An investigation over the effect of piezoelectricity and porosity distribution on natural frequencies of porous smart plates

Askari, Majid; Saidi, A.R.; Rezaei, A.S.

doi:10.1177/1099636218791092

Cited by 18 publications

(10 citation statements)

References 33 publications

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“…It should be noted that in both bimorph and unimorph sandwich structures considered in this study, the piezoelectric layers and the substrate are assumed to be perfectly bonded together with an adhesive layer of negligible thickness, therefore there is no relative displacement between the layers of the sandwich panel. This assumption has been considered in a wide range of published works in this field [15,[50][51][52][53][54][56][57][58][59][60][61][62][63][64][65][66].…”

Section: Kinematic Assumptionsmentioning

confidence: 99%

“…It is assumed that the material properties such as elasticity modulus and mass density in the host layer are varied through the thickness direction due to the existence of internal pores. Various rules are presented in the literature to model the variation of mechanical properties in porous materials [30,[35][36][37][38][39][40][65][66][67]. However, the effective Young's modulus E(z), shear elastic modulus G(z) and mass density ρ(z) within the porous substrate are considered to have the following nonlinear variations along the thickness [67]:…”

Section: (A)mentioning

confidence: 99%

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Electromechanical Vibration Characteristics of Porous Bimorph and Unimorph Doubly Curved Panels

2020

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The aim of this study is developing an analytical solution for the free vibration of piezoelectric bimorph and unimorph doubly curved panels with a porous substrate. The panel is assumed to be relatively thick, and the effects of its shear deformation are taken into account. Nonlinear models are considered to describe the variation of mechanical properties and of the electric potential within porous host and piezoelectric layers, respectively. Furthermore, short and open circuit electrical conditions are studied to predict the frequency response for sensing and actuation applications. Employing the first-order shear deformation theory (FSDT), in conjunction with the Hamilton’s variational principle and Maxwell’s equation allows deriving six highly coupled partial differential equations to describe the system dynamics under electromechanical coupling. After analytically solving those equations for simply supported panels, the system frequency response is investigated, for various values of design parameters such as porosity, electrical boundary conditions, and geometry. Moreover, some types of smart panels, including bimorphs and unimorphs layouts, are analyzed. The analysis confirms that the above-mentioned parameters play major roles in the natural frequency response of this system and must be carefully considered in the mechatronic design of this smart structure, although they allow to tailor the system behaviour to the selected application.

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Section: Kinematic Assumptionsmentioning

confidence: 99%

Section: (A)mentioning

confidence: 99%

Electromechanical Vibration Characteristics of Porous Bimorph and Unimorph Doubly Curved Panels

2020

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“…Role of piezoelectricity in composite plates: In a study by Askari et al, 19 the effects of piezoelectricity and porosity distribution on the natural frequencies of porous smart plates were evaluated, revealing that the frequency changes strongly influenced the type of porosity. Similarly, Wang 20 investigated the electromechanical vibration of porous piezoelectric FGM plates in the transfer state.…”

Section: Literature Reviewmentioning

confidence: 99%

“…Equation (19) indicates that the electric potential at the coinciding point of piezoelectric layers with the porous core is equal to zero, while this value is equal to U t x; y; t ð Þ at the upper layer and ÀU b x; y; t ð Þat the lower layer. By substituting equation (19) with equation ( 18), the electric field of piezoelectric layers is derived by equation (20). 30…”

Section: Stress-strain Relations In Piezoelectric Layersmentioning

confidence: 99%

Free vibration analysis of a composite elliptical plate made of a porous core and two piezoelectric layers

Balak

Mehrabadi

Monfared

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part L:

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Porous materials are used extensively to manufacture beams, plates, and shells, and have been studies from different perspectives. Composite porous plates in various shapes and dimensions have numerous industrial applications. The vibration behaviors of rectangular and circular plates have been previously studied; however, less attention has been paid to the analysis of complex configuration, such as elliptical plates. We analyzed the free vibration of composite elliptical plates, consisting of a porous core and two piezoelectric layers. The governing equations were based on the classical plate theory and Rayleigh–Ritz’s energy method. The properties of porous materials with varying thickness of the core and porosity distributions continuously undergo changes due to the intended applications and functions. The proposed theoretical functions satisfy the boundary conditions in simple and clamped forms, and with a high degree of accuracy in the frequencies. Finally, we investigated the effects of important variables, such as geometric parameters and material specifications on the natural frequencies. The results of our analyses were consistent with the findings of previous studies. Based on our vibration analyses, the most crucial factors in composite elliptical plates are geometrical parameters, material specifications, and their effects on the vibration frequencies of the proposed model.

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“…The influence of porosity aspects on natural frequencies for porous plates located between piezoceramic faces were studied using Mindlin plate theory (MPT) and variational principle in Moradi-Dastjerdi et al. [55]. The static and vibrational deflections of FG PGNC plates with piezoceramic faces and FG profiles of porosity dispersions were presented using FEM and a C 0 type HSDT [56].…”

Section: Introductionmentioning

confidence: 99%

Temperature effect on free vibration response of a smart multifunctional sandwich plate

Moradi‐Dastjerdi

Behdinan

2020

Jnl of Sandwich Structures & Materials

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A smart multifunctional sandwich plate with a wide range of applications can be produced by proper arrangement of its layers. This paper offers a smart multifunctional sandwich plate with one central lightweight porous layer, two middle polymer/graphene nanocomposite layers and two active faces made of a piezoceramic material. The coupled effects of temperature conditions and piezoelectric behavior on the natural frequencies of the proposed smart multifunctional sandwich plate located on elastic foundations have been studied in the current research. For the dispersions of graphene particles and pores inside host layers, different functional profiles have been considered. Moreover, graphene particles and polymeric materials with temperature-dependent material properties have been adopted. The mechanical properties of polymer/graphene nanocomposite are evaluated by employing Halpin-Tsai approach which is modified to capture nanoscale effects. Eventually, the coupled governing eigenvalue equations of the proposed smart multifunctional sandwich plate are derived using a third-order theory called TSDT and are studied by a developed meshless solution. In addition, the effects of graphene, porosity, geometric and foundation aspects on the natural frequency of the proposed smart multifunctional sandwich plate are studied. The results disclose that the natural frequencies of the proposed smart multifunctional sandwich plates are improved by embedding pores in core layer due to the remarkable reduction of structural weight. It is worth noting that nanocomposite layers can completely compensate the structural stiffness reduction caused by embedding pores in the core.

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An investigation over the effect of piezoelectricity and porosity distribution on natural frequencies of porous smart plates

Cited by 18 publications

References 33 publications

Electromechanical Vibration Characteristics of Porous Bimorph and Unimorph Doubly Curved Panels

Electromechanical Vibration Characteristics of Porous Bimorph and Unimorph Doubly Curved Panels

Free vibration analysis of a composite elliptical plate made of a porous core and two piezoelectric layers

Temperature effect on free vibration response of a smart multifunctional sandwich plate

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