scholarly journals Analysis of Flexural Vibrations of a Piezoelectric Semiconductor Nanoplate Driven by a Time-Harmonic Force

Materials ◽  
2021 ◽  
Vol 14 (14) ◽  
pp. 3926
Author(s):  
Mengen Li ◽  
Qiaoyun Zhang ◽  
Bingbing Wang ◽  
Minghao Zhao

The performance of devices fabricated from piezoelectric semiconductors, such as sensors and actuators in microelectromechanical systems, is superior; furthermore, plate structures are the core components of these smart devices. It is thus important to analyze the electromechanical coupling properties of piezoelectric semiconductor nanoplates. We established a nanoplate model for the piezoelectric semiconductor plate structure by extending the first-order shear deformation theory. The flexural vibrations of nanoplates subjected to a transversely time-harmonic force were investigated. The vibrational modes and natural frequencies were obtained by using the matrix eigenvalue solver in COMSOL Multiphysics 5.3a, and the convergence analysis was carried out to guarantee accurate results. In numerical cases, the tuning effect of the initial electron concentration on mechanics and electric properties is deeply discussed. The numerical results show that the initial electron concentration greatly affects the natural frequency and electromechanical fields of piezoelectric semiconductors, and a high initial electron concentration can reduce the electromechanical fields and the stiffness of piezoelectric semiconductors due to the electron screening effect. We analyzed the flexural vibration of typical piezoelectric semiconductor plate structures, which provide theoretical guidance for the development of new piezotronic devices.

2019 ◽  
Vol 126 (12) ◽  
pp. 125701 ◽  
Author(s):  
Ru Tian ◽  
Jinxi Liu ◽  
Ernian Pan ◽  
Yuesheng Wang ◽  
Ai Kah Soh

Author(s):  
Ahmet Daşdemir

This study aims to investigate the forced vibrations caused by a time-harmonic force from a pre-stressed bi-layered plate resting on a rigid foundation under the action of a time-harmonic pointwise loading. Our investigation was conducted according to a piecewise homogeneous body model utilizing the three-dimensional linearized theory of elastic waves in initially stressed bodies. Throughout this study, we assumed that there is complete contact between the plate and the rigid foundation. The purpose of this study is threefold: the development of a mathematical model to investigate the dynamic response of the pre-stressed bi-layered plate, the analysis of the frequency response of the plate under consideration, and finally, demonstrating the relationship between the initial stress and the dimensionless frequency of the plate. We solved the mathematical model by employing the finite element method. We present our numerical results on the dynamic behavior of the plate. In particular, we have shown that an increase in the values of the aspect ratio of a plate under fixed thickness leads to a decrease in the normal stress resonance values.


1973 ◽  
Vol 51 (23) ◽  
pp. 2459-2463 ◽  
Author(s):  
S. S. Mathur ◽  
M. S. Sagoo

The propagation of microwaves in piezoelectric semiconductors irradiated with an acoustic field has been discussed. It has been shown that the acoustic wave produces appreciably large variation in the carrier concentration in a piezoelectric semiconductor as opposed to a nonpiezoelectric semiconductor. Consequently, the microwaves propagating through such piezoelectric semiconductors get modulated. The resulting sum and difference microwave frequencies do not have the same magnitude. This modulation of the difference frequency under optimum conditions is found to be of the order of 3% in cadmium sulfide, and is measurable. This measurement can be used to determine the piezoelectric constant of a semiconductor.


MRS Advances ◽  
2017 ◽  
Vol 2 (56) ◽  
pp. 3421-3426 ◽  
Author(s):  
C.L. Zhang ◽  
Y.X. Luo ◽  
R.R. Cheng ◽  
X.Y. Wang

ABSTRACTPiezoelectric semiconductors (PS) nanofibers, which simultaneously exhibit piezoelectricity and unique electric conductive behavior, have huge applications in sensors, energy harvesters, and piezoelectric field effect transistors. Electromechanical fields and charge carrier in PS nanofibers can be effectively controlled by a mechanical force. One-dimensional linear equations for PS nanofibers, which are suitable for small axial force and small electron concentration perturbation, are presented. Analytical expressions for the electromechanical fields and electron concentration in the fiber are obtained. Numerical results show that the electromechanical fields near the two ends are sensitive to the initial electron concentration and the applied axial force.


The paper studies wave transmission along an infinite fluid-loaded elastic membrane supported by a finite array of irregularly spaced thin ribs, all having infinite mechanical impedance, except for the first, which is driven by a time-harmonic force. When the Green’s function of the unribbed structure is taken to consist only of its subsonic surface wave component, the response of the structure is exponentially localized (Anderson localization). A localization length is calculated, as a function of frequency, in both the small and the large disorder limits and in both of these limits the calculated localization length is found to agree extremely well with the results of numerical simulations. When a weak acoustic component is included in the Green’s function, it is shown that the exponential localization is short-circuited, the response now decaying algebraically with distance from the first rib, and with negligible sensitivity to disorder, even for rather large degrees of disorder.


2017 ◽  
Vol 22 (3) ◽  
pp. 521-537 ◽  
Author(s):  
A. Daşdemir

AbstractThe forced vibration of a multi-layered plate-strip with initial stress under the action of an arbitrary inclined time-harmonic force resting on a rigid foundation is considered. Within the framework of the piecewise homogeneous body model with the use of the three-dimensional linearized theory of elastic waves in initially stressed bodies (TLTEWISB), a mathematical modelling is presented in plane strain state. It is assumed that there exists the complete contact interaction at the interface between the layers and the materials of the layer are linearly elastic, homogeneous and isotropic. The governing system of the partial differential equations of motion for the considered problem is solved approximately by employing the Finite Element Method (FEM). Further, the influence of the initial stress parameter on the dynamic response of the plate-strip is presented.


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