An incremental algorithm for static shape control of smart structures with nonlinear piezoelectric actuators

Sun, Dihua; Tong, Liyong; Wang, Dajun

doi:10.1016/j.ijsolstr.2003.12.002

Cited by 25 publications

(17 citation statements)

References 24 publications

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“…The problems associated with piezoactuators showing the jump phenomena can be excessive heat generation, mechanical break down and instability when operating in the resonant mode etc. The different nonlinear behaviours of piezoactuators can also affect other applications such as the active shape and vibration control of structures (Sun et al, 2004;Zhou and Tzou, 2000).…”

Section: Introductionmentioning

confidence: 99%

Nonlinear behaviour of piezoceramics under weak electric fields

Samal

Seshu

Parashar

et al. 2006

International Journal of Solids and Structures

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Piezoceramic materials exhibit different types of nonlinearities under different combinations of electric and mechanical fields. When excited near resonance in the presence of weak electric fields, they exhibit typical nonlinearities similar to a Duffing oscillator such as jump phenomena and presence of superharmonics in the response spectra. In order to model such nonlinearities, a nonlinear electric enthalpy density function (using quadratic and cubic terms) valid for a general 3-D piezoelectric continuum has been proposed in this work. Linear (i.e. proportional) and nonlinear damping models have also been proposed. The coupled nonlinear finite element equations have been derived using variational formulation. The classical linearization technique has been used to derive the linearized stiffness and damping matrices which helps in assembling the nonlinear matrices and solution of resulting nonlinear equation. The general 3-D finite element formulation is discussed in this paper. In a companion paper by Samal et al., numerical results on various typical examples are shown to match very well with the experimental observations.

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Section: Introductionmentioning

confidence: 99%

Nonlinear behaviour of piezoceramics under weak electric fields

Samal

Seshu

Parashar

et al. 2006

International Journal of Solids and Structures

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“…Nakasone and Silva 14 worked on topology optimization for dynamic design of laminated piezoelectric patches. Sun et al [15][16][17] presented some methods to achieve piezoelectric actuators pattern for shape control of smart structures.…”

Section: Introductionmentioning

confidence: 99%

Optimum pattern of piezoelectric actuator placement for stress concentration reduction in a plate with a hole using particle swarm optimization algorithm

Fesharaki

Golabi

2014

Proceedings of the Institution of Mechanical Engineers, Part C:

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This paper focuses on pattern recognition of the best position of piezoelectric patches around the hole in a plate under tension to attain the maximum reduction in stress concentration factor. For this purpose, using particle swarm optimization algorithm, the area and the best location of piezoelectric patches are investigated and the optimum pattern recognition around the hole is presented. Then, the effect of increasing the area of piezoelectric patches and voltage on stress concentration reduction are investigated for all percentage area of piezoelectric patches. To confirm the results, by considering two experimental tests, the results are compared with those reported in presented paper.

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“…Since these structures are flexible and display nonlinear deformations under external static and dynamic excitations, several authors have studied analytically, as well as experimentally, different nonlinear behavior of piezoelectric actuators [5][6][7][8] such as the implementation of nonlinearity under high and low electric fields and strains, and the frequency response and the dynamics of the vibration when operating in the resonant mode. Other authors have used finite element method (FEM) to model various piezoelectric material systems [8][9][10][11][12], developing the finite element model for static and dynamic analysis of piezoelectric composite plates, piezoelectric bimorphs as well as for stability.…”

Section: Introductionmentioning

confidence: 99%

The complete synchronization condition in a network of piezoelectric micro-beams

Yolong

Woafo

2008

Nonlinear Dyn

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This work deals with the dynamics of a network of piezoelectric micro-beams (a stack of disks). The complete synchronization condition for this class of chaotic nonlinear electromechanical system with nearest-neighbor diffusive coupling is studied. The nonlinearities within the devices studied here are in both the electrical and mechanical components. The investigation is made for the case of a large number of coupled discrete piezoelectric disks. The problem of chaos synchronization is described and converted into the analysis of the stability of the system via its differential equations. We show that the complete synchronization of N identical coupled nonlinear chaotic systems having shift invariant coupling schemes can be calculated from the synchronization of two of them. According to analytical, semi-analytical predictions and numerical calculations, the transition boundaries for chaos synchronization state in the coupled system are determined as a function of the increasing number of oscillators.

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An incremental algorithm for static shape control of smart structures with nonlinear piezoelectric actuators

Cited by 25 publications

References 24 publications

Nonlinear behaviour of piezoceramics under weak electric fields

Nonlinear behaviour of piezoceramics under weak electric fields

Optimum pattern of piezoelectric actuator placement for stress concentration reduction in a plate with a hole using particle swarm optimization algorithm

The complete synchronization condition in a network of piezoelectric micro-beams

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