An Equivalent Circuit of Longitudinal Vibration for a Piezoelectric Structure with Losses

Yuan, Tao; Li, Chaodong; Fan, Pingqing

doi:10.3390/s18040947

Cited by 4 publications

(6 citation statements)

References 30 publications

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“…In this paper, the tangent function tanϕ e is applied to represent the elastic loss factor of the metal substrate, and the tangent functions with superscript “’”— tanδ′, tanϕ′, and tanθ′—are used to represent dielectric, elastic, and piezoelectric loss factors in the PZT (Uchino et al, 2011; Yuan et al, 2018). Here we impose the superscript “*” to indicate the complex number parameters of the PZT and metal substrate (Chen et al, 2006).…”

Section: Losses and The Basic Equation Of The Piezoelectric Structurementioning

confidence: 99%

Coupled longitudinal-flexural vibration characteristics of a piezoelectric structure with losses

Yuan

Guo

et al. 2021

Journal of Intelligent Material Systems and Structures

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The dynamic characteristics studies of piezoelectric structures usually focus on the single vibration modes such as the longitudinal or the flexural mode, and the losses that cause heat generation and energy waste are generally neglected, which leads to discrepancies compared with experiments. In the present paper, a beam-type piezoelectric structure with four kinds of losses under coupled longitudinal-flexural vibration mode is investigated. In this approach, first, impedance matrix of the structure is obtained based on the motion equation and the electrical-mechanical boundary conditions. Secondly, admittance curves of this piezoelectric structure under different boundary conditions are simulated by the equivalent circuit methods that contain four losses—piezoelectric and dielectric losses, as well as two elastic losses. The simulation results by equivalent circuit methods has good agreement with COMSOL results, which demonstrate the effectiveness of the proposed method.

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Section: Losses and The Basic Equation Of The Piezoelectric Structurementioning

confidence: 99%

Coupled longitudinal-flexural vibration characteristics of a piezoelectric structure with losses

Yuan

Guo

et al. 2021

Journal of Intelligent Material Systems and Structures

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“…For the stackable piezoelectric actuator, the polarization direction of each piezoelectric patch is in the x axis. Applying the same external voltage to each piezoelectric patch, the constitutive equations are written as [22] {εx=nCEσxp+ndExDx=ndσxp+nεσEx where σxp is the stress, CE is the elastic compliance constant, d is the piezoelectric strain constant, Ex=u0/th is the electric intensity along the x direction, Dx is the electric displacement, εσ is the dielectric constant, u0 is the external applied voltage, th is the thickness of each piezoelectric patch, and n is the number of piezoelectric patches in the stackable piezoelectric actuator.…”

Section: System Modelingmentioning

confidence: 99%

Multidimensional Vibration Suppression Method with Piezoelectric Control for Wind Tunnel Models

Zhou

Liu

Tang

et al. 2019

Sensors

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In wind tunnel tests, the low-frequency and large-amplitude vibration of the cantilever sting result in poor test data in pitch plane and yaw plane, more seriously, even threatens the safety of wind tunnel tests. To ensure the test data quality, a multidimensional vibration suppression method is proposed to withstand the vibration from any direction, which is based on a system with stackable piezoelectric actuators and velocity feedback employing accelerometers. Firstly, the motion equation of the cantilever sting system is obtained by Hamilton’s principle with the assumed mode method. Then, the multidimensional active control mechanism is qualitatively analyzed and a negative velocity feedback control algorithm combined with a root mean square (RMS) evaluation method is introduced to realize active mass and active damping effect, meanwhile, a weight modification method is performed to determine the sequence number of the stacked piezoelectric actuators and the weight of control voltages in real time. Finally, a multidimensional vibration suppression system was established and verification experiments were carried out in lab and a transonic wind tunnel. The results of lab experiments indicate that the damping ratio of the system is improved more than 4.3 times and the spectrum analyses show reductions of more than 23 dB. In addition, wind tunnel test results have shown that for the working conditions (α = −4~10° with γ = 0° or α = −4~10° with γ = 45°) respectively at 0.6 Ma and 0.7 Ma, the remainder vibration is less than 1.53 g, which proves that the multidimensional vibration suppression method has the ability to resist vibration from any direction to ensure the smooth process of wind tunnel tests.

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“…Since we proceed from the assumption that the materials of the piezoelectric element and structure are elastic, it seems reasonable to take into account energy losses due to the internal loss mechanisms both in the piezoelectric material and in the material of the main structure. The mechanisms of losses in piezoelectric materials have been studied for a rather long time, and in the literature there have been many relevant studies (Ala et al, 2014a, 2014b; Chen et al, 2006; Dong et al, 2017; Holland, 1967; Sherrit (1999); Uchino et al, 2011; Yuan et al, 2018). Holland (1967) and Uchino et al (2011) described in detail the losses in piezoelectric, which could be of three types: dielectric, elastic, and piezoelectric.…”

Section: Introductionmentioning

confidence: 99%

“…This is the energy loss, which occurs in a basic structure made of viscoelastic material, which is a substrate for piezoelectric element. In Yuan et al (2018), the authors emphasized that even in metal (aluminum) structures, in which the metal substrates constitute a larger part of the structure, the energy losses should be taken into account on the equal basis with the losses in piezoelectric ceramics.…”

Section: Introductionmentioning

confidence: 99%

Development of an electrical analogue for modeling natural vibrations of a viscoelastic structure with piezoelectric element

Oshmarin

Sevodina

Iurlova

et al. 2021

Journal of Intelligent Material Systems and Structures

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This paper focuses on the development of an equivalent electrical model with lumped parameters capable of describing the natural vibrations of an electromechanical system comprising a viscoelastic structure with a piezoelectric element attached to its surface. The important advantage of the model is that it takes into account the energy losses associated with the viscoelastic properties of the material of the main structure. Two versions of the equivalent electric analogue of the initial electro-viscoelastic system in the form of electric circuits, the elements of which are described by the real or complex quantities, are considered. The approaches to the formulation of the problem of natural vibrations in the developed electric analogue are based on Kirchhoff’s laws for electric circuits and Ohm’s law for alternating current. Special attention is paid to the identification of model parameters. A procedure for determining the parameters for the equivalent electrical model is based on the results gained from the solution of a coupled problem of natural vibrations of the initial electromechanical system; problem formulation is also given here. The effectiveness and reliability of the developed equivalent electric models with lumped parameters for the determination of complex eigenfrequencies of the electromechanical system containing energy dissipation elements are demonstrated by analyzing the behavior of structures in the form of a rectangular plate and a semi-cylindrical shell.

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An Equivalent Circuit of Longitudinal Vibration for a Piezoelectric Structure with Losses

Cited by 4 publications

References 30 publications

Coupled longitudinal-flexural vibration characteristics of a piezoelectric structure with losses

Coupled longitudinal-flexural vibration characteristics of a piezoelectric structure with losses

Multidimensional Vibration Suppression Method with Piezoelectric Control for Wind Tunnel Models

Development of an electrical analogue for modeling natural vibrations of a viscoelastic structure with piezoelectric element

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