Vibration analysis of a piezoelectric composite plate with cracks

Qu, Ge; Li, Y. Y.; Li, Cheng; Wang, Biao

doi:10.1016/j.compstruct.2004.11.001

Cited by 18 publications

(9 citation statements)

References 13 publications

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“…Dimitriadis et al [13] used two dimensional patches of piezoelectric material bonded to the surface of a simply supported plate as vibration actuators to excite the selected modes. Qu et al [14] proposed a dynamical model using the principle of minimum energy to study the vibration behavior of a piezoelectric composite plate with cracks, the effects of cracks and piezoelectric materials on mode shapes was presented. Della and Shu [15] presented a mathematical model basing on the Euler-Bernoulli beam theory and Rayleigh-Ritz approximation technique for the vibration of beams with embedded arrays of piezoelectric sensors and actuators.…”

Section: Introductionmentioning

confidence: 99%

Vibration Analysis of Composite Laminate Plate Excited by Piezoelectric Actuators

Her

Lin

2013

Sensors

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Piezoelectric materials can be used as actuators for the active vibration control of smart structural systems. In this work, piezoelectric patches are surface bonded to a composite laminate plate and used as vibration actuators. A static analysis based on the piezoelectricity and elasticity is conducted to evaluate the loads induced by the piezoelectric actuators to the host structure. The loads are then employed to develop the vibration response of a simply supported laminate rectangular plate excited by piezoelectric patches subjected to time harmonic voltages. An analytical solution of the vibration response of a simply supported laminate rectangular plate under time harmonic electrical loading is obtained and compared with finite element results to validate the present approach. The effects of location and exciting frequency of piezoelectric actuators on the vibration response of the laminate plate are investigated through a parametric study. Numerical results show that modes can be selectively excited, leading to structural vibration control.

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Section: Introductionmentioning

confidence: 99%

Vibration Analysis of Composite Laminate Plate Excited by Piezoelectric Actuators

Her

Lin

2013

Sensors

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“…A very similar approach for the modelling of damaged thin composite plates is presented by Li et al [15] and Qu et al [16]. The application of the Ritz method yields the eigenvalue problem…”

Section: Undamaged and Damaged Beam Modelsmentioning

confidence: 99%

A damage localisation method based on higher order spatial derivatives of displacement and rotation fields

Santos

Lopes

Maia

2011

J. Phys.: Conf. Ser.

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A damage localisation method based on higher order spatial derivatives of displacement and rotation fields Abstract. This paper presents the development of a damage localisation method based on low and higher order spatial derivatives of displacement and rotation fields. The method relies on the Timoshenko beam theory, the Hamilton's principle and the Ritz method, allowing the computation of an approximate analytical solution of natural frequencies, displacement and rotation fields. Since these fields are expressed analytically, through a series expansion, the spatial derivatives are also obtained analytically. Besides the usual curvature difference and damage index, which are based on comparisons of second order spatial derivative of the displacement field of a beam in the undamaged and damaged states, other damage indicators are proposed. These new indicators rely on spatial derivatives of rotation fields. The indicators are applied to the localisation of various cases of damages in beams and a comparison among them is carried out. It is found that, for relatively thick beams, the values of the indicators based on rotation fields spatial derivatives are, in general, lower than those based on displacement fields. It is also observed that these differences are negligible for beams with high length to thickness ratio. IntroductionSeveral methods for structural damage identification, based on vibration characteristics, have been proposed over the past decades [1,2]. The main idea behind them is that whenever there is damage in a structure, its stiffness, mass and damping properties change, therefore changing its dynamic behaviour.The mode shape curvature method, firstly developed by Pandey et al.[3], allows, under certain conditions, the localisation of damage. In this work the curvatures of beams are computed using a second order central finite difference. However, if sparse and noisy displacement fields are used, this differentiation scheme can lead to false localisations of damage. This problem is mainly due to the intrinsic error of the finite difference numerical technique using sparse data and the amplification of noise present in the measurements. A method also based on mode shapes curvatures is the damage index method proposed by Stubbs et al. [4], which relates the second spatial derivative of the undamaged and damaged displacement fields in each segment or element of the structure.These two damage identification methods and similar ones, such as the frequency response functions (FRF) curvatures method [5], have been applied and improved over the years (e.g. [6]-[12]). However, the curvatures are usually computed based on a differentiation of a relatively

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“…However, it is still a challenge to prepare PZT thick films (>1 m) without cracks and pores generated by the organic volatilization and film shrinkage during the annealing. When the films are subjected to mechanical and electrical loads, the cracks and pores would expand and consequently cause the films premature failure [16][17][18]. In the past few years, some organic polymer solvents and non-piezoelectric/piezoelectric powder, such as PVP [7,19], PEG [20], ethylene glycol [21], glass frit [22], polyvinylidene fluoride (PVDF) [23], PZT powder [10,24], have been used to pre- * Corresponding author.…”

Section: Introductionmentioning

confidence: 99%

Preparation and electrical properties of Pb(Zr0.52Ti0.48)O3 thick films embedded with ZnO nanowhiskers by a hybrid sol–gel route

Zhao

Cao

Yuan

et al. 2010

Journal of Alloys and Compounds

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Vibration analysis of a piezoelectric composite plate with cracks

Cited by 18 publications

References 13 publications

Vibration Analysis of Composite Laminate Plate Excited by Piezoelectric Actuators

Vibration Analysis of Composite Laminate Plate Excited by Piezoelectric Actuators

A damage localisation method based on higher order spatial derivatives of displacement and rotation fields

Preparation and electrical properties of Pb(Zr0.52Ti0.48)O3 thick films embedded with ZnO nanowhiskers by a hybrid sol–gel route

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