A shape control model for piezo-elastic structures based on divergence free electric displacement

Kekana, M. C.; Tabakov, Pavel Y.; Walker, Mark

doi:10.1016/s0020-7683(02)00611-x

Cited by 11 publications

(11 citation statements)

References 8 publications

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“…Irschik Hans (2002) carried out review on static and dynamic shape control of structures by piezoelectric actuation. Kekana et al (2003) considered shape control model for piezo-elastic structures based on divergence-free electric displacement International. Haupt et al (2004) investigated practical genetic algorithms.…”

Section: Introductionmentioning

confidence: 99%

Optimal shape control of piezolaminated beams with different boundary condition and loading using genetic algorithm

Bendine

Wankhade

2017

Int J Adv Struct Eng

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Piezoelectric actuators are effectively used to control the response of light weight structures in shape, vibration and buckling. Optimization for the shape control of piezoelectric beam is the recent challenge which requires proper numerical technique to perform. The shape control of a composite beam using surface-bounded piezoelectric actuators has been investigated in the present work. The mathematical model is developed using twonode Timoshenko beam element coupling with the theory of linear piezoelectricity. First-order shear deformation theory is employed in the formulation to consider the effect of shear. In the analysis, the effect of the actuators position for different set of boundary conditions is investigated. For different boundary conditions which include clampedfree-, clamped-clamped-and simply supported beam, optimisation of piezoelectric patch location is investigated. Moreover, a genetic algorithm is adopted and implemented to optimize the required voltage to maintain the desired shape of the beam. This optimization technique is applied to different cases of composite beams with varying the boundary condition.

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Section: Introductionmentioning

confidence: 99%

Optimal shape control of piezolaminated beams with different boundary condition and loading using genetic algorithm

Bendine

Wankhade

2017

Int J Adv Struct Eng

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“…Furthermore, a minute increment from zero gain, G → 0 + , results in an abrupt change of the configuration of the structure. To remedy this anomaly, Kekana et al [3] proposed an electroelastic equation depicting a piezoelectric actuator with a divergence free electric displacement. The two models were compared at a state of zero feedback gainas it is expected that they should resemble a structure free from piezoelectric control effects.…”

Section: Introductionmentioning

confidence: 99%

“…Analytical and approximate methods have been implemented with great success in solving the differential equations governing the behaviour of piezoelastic structures. These include the classical analytical method [3][4][5], the Fourier analysis approach [6,7], the finite element method [1,[8][9][10][11][12][13][14][15] and the Green's function approach [16][17][18]. However, the literature reviewed in the field of piezoelastic structures is devoid of studies using the pseudospectral method to solve the piezoelastic differential equations.…”

Section: Introductionmentioning

confidence: 99%

Calculation of eigenvalues of a piezoelastic beam using the pseudospectral method

Kekana¹

2006

Smart Mater. Struct.

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Problem. The study investigates the free vibration of a composite beam controlled by piezo patch sensors and actuators. The model simulating feedback control of a piezoelastic beam incorporates the electrostatic equation which is centred on the divergence free electric displacement. The basic formulation is given in terms of a differential equation which facilitates the computation of the eigenfrequencies and eigenfunctions of the beam.Method. The pseudospectral method is used to transform the differential eigenvalue problem to an approximate algebraic system of equations using a truncated series of basis functions and the Chebyshev collocation points.Results. The results show that the error is the smallest for the smallest eigenvalue and then increases rapidly until the matrix eigenvalues become useless as approximations to those of the differential equation. N/2 eigenvalues were obtained as a good approximation of the differential equation.

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“…P IEZOELECTRIC materials have attracted wide attention in recent years for they can act as both actuator and sensor/transducer in smart structures (Gong and Suo, 1996;Granger et al, 2000;Pal et al, 2000;Wang and Chen, 2000). One interesting aspect is the interaction behaviors of the structures comprising piezoelectric and elastic materials (Yu, 1999;Wang and Noda, 2001;Wang and Mai, 2002;Kekana et al, 2003). Most of the literatures, to our best knowledge, discuss the cases where the piezoelectric layers have an infinite configuration (Kwon and Lee, 2000;Tian and Chen, 2000;Liu and Hsia, 2003).…”

Section: Introductionmentioning

confidence: 99%

Electromechanical Interaction Behaviors of Piezoelectric Sensor and Actuator on Elastic Substrate

Zhang

Jun-qian

2005

Journal of Intelligent Material Systems and Structures

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In this article, the model and the algorithm developed in our previous work are used to investigate the thickness effect and the length effect of the piezoelectric patch and the influence of the substrate material properties on the responses of the piezoelectric-elastic structure. For an actuator-substrate structure, a thicker piezoelectric patch may be preferable in decreasing the stress concentration. Longer the piezoelectric patch, lower the interfacial normal stress. The interfacial stresses will go up with the increase of the stiffness of the host materials. For a sensor system, the strain transfer from substrate to sensor will decrease with the increase of the thickness of the piezoelectric sensor patch. The output voltage of the piezoelectric sensor rises with the increase of both the thickness and the length. A harder host material can make higher output voltage under the same strain.

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A shape control model for piezo-elastic structures based on divergence free electric displacement

Cited by 11 publications

References 8 publications

Optimal shape control of piezolaminated beams with different boundary condition and loading using genetic algorithm

Optimal shape control of piezolaminated beams with different boundary condition and loading using genetic algorithm

Calculation of eigenvalues of a piezoelastic beam using the pseudospectral method

Electromechanical Interaction Behaviors of Piezoelectric Sensor and Actuator on Elastic Substrate

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