermo-mechanical loadings.…”

Section: Introductionmentioning

confidence: 99%

Free vibration of piezoelectric boron nitride nanotube-based composite cylindrical micropanel embedded in an elastic medium subjected to electric potential via modified strain gradient theory

Ghasemi-Ghalebahman

Bigdeli-Yeganeh

Cheloeian

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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This paper deals with the free vibration analysis of a smart polymeric composite sandwich micropanel made of polyvinylidene fluoride reinforced by single-walled boron nitride nanotubes resting on an elastic substrate under an electric field. The analysis procedure is based on the first-order shear deformation theory and modified strain gradient theory to investigate the size-dependent effect. The nanotubes are assumed to be uniformly distributed within the polymeric matrix. The elastomeric substrate is modeled using Winkler springs and a Pasternak shear layer. First, the constitutive equations of the nanocomposite are derived for a unit cell using a micro-electromechanics modeling technique, and the stress–strain relations are subsequently obtained with regard to mechanical and electrical terms. The equations of motion of the micropanel are obtained based on the Hamilton principle. Finally, the natural frequencies of the micropanel are obtained by extracting the mass and stiffness matrices through the method of variational calculus. A parametric study is further performed to investigate the effect of various parameters such as the stiffness of the elastic medium, the effect of electric field, different modes of vibration, aspect ratio, and so on. It is observed that the panel’s stiffness and, consequently, the natural frequency decrease as the aspect ratio increases and the nanotube volume fraction reduces. A comparison is also conducted with the classical continuum theory and modified coupled stress theory.

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“…In another study, Ghorbanpour Arani et al considered electro‐thermo nonlinear vibration of a piezopolymeric rectangular microplate reinforced by zigzag double walled boron nitride nanotubes (DWBNNTs). Nonlinear buckling response of embedded piezoelectric cylindrical shell reinforced with BNNT under electro‐thermo‐mechanical loadings using HDQM was presented by Mosallaie Barzoki . Electro‐thermo‐mechanical nonlinear vibration and instability of a fluid‐conveying smart composite microtube made of polyvinylidene fluoride (PVDF) were investigated by Ghorbanpour Arani et al based on the modified couple stress theory and Timoshenko beam model.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear vibration and instability of rotating piezoelectric nanocomposite sandwich cylindrical shells containing axially flowing and rotating fluid–particle mixture

2016

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Axially flowing and rotating fluid‐particle mixture‐induced vibration and instability of a sandwich cylindrical shell are the main contribution of this work. The sandwich structure is made from a functionally graded carbon nanotube‐reinforced composite (CNTRC) cylindrical shell integrated with piezoelectric sensor and actuator layers. In this regard, the perturbation velocity potential is introduced and the pressure exerted by a fluid is obtained by the linearized Bernoulli formula. The actuator layer is subjected to an applied voltage in thickness direction which operates in control of vibration and stability. Based on Mindlin shell theory, the motion equations are derived and solved by the differential quadrature method (DQM). A detailed parametric study is conducted to elucidate the influences of the vibrational modes, distribution type and volume fractions of single‐walled carbon nanotubes (SWCNTs), boundary conditions, volume percent of particles and applied voltage on the vibration and instability of the structure. Results indicate that the system becomes unstable in the form of flutter in the cases of angular rotation of the shell or fluid as well as axial flow and angular rotation of the fluid while in the case of the rotating shell containing a corotating fluid, the loss of stability does not occur. POLYM. COMPOS., 38:E577–E596, 2017. © 2016 Society of Plastics Engineers

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Nonlinear buckling response of embedded piezoelectric cylindrical shell reinforced with BNNT under electro–thermo-mechanical loadings using HDQM

Cited by 29 publications

References 16 publications

Theoretical and numerical analysis of free vibrations of piezoelectric circular plate reinforced with boron nitride

Theoretical and numerical analysis of free vibrations of piezoelectric circular plate reinforced with boron nitride

Free vibration of piezoelectric boron nitride nanotube-based composite cylindrical micropanel embedded in an elastic medium subjected to electric potential via modified strain gradient theory

Nonlinear vibration and instability of rotating piezoelectric nanocomposite sandwich cylindrical shells containing axially flowing and rotating fluid–particle mixture

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