Layerwise mechanics and finite element for the dynamic analysis of piezoelectric composite plates

Saravanos, Dimitris A.; Heyliger, Paul R.; Hopkins, Dale A.

doi:10.1016/s0020-7683(96)00012-1

Cited by 296 publications

(208 citation statements)

References 17 publications

Supporting

Mentioning

195

Contrasting

Unclassified

Order By: Relevance

“…with layerwise linear description of inplane displacements and electric potential have been presented for hybrid beams [Lee and Saravanos 1996] and plates [Saravanos et al 1997;Lage et al 2004]. Plagianakos and Saravanos [2005] presented a higher-order DLT for hybrid beams using layerwise quadratic and cubic variations for the inplane displacements and electric potential, respectively.…”

Section: Introductionmentioning

confidence: 99%

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

Kapuria

Hagedorn

2007

JOMMS

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 99%

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

Kapuria

Hagedorn

2007

JOMMS

View full text Add to dashboard Cite

show abstract

“…Techniques have been developed to represent the dynamic behavior of smart composite structures, as the so-called Mixed Theory, that uses a single equivalent layer for the discretization of the mechanical displacement and a layerwise concept for the electrical field (Saravanos et al, 1997). Both mechanical and electrical fields are incorporated to the finite element formulation through the Hamilton's variational principle, leading to sets of equations that are solved by using appropriated boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Robust Optimal Control Applied to a Composite Laminated Beam

Koroishi

Fabián

Lara-Molina

et al. 2015

J.Aerosp. Technol. Manag.

View full text Add to dashboard Cite

This paper proposes an active vibration control technique, which is based on linear matrix inequalities, that is applied to a piezoelectric actuator bonded to a composite structure, forming a so-called smart composite structure. Serendipity-type finite element, based on first-order shear deformation theory with rectangular shape, eight nodes, five mechanical degrees of freedom (DOF) per node and eight electrical DOF per piezoelectric layer, is established for the composite structural model. Additionally, a mixed theory that uses a single equivalent layer for the discretization of the mechanical displacement field and a layerwise representation of the electrical field is adopted. Temperature effects are neglected. Simulation results illustrate the effectiveness of the proposed vibration control methodology for composite structures.

show abstract

“…Detailed reviews of the finite element (FE) modelling for adaptive structural elements consisting of piezoelectric hybrid plates have been reported by Benjeddou [9] and Mackerle [10]. Based on the layerwise theory, Saravanos et al [11] applied a numerical investigation for the dynamic behavior of piezoelectric laminates. Kapuria and Alam [12] used a finite element model for dynamic analysis of hybrid piezoelectric beams based on the zigzag theory.…”

Section: Introductionmentioning

confidence: 99%

Static Analysis of Functionally Graded Piezoelectric Beams under Thermo-Electro-Mechanical Loads

Komeili

Akbarzadeh

Doroushi

et al. 2011

Advances in Mechanical Engineering

View full text Add to dashboard Cite

This paper presents the analysis of static bending of beams made of functionally graded piezoelectric materials (FGPMs) under a combined thermo-electro-mechanical load. The Euler Bernoulli theory (EBT), first-order shear deformation theory (FSDT) and third-order shear deformation theory (TSDT) were employed to compare the accuracy and the reliability of each theory in applications. The material properties vary continuously through the thickness direction. The material compositions were selected from the PZT family. The governing equations were derived from Hamilton's principle and solved using the finite element method and Fourier series method. Cubic Hermit interpolation shape function was used for estimating the transverse deflection, and the linear interpolation function was used for the axial displacement and the shear rotation as well. Fourier series expansion, based on the boundary conditions, were employed to solve the governing equations analytically. The accuracy of the method was validated by comparing the results with the previous studies. Finite element results were compared with the analytical results presented in this paper. A comprehensive parametric study is conducted to show the influence of the voltage, shear deformation, material composition, end supports, and the slenderness ratio on the thermo-electro-mechanical characteristic.

show abstract

Layerwise mechanics and finite element for the dynamic analysis of piezoelectric composite plates

Cited by 296 publications

References 17 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

Robust Optimal Control Applied to a Composite Laminated Beam

Static Analysis of Functionally Graded Piezoelectric Beams under Thermo-Electro-Mechanical Loads

Contact Info

Product

Resources

About