Buckling and free vibration analysis of piezoelectric laminated composite plates using various plate deformation theories

Tanzadeh, Hojat; Amoushahi, Hossein

doi:10.1016/j.euromechsol.2018.11.013

Cited by 29 publications

(7 citation statements)

References 40 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Q ̂ 11 and Q ̂ 22 are the reduced elastic stiffness coefficients, e ̂ 31 and η 33 are the reduced piezoelectric and dielectric coefficients, respectively. The reduced piezoelectric and dielectric coefficients can be obtained from Tanzadeh and Amoushahi (2019). The displacement field of the beam is represented by first order shear deformation theory (FSDT).…”

Section: Mathematical Formulationmentioning

confidence: 99%

Spectral finite element method for wave propagation analysis in smart composite beams containing delamination

Nanda

2020

AEAT

View full text Add to dashboard Cite

Purpose The purpose of the study is to present a frequency domain spectral finite element model (SFEM) based on fast Fourier transform (FFT) for wave propagation analysis of smart laminated composite beams with embedded delamination. For generating and sensing high-frequency elastic waves in composite beams, piezoelectric materials such as lead zirconate titanate (PZT) are used because they can act as both actuators and sensors. The present model is used to investigate the effects of parametric variation of delamination configuration on the propagation of fundamental anti-symmetric wave mode in piezoelectric composite beams. Design/methodology/approach The spectral element is derived from the exact solution of the governing equation of motion in frequency domain, obtained through fast Fourier transformation of the time domain equation. The beam is divided into two sublaminates (delamination region) and two base laminates (integral regions). The delamination region is modeled by assuming constant and continuous cross-sectional rotation at the interfaces between the base laminate and sublaminates. The governing differential equation of motion for delaminated composite beam with piezoelectric lamina is obtained using Hamilton’s principle by introducing an electrical potential function. Findings A detailed study of the wave response at the sensor shows that the A0 mode can be used for delamination detection in a wide region and is more suitable for detecting small delamination. It is observed that the amplitude and time of arrival of the reflected A0 wave from a delamination are strongly dependent on the size, position of the delamination and the stacking sequence. The degraded material properties because of the loss of stiffness and density in damaged area differently alter the S0 and A0 wave response and the group speed. The present method provides a potential technique for researchers to accurately model delaminations in piezoelectric composite beam structures. The delamination position can be identified if the time of flight of a reflected wave from delamination and the wave propagation speed of A0 (or S0) mode is known. Originality/value Spectral finite element modeling of delaminated composite beams with piezoelectric layers has not been reported in the literature yet. The spectral element developed is validated by comparing the present results with those available in the literature. The spectral element developed is then used to investigate the wave propagation characteristics and interaction with delamination in the piezoelectric composite beam.

show abstract

Section: Mathematical Formulationmentioning

confidence: 99%

Spectral finite element method for wave propagation analysis in smart composite beams containing delamination

Nanda

2020

AEAT

View full text Add to dashboard Cite

show abstract

“…In addition, some analytical and semi-analytical methods are used for the dynamic analysis of piezoelectric laminated plates. Tanzadeh and Amoushahi [ 19 ] developed a finite strip method to analyze the free vibration of piezoelectric laminated plates based on Zigzag theory, refined plate and higher order shear deformation theory. Andakhshideh et al [ 20 ] studied the interlaminar stresses of laminated piezoelectric plates.…”

Section: Introductionmentioning

confidence: 99%

Active Vibration Control of Piezoelectric Sandwich Plates

et al. 2022

View full text Add to dashboard Cite

This paper deals with the active vibration control of piezoelectric sandwich plate. The structure consists of a substrate plate layer sandwiched between two layers of piezoelectric sensor and actuator. Based on laminate theory and constitutive equation of piezoelectric material, the vibration active control dynamic equation of the sandwich structure is established by using hypothetical mode method and Hamilton principle. The Rayleigh-Ritz method is used to solve it. The form of hypothetical solution is used for approximate solution, which is simple and accurate. The method of this paper is verified by several examples. The parametric studies of the sandwich plate structures are carried out. The results show that applying different boundary conditions and piezoelectric patch positions to the structures have a great influence on the natural frequency. When the driving voltage increases, the deflection of the plate structures increase approximately linearly. The active vibration control studies are investigated as well. The results show that within a certain range, the larger the value of the speed feedback coefficient, the better the active control effect. The positions of the piezoelectric patches affect the effectiveness and cost of active control. When the piezoelectric plate is located at the fixed end, the effect and cost of active control are better than that at the midpoint and free end of the plate.

show abstract

“…Ellali et al [7] found Navier's solution for the buckling response of the electro-magneto-elastic plates resting on an elastic foundation based on the third-order shear deformation theory (TSDT). On the order hand, according to the various plate theory, Tanzadeh et al [8] presented the buckling and vibration of the piezoelectric laminated composite plate based on the finite strip method. Based on the finite element method and Euler-Bernoulli beam theory, El Harti et al [9] used the analytical method to study the active vibration control of the FG beams with piezoelectric sensors and actuators.…”

Section: Introductionmentioning

confidence: 99%

A Two Variable Refined Plate Theory for Isogeometric Vibration Analysis of The Functionally Graded Piezoelectric Microplates with Porosities

Hung¹,

Phuc²

2022

J. ADV. ENG. COMPUT.

View full text Add to dashboard Cite

In this article, a free vibration analysis of the functionally graded porous piezoelectric (FGPP) microplates is firstly solved by using a combination of two variable refined plate theory (RPT), modified strain gradient theory (MSGT) and isogeometric analysis (IGA). The FGPP microplate is composed of piezoelectric material with pores, which are distributed across the plate thickness in uniform and non-uniform distributions. The modified strain gradient theory is used to capture the size effect on the natural frequency of the FGPP microplates. According to the variational principle of RPT with two variables, the governing equations are derived and solved by the IGA. The influence of the length scale parameters (LSPs), external electric voltage, power law index, length-to-thickness ratio, aspect ratio and boundary conditions (BCs) on the natural frequency of the FGPP microplates is studied. The numerical results show that a rise in the porosity coefficient makes a decrease in the microplate’s stiffness, while an increase in LSPs leads to a rise in the microplate’s stiffness.This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium provided the original work is properly cited.

show abstract

Buckling and free vibration analysis of piezoelectric laminated composite plates using various plate deformation theories

Cited by 29 publications

References 40 publications

Spectral finite element method for wave propagation analysis in smart composite beams containing delamination

Spectral finite element method for wave propagation analysis in smart composite beams containing delamination

Active Vibration Control of Piezoelectric Sandwich Plates

A Two Variable Refined Plate Theory for Isogeometric Vibration Analysis of The Functionally Graded Piezoelectric Microplates with Porosities

Contact Info

Product

Resources

About