A refined hybrid plate theory for composite laminates with piezoelectric laminae

Mitchell, John; Reddy, J. N.

doi:10.1016/0020-7683(94)00229-p

Cited by 337 publications

(153 citation statements)

References 14 publications

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“…A typical piezoelectric material used for TWUM's (i.e. PZT ceramics) is relatively stiff, when compared against PVDF (polyvinyledene flouride) for instance, so the thicker the layer the smaller the effective electric field [39], which in turn reduces the resulting deflections. Moreover, the coupling of the charge equations and the momentum equations is increased through the dielectric constant, for that case.…”

Section: Strain Induced Methods and Modelling Of The Electric Potentialmentioning

confidence: 99%

“…Several fine theories can be used to model asymmetric laminated plates: the classical laminated plate theory (CLPT), which is attributed in its complete form to Reissner and Stavsky [37]; first order [38] and higher order shear deformation theories [33,39,40], with and without rotary inertia, are probably the most important approaches. However, it is too difficult to obtain closed-form solutions with these theories.…”

Section: Vibration Of Heterogeneous Laminated Platesmentioning

confidence: 99%

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Modelización del estator de un motor piezoeléctrico de onda viajera: una revision integrada y nueva perspectiva

Rodríguez¹,

Ceres²,

Calderón³

et al. 2004

Bol. Soc. Esp. Ceram. Vidr.

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Articles from different areas which are closely related to the modelling of the stator of travelling wave ultrasonic motors (TWUMs) are reviewed in this work. Thus, important issues relevant to this problem are identified from the areas of vibration of annular plates, laminated plate theories, and modelling of piezoelectric transducers. From this integrated point of view, it becomes clear that there are some very important issues yet to be addressed in the modelling of TWUMs. Firstly, the influence of material properties and stator dimensions on output efficiency, electromechanical coupling coefficients (EMCC) and maximum output energy is to be investigated in more detail. Secondly, the modelling of the electric potential field (by explicitly including the charge equation) for TWUMs seems to be a must for better prediction of displacements and electric fields close to the resonance, as suggested by some recent works [1]. Moreover, the improvement of current models by using shear deformation (or higher order) laminated plate theories (LPTs) in conjunction with approximated methods of solution are discussed. In addition to analytical models, those works using Finite Element and Finite difference Methods (FEM and FDM) for the modelling and simulation of the TWUM stator dynamics are reviewed. Keywords: analytical model, piezoelectric motor, resonant actuation Modelización del estator de un motor piezoeléctrico de onda viajera: una revision integrada y nueva perspectivaEn este trabajo se realiza una revisión de los trabajos de investigación realizados en diversas áreas sobre el modelado del estátor de los motores ultrasónicos de onda viajera (TWUMs). Entre los problemas relevantes que se han estudiado podemos citar la vibración de placas anulares, las teorías de placas laminadas y el modelado de transductores piezoeléctricos. A raíz de este punto de vista integral se hace manifiesto que todavía quedan asuntos importantes que estudiar en el modelado de los TWUMs. En primer lugar, la influencia de las propiedades del material y las dimensiones del estátor en la eficiencia del motor, los coeficientes de acoplamiento electromecánico (EMCC) y la máxima energía entregada deberían ser estudiados más detenidamente. En segundo lugar, el modelado de la distribución del campo eléctrico en los TWUMs (incluyendo la ecuación de carga explícitamente) parece imprescindible para lograr una predicción mejor del desplazamiento y del campo eléctrico cerca de la resonancia, como se ha apuntado en referencias actuales [1]. Además, se discute las mejoras que incorporaría a los modelos existentes en la actualidad la inclusión de las teorías de placas laminadas (LPTs) con deformaciones de corte (o de orden superior), resueltas mediante métodos aproximados. Como complemento a los modelos analíticos, se realiza asimismo una revisión de las técnicas de elementos finitos (FEM) y diferencias finitas (FDM) empleadas en la simulación de la dinámica del estátor de los motores TWUM.

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Section: Strain Induced Methods and Modelling Of The Electric Potentialmentioning

confidence: 99%

Section: Vibration Of Heterogeneous Laminated Platesmentioning

confidence: 99%

Modelización del estator de un motor piezoeléctrico de onda viajera: una revision integrada y nueva perspectiva

Rodríguez¹,

Ceres²,

Calderón³

et al. 2004

Bol. Soc. Esp. Ceram. Vidr.

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“…Initial research on fully coupled models of piezoelectric structures was done in mid-1990s by Anderson and Hagood [8] and by Mitchell and Reddy [9] who formulated the hybrid plate theory. More advanced approaches were presented in papers published in the next decade.…”

Section: Introductionmentioning

confidence: 99%

A coupled-field model of a rotating composite beam with an integrated nonlinear piezoelectric active element

Latalski

2017

Nonlinear Dyn

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The dynamics of a system consisting of a rotating rigid hub and a thin-walled composite beam with embedded active element is presented. The beam comprises of a generally orthotropic host made of an arbitrary laminate and an additional layer of a transversely isotropic piezoceramic material. The higherorder constitutive relations for piezoelectric are used to properly model its electromechanical structural behaviour when operated in near resonance conditions or subjected to strong electric fields. In the mathematical formulation of the problem, the full two-way coupling piezoelectric effect is considered by adopting the assumption of a spanwise electric field variation. To enhance the generality of the formulation, the model considers also the hub mass moment of inertia and a non-constant rotating speed case. A general nonlinear system of mutually coupled partial differential equations is derived using the Hamilton principle, and the Galerkin method is applied to reduce these governing equations to the ordinary differential ones. A specific case of CAS lamination scheme that exhibits flapwise bending and twist mode elastic coupling is discussed in detail. Numerical results for system free vibrations are obtained to investigate the natural modeThe work is financially supported by Grant DEC-2012/07/B/ST8/03931 from the Polish National Science Centre.J. Latalski (B) Department of Applied Mechanics, Lublin University of Technology, ul. Nadbystrzycka 36, shapes and electrical field spatial distribution depending on the system rotation speed and laminae fibre orientation angle. Next, a forced vibration case is studied by applying to the hub a periodic driving torque with zero mean value. Nonlinear frequency response curves for the combined beam-hub system together with time series plots are prepared for different driving torque scenarios.

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“…Jonnalagadda et al [7] developed a theory for piezothermoelastic laminates based on the first-order shear deformation theory and neglected the direct piezo electric effect. Mitchell and Reddy's [8] coupled higher-order theory is based on an equivalent single-layer theory for the mechanical displacements and layerwise discretization of the electric potential. Vidoli and Batra [9] have derived a refined plate theory capable of predicting the change in the thickness of a piezoelectric plate.…”

Section: Introductionmentioning

confidence: 99%

Analysis of piezoelectric bimorphs and plates with segmented actuators

Vel

Batra

2001

Thin-Walled Structures

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A refined hybrid plate theory for composite laminates with piezoelectric laminae

Cited by 337 publications

References 14 publications

Modelización del estator de un motor piezoeléctrico de onda viajera: una revision integrada y nueva perspectiva

Modelización del estator de un motor piezoeléctrico de onda viajera: una revision integrada y nueva perspectiva

A coupled-field model of a rotating composite beam with an integrated nonlinear piezoelectric active element

Analysis of piezoelectric bimorphs and plates with segmented actuators

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