Finite Element Modellingand Simulations of Piezoelectric Actuators Responses with Uncertainty Quantification

Nguyen, Vinh-Tan; Kumar, Pankaj; Leong, Jason Yu Chuan

doi:10.3390/computation6040060

Cited by 27 publications

(21 citation statements)

References 18 publications

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“…The mathematical problem is to find the distribution of the acoustic and electric fields inside the disk [ 15 ]. Due to the fact that the axis of the disk is parallel to the axis of polarization of the piezoceramic, this problem is axisymmetric and can be written in two-dimensional form relative to the cylindrical coordinates r and z .…”

Section: Methodsmentioning

confidence: 99%

The Radial Electric Field Excited Circular Disk Piezoceramic Acoustic Resonator and Its Properties

Teplykh

Зайцев

Semyonov

et al. 2021

Sensors

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A new type of piezoceramic acoustic resonator in the form of a circular disk with a radial exciting electric field is presented. The advantage of this type of resonator is the localization of the electrodes at one end of the disk, which leaves the second end free for the contact of the piezoelectric material with the surrounding medium. This makes it possible to use such a resonator as a sensor base for analyzing the properties of this medium. The problem of exciting such a resonator by an electric field of a given frequency is solved using a two-dimensional finite element method. The method for solving the inverse problem for determining the characteristics of a piezomaterial from the broadband frequency dependence of the electrical impedance of a single resonator is proposed. The acoustic and electric field inside the resonator is calculated, and it is shown that this location of electrodes makes it possible to excite radial, flexural, and thickness extensional modes of disk oscillations. The dependences of the frequencies of parallel and series resonances, the quality factor, and the electromechanical coupling coefficient on the size of the electrodes and the gap between them are calculated.

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Section: Methodsmentioning

confidence: 99%

The Radial Electric Field Excited Circular Disk Piezoceramic Acoustic Resonator and Its Properties

Teplykh

Зайцев

Semyonov

et al. 2021

Sensors

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“…Virtual work of electric field and electric charge is also expressed as 88 where Qe and φe are nodal electric charges and nodal potential vectors, respectively. The strain and electric field intensity are related to nodal displacement and nodal potential vectors, respectively as 89 where Bu and Bϕ are the shape function derivative matrices. 89 Using equations (9) and (10), the constitutive equation (2) can be reformed as …”

Section: Methodsmentioning

confidence: 99%

Material properties identification of a piezoelectric beam using inverse method

Nematollahi

Hasanshahi

Eftekhari

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part C:

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This paper presents an inverse method for material properties identification of a piezoelectric beam (piezoelectric charge and relative dielectric coefficients) using a wavelet-based neural network as an inverse tool. The identification analysis is carried out by using two approaches. In the first approach, i.e. sensor mode analysis, the input data for wavelet-based neural network training are measured voltages at several specific points on the beam's top surface resulting from the applied beam tip deflection. In the second approach, i.e. actuation mode analysis, the input data are values of the beam tip deflection caused by applying voltage on the beam's top surface. In this study, the input parameters employed to train the wavelet-based neural network are obtained using the finite element method. The identification results are compared with those of some conventional neural networks including radial basis function and multilayer perceptron. The results show that the proposed neural network is an efficient tool in the material properties identification problem.

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“…With the development of numerical methods, nowadays an FEM-based numerical approach is very often used. FEM, combined with analytical or experimental solutions, can be used, e.g., to study phenomena such as friction [27][28][29][30], liquid and heat flow [31][32][33] or piezoelectricity [34,35]. This method can also be used to estimate the basic parameters of fracture mechanics, such as the stress intensity factor.…”

Section: Modelling Of Issues Of Sharp Corners Using Finite Element Mementioning

confidence: 99%

Determination of stress intensity factors for elements with sharp corner located on the interface of a bi-material structure or homogeneous material

Mieczkowski

2020

Acta Mech

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This paper presents a new universal analytical and numerical method allowing for determination of stress intensity factors (SIFs) for notches and cracks located in both a homogeneous and a heterogeneous material. An advantage of the proposed method is that it does not require knowledge of an analytical description of singular stress/displacement fields or connection of SIFs to energy parameters such as energy release factor. In this method, a universal analytical function has been used, which in combination with data obtained using finite element method (FEM) allows for a direct determination of stress intensity factors. One parameter that is necessary to know when using the proposed method is the eigenvalue $$\lambda $$ λ . The characteristic equation allowing for determination of the eigenvalues for any corner has been given herein. What is more, also a criterion clearly defining the nodes is determined, from which FEM numerical results are implemented to the developed analytical function. In order to verify the proposed method, for a selected group of geometrical and material structures with sharp corner, values of stress intensity factors were determined and compared to data available in the literature. Satisfactory compliance of obtained results with literature ones was found.

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Finite Element Modellingand Simulations of Piezoelectric Actuators Responses with Uncertainty Quantification

Cited by 27 publications

References 18 publications

The Radial Electric Field Excited Circular Disk Piezoceramic Acoustic Resonator and Its Properties

The Radial Electric Field Excited Circular Disk Piezoceramic Acoustic Resonator and Its Properties

Material properties identification of a piezoelectric beam using inverse method

Determination of stress intensity factors for elements with sharp corner located on the interface of a bi-material structure or homogeneous material

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