A finite element model for the static and dynamic analysis of a piezoelectric bimorph

Wang, S.Y.

doi:10.1016/j.ijsolstr.2004.02.058

Cited by 148 publications

(103 citation statements)

References 37 publications

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“…These theories yield excellent accuracy, but the computational effort increases in proportion to the number of layers, which restricts their application for practical dynamics and control problems. Mixed coupled equivalent single layer (ESL) theories such as the first-order shear deformation theory (FSDT) [Saravanos 1999;Wang 2004] and refined third-order theory (TOT) [Correia et al 2000], considering a global variation for the displacements across the entire thickness and a layerwise distribution for the electric potential, have been employed for the dynamic analysis of hybrid plates. It is now well known that since these theories do not account for the layerwise (zigzag) nature of distributions of the inplane displacements, they yield inaccurate results for moderately thick laminates and even thin laminates with strong inhomogeneity across the thickness.…”

Section: Introductionmentioning

confidence: 99%

Unified efficient layerwise theory for smart beams with segmented extension/shear mode, piezoelectric actuators and sensors

Kapuria

Hagedorn

2007

JOMMS

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A unified coupled efficient layerwise theory is presented for the dynamics of smart laminated beams with surface-mounted and embedded piezoelectric actuators and sensors with arbitrary poling directions, acting in extension or shear mode. The theory considers a global third-order variation across the thickness combined with a layerwise linear variation for the axial displacement, expressed in terms of only three primary variables, and accounts for the transverse normal strain due to the electric field in the approximation for the transverse displacement. The electric potential is approximated as piecewise quadratic across sublayers. A finite element is developed which has two physical nodes with mechanical and some electric potential degrees of freedom (DOF), and an electric node for the electric potentials of the electroded surfaces of the piezoelectric patches. The electric nodes eliminate the need for imposition of equality constraints of the electric DOF on the equipotential electroded surfaces of the segmented piezoelectric elements and result in significant reduction in the number of electric DOF. The electric DOF associated with the physical nodes allow for the inplane electric field that is induced via a direct piezoelectric effect. The accuracy of the formulation is established by comparing the results with those available in literature and the 2D piezoelasticity solutions for extension and shear mode actuators, sensors and adaptive beams. The effect of segmentation of the electroded surface on the deflection, sensory potential and natural frequencies is illustrated for both extension and shear mode cases. The influence of the location of extension and shear mode actuators and sensors on the response is investigated for a hybrid mode composite beam. The effect of actuator thickness on the actuation authority is studied.

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Section: Introductionmentioning

confidence: 99%

Unified efficient layerwise theory for smart beams with segmented extension/shear mode, piezoelectric actuators and sensors

Kapuria

Hagedorn

2007

JOMMS

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“…Boundaries are considered to be simply supported. Also, its material constants are [24]: c = In Figure 2, the through-the-thickness variation of de ection, W , at the plate center is shown and the results are compared with those of Wang [24]. From this gure, it is clear that in the present analysis, modeling of the piezoelectric material is done properly.…”

Section: Piezoelectric Bimorph Actuator Platementioning

confidence: 87%

Fluid–structure interaction analysis of a piezoelectric flexible plate in a cavity filled with a fluid

2016

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Abstract. This study presents a numerical analysis of uid-structure interaction, the structure of which is a exible piezoelectric material. Piezoelectric materials are widely used in aero-elasticity and turbomachinery elds for vibration, utter, and noise control. In this work, a FSI benchmark is revised to contain the piezoelectric materials. The in uence of piezoelectricity on the oscillation of the structure and uid ow is considered. For validation, two benchmark problems are solved and the results of the present code are compared with those of previous work. Current results show that the piezoelectric behavior of a plate signi cantly in uences the oscillation of the plate and the uid ow properties.

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“…, where indices α denotes multiplication without summation (vectorisation) 3 Solution at the time t + ∆t using vectorisation u α t+∆t =M αRα 3 u t−∆t = u t , u t = u t+∆t , t = t + ∆t approaches given in [11]. The error was less than 2% for maximum deflection (L/h = 10) and 0% for electric potential in comparison to full 3D finite element modell (ANSYS SOLID5 9600 elements).…”

Section: Solving Equation Of Motionmentioning

confidence: 99%

“…The second problem is actuation and reception of elastic waves in aluminium plate of dimensions 315x315x1 mm 3 by circular and rectangular PZT-4 piezoelectric ceramics perfectly bonded to the surface of the plate. Piezoelectric material constants can be found in [11], whereas for aluminium it has been assumed: Young modulus E = 71GP a, Poisson ratio 0.33, mass density ρ = 2700 kg/m 3 . It has been assumed that excitation signal is five tone burst sine modulated by Hanning window with the carrier frequency of 100 kHz.…”

Section: Solving Equation Of Motionmentioning

confidence: 99%

“…For this reason many 2D models with different assumptions made on the through-the-thickness mechanical displacement field displacement have been proposed including layerwise approximation [7][8][9] or multi-layer modelling [10]. More recently method of sublayers has been proposed [11] which combines a 2D single-layer representation model for the mechanical displacement field with a 3D layerwise-like approximation for the electric potential field. However, these models are rarely used in stress waves problems.…”

Section: Introductionmentioning

confidence: 99%

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3D time-domain spectral elements for stress waves modelling

Kudela

Ostachowicz

2009

J. Phys.: Conf. Ser.

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A finite element model for the static and dynamic analysis of a piezoelectric bimorph

Cited by 148 publications

References 37 publications

Unified efficient layerwise theory for smart beams with segmented extension/shear mode, piezoelectric actuators and sensors

Unified efficient layerwise theory for smart beams with segmented extension/shear mode, piezoelectric actuators and sensors

Fluid–structure interaction analysis of a piezoelectric flexible plate in a cavity filled with a fluid

3D time-domain spectral elements for stress waves modelling

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