Electric Potential Approximations for an Eight Node Plate Finite Element

Polit, O.; Bruant, I.

doi:10.4203/ccp.79.15

Cited by 9 publications

(21 citation statements)

References 11 publications

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“…As the FGPM is polarized in the z direction, the structure is discretized in n l numerical layers in the thickness direction and a layerwise approximation is used (Polit and Bruant, 2006).…”

Section: Electric Potentialmentioning

confidence: 99%

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Active vibration control of a smart functionally graded piezoelectric material plate using an adaptive fuzzy controller strategy

Maruani

Bruant

Pablo

et al. 2019

Journal of Intelligent Material Systems and Structures

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In this article, the active vibration control of a smart structure made out of a single functionally graded piezoelectric material layer, equipped with a network of discrete electrodes, is studied. The material properties vary continuously across the direction of thickness, so that top and bottom surfaces consist of pure PZT4 and the mid surface is composed of pure aluminium. The percolation phenomenon is taken into account. A functionally graded piezoelectric material plate finite element based on the first-order shear deformation theory hypothesis and layer-wise approximation for electric potential is implemented. An optimization procedure is considered to define the relevant electrodes for actuators and sensors, based on controllable and observable criteria. An adaptative fuzzy controller system is used, activating with relevance the actuators according to the most excited eigenmodes. Simulations show the effectiveness of this kind of concept.

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Section: Electric Potentialmentioning

confidence: 99%

“…The electro-mechanical system. Variational principles give the following discretized equations (Polit and Bruant, 2006)…”

Section: Electric Potentialmentioning

confidence: 99%

Active vibration control of a smart functionally graded piezoelectric material plate using an adaptive fuzzy controller strategy

Maruani

Bruant

Pablo

et al. 2019

Journal of Intelligent Material Systems and Structures

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“…Results in the case of L ( 1 , 2 , 1 ) × L 4 and L ( 2 , 2 , 2 ) × L 6 theories are accurate but for the frequency of the bending mode on plane xz that differs by about 2 % and 1 % for the simply supported and the cantilever beams, respectively. It should be noted that even with a layer-wise linear through-the-thickness approximation of the electric potential, the induced electric field (which should be at least quadratically approximated) may be represented through introduction of several mathematical layers within each piezo-electric layer, see Polit and Bruant (2006). These models are addressed by ‘ L ( n pz ,… , n pz ) ×… ’ with n pz > 1 .…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

A free vibration analysis of piezo-electric beams via hierarchical one-dimensional finite elements

Koutsawa

Giunta

Belouettar

2013

Journal of Intelligent Material Systems and Structures

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In this article, several one-dimensional finite elements for the free vibration analysis of composite beams with piezo-electric layers or patches are presented. The displacement components and the electric potential are approximated above the cross section through Lagrange’s polynomials in a layer-wise sense. Thanks to a Unified Formulation, elements’ stiffness and mass matrices are derived in a general, nuclear form that does not depend upon the approximation order of the displacements and the electric potential over the cross section as well as the number of element nodes along the axial direction. Higher-order, layer-wise theories accounting for non-classical effects can be, therefore, straightforwardly formulated. Beam with full piezo-electric layers or piezo-patches are investigated. Results are given in terms of natural frequencies and electro-mechanical coupling coefficients of the bending and torsional modes. Several mechanical and electrical boundary conditions as well as stacking sequences are investigated. Comparison with three-dimensional finite element models is provided showing that the proposed class of finite elements is able to yield accurate results.

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“…They are assumed to be perfectly bonded to the surface of the plate. The geometrical and mechanical properties of the system are detailed in Tables 1-3. The plate is modeled using a new piezoelectric FE (Finite Element), which has been developed and validated in Polit and Bruant [17] and used for active vibration control in Bruant et al [18]. The plate is discretized in 15 × 15 elements.…”

Section: Applicationmentioning

confidence: 99%

Optimization of Piezoelectric Sensors Location and Number Using a Genetic Algorithm

Bruant¹,

Gallimard²,

Nikoukar³

2011

Mechanics of Advanced Materials and Structures

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Electric Potential Approximations for an Eight Node Plate Finite Element

Cited by 9 publications

References 11 publications

Active vibration control of a smart functionally graded piezoelectric material plate using an adaptive fuzzy controller strategy

Active vibration control of a smart functionally graded piezoelectric material plate using an adaptive fuzzy controller strategy

A free vibration analysis of piezo-electric beams via hierarchical one-dimensional finite elements

Optimization of Piezoelectric Sensors Location and Number Using a Genetic Algorithm

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