An analytical solution for free and forced vibration of a piezoelectric laminated plate coupled with an acoustic enclosure

Shahraeeni, Mehran; Shakeri, Rezgar; Hasheminejad, Seyyed M.

doi:10.1016/j.camwa.2015.03.022

Cited by 21 publications

(10 citation statements)

References 30 publications

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“…When the iterations n = 1, nine undetermined constants B 1jkl (j = 1, 2, 3; k = 1, 2; l = 1, k) can be solved through simultaneous Equations (16), (17), (25) and (26). The corresponding others B 1jkl (j = 1, 2, 3; k = 1, 2; l = 1, k) can be solved through simultaneous Equation (20).…”

Section: Green's Function Of An Orthotropic Piezoelectric Platementioning

confidence: 99%

“…In additions, Wang et al [22], Li et al [23] and Vel et al [24] all studied the piezoelectric plate in bending conditions. Askari et al [25], Shahraeeni et al [26] and Hosseini-Hashemi et al [27] all studied the free vibration of a piezoelectric plate with different shapes. Ballhause et al [28] presented multilayered theories for piezoelectric plates by the Murakami zig-zag function method.…”

Section: Introductionmentioning

confidence: 99%

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A method for the coupled field of an orthotropic piezoelectric plate subjected to an arbitrary electro-mechanical load

Shang¹,

Hou

Tong

2020

Mathematics and Mechanics of Solids

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There are a number of plate-type piezoelectric devices in engineering, hence it is crucial to search for a method that can accurately acquire the electro-mechanical coupled field of a piezoelectric plate. A method for calculating the coupled field of an orthotropic piezoelectric plate with arbitrary thickness under an arbitrary electro-mechanical load is put forward in this article. First, the Green’s function solution of an orthotropic piezoelectric plate subjected to a line charge and a normal line force is derived based on the general solution of the orthotropic piezoelectric material. All stress and electric components of the orthotropic piezoelectric plate are derived when the general solution is substituted into suitable harmonic functions containing undetermined constants. Once the boundary conditions and electro-mechanical equilibrium conditions are satisfied, those constants can be solved. In addition, according to the obtained Green’s function solution and superposition principle, the coupled field of the orthotropic piezoelectric plate subjected to an arbitrary electro-mechanical load can be solved. Numerical results indicate that the convergence and precision of the method are quite good. A concise skill without repeated calculations is also presented for acquiring the coupled fields in the orthotropic piezoelectric plates with various thickness, which facilitates the effective design of plate thickness in plate-type piezoelectric devices. Finally, some valuable conclusions for the fine design of plate-type piezoelectric sensors, energy harvesters and actuators are presented based on the numerical results.

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Section: Green's Function Of An Orthotropic Piezoelectric Platementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A method for the coupled field of an orthotropic piezoelectric plate subjected to an arbitrary electro-mechanical load

Shang¹,

Hou

Tong

2020

Mathematics and Mechanics of Solids

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show abstract

“…are the unknown mechanical displacement and the electric potential vector for the i th node of the element. Similarly, the mid-plane linear and nonlinear strain vectors in terms of their nodal displacement vector can be written as 32 Substituting equations (15) and (17) in equation (18) and using equation 20the system governing equation can be conceded as…”

Section: System Governing Equationmentioning

confidence: 99%

“…Similarly, the free and forced vibration responses of the smart layered composite with an acoustic enclosure is provided by Shahraeeni et al. 17 using the classical lamination theory (CLT). Jiang et al.…”

Section: Introductionmentioning

confidence: 99%

“…Analytical solutions for the nonlinear dynamic response of layered composite plate with piezoelectric material subjected to combined thermo-electromechanical loading is presented by Huang and Shen 16 by considering the geometrical nonlinearity in von Karman sense. Similarly, the free and forced vibration responses of the smart layered composite with an acoustic enclosure is provided by Shahraeeni et al 17 using the classical lamination theory (CLT). Jiang et al 18 also developed an analytical solution approach by using refined plate theory to analyse the dynamic responses of the piezoelectric laminated plate.…”

Section: Introductionmentioning

confidence: 99%

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Numerical and experimental nonlinear dynamic response reduction of smart composite curved structure using collocation and non-collocation configuration

Singh

Hirwani

Panda

et al. 2018

Proceedings of the Institution of Mechanical Engineers, Part C:

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In this work, a generic geometrical nonlinear mathematical model of smart composite curved shell panels has been developed for the evaluation of the linear and nonlinear dynamic responses. Further, the dynamic deflections are reduced by employing the piezoelectric material with the parent composite using two different arrangements (sensor and actuator). The current layered structure model is developed based on the higher-order mid-plane kinematics including the stretching effect. The electric potential due to the piezoelectric material included via a quadratic function of thickness for the current combined electro-elastic modeling. The geometrical distortion of the smart shell panel structure accounted via Green-Lagrange strain field including all of the nonlinear higher-order terms. The desired responses are evaluated computationally using an original computer code (MATLAB environment) with the help of the current higher-order model and finite element steps. The nonlinear dynamic deflection values are obtained through the direct iterative method in conjunction with Newmark’s integration. Additionally, the accuracy of the proposed model is demonstrated via comparison study with the available published literature with and without electric field potential. The reduction of response frequencies is also compared with the in-house experimental data. Lastly, few more numerical examples are computed for the various geometrical parameter including the shell configuration and the comprehensive behaviour of the currently developed nonlinear numerical model for the analysis of smart layered structure discussed in details.

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Forced Vibrations of Pre-Stressed Sandwich Plate-Strip with Elastic Layers and Piezoelectric Core*

Daşdemir

2018

Int Appl Mech

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An analytical solution for free and forced vibration of a piezoelectric laminated plate coupled with an acoustic enclosure

Cited by 21 publications

References 30 publications

A method for the coupled field of an orthotropic piezoelectric plate subjected to an arbitrary electro-mechanical load

A method for the coupled field of an orthotropic piezoelectric plate subjected to an arbitrary electro-mechanical load

Numerical and experimental nonlinear dynamic response reduction of smart composite curved structure using collocation and non-collocation configuration

Forced Vibrations of Pre-Stressed Sandwich Plate-Strip with Elastic Layers and Piezoelectric Core*

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