Free Vibration of Laminated Circular Piezoelectric Plates and Discs

Heyliger, Paul R.; Ramírez, Guillermo

doi:10.1006/jsvi.1999.2520

Cited by 53 publications

(23 citation statements)

References 20 publications

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“…Scientists have discovered that, with the combination of two or more distinct constituents, piezoelectric composites can take the advantages of each constituent and have superior electromechanical coupling characteristics compared to homogeneous piezoelectric materials. Many achievements have been obtained for multilayered plates and cylinders [10][11][12][13][14][15][16]. Also, in modern intelligent engineering, a number of new geometric configurations of piezoelectric sensors and actuators are being introduced, and significant effort has been devoted to multilayered piezoelectric hollow spheres.…”

Section: Introductionmentioning

confidence: 99%

Transient responses of a multilayered spherically isotropic piezoelectric hollow sphere

2005

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The dynamic solution of a multilayered spherically isotropic piezoelectric hollow sphere subjected to radial dynamic loads is obtained. By the method of superposition, the solution is divided into two parts: one is quasi-static and the other is dynamic. The quasi-static part is derived by the state-space method, and the dynamic part is obtained by the method of separation of variables coupled with the initial parameter method as well as the orthogonal expansion technique. By using the quasi-static and dynamic parts, the electric boundary conditions as well as the electric continuity conditions, a Volterra integral equation of the second kind with respect to a function of time is derived, which can be solved successfully by means of the interpolation method. The displacements, stresses and electric potentials are finally obtained. The present method is suitable for a multilayered spherically isotropic piezoelectric hollow sphere consisting of arbitrary layers and subjected to arbitrary spherically symmetric dynamic loads. Finally, numerical results are presented and discussed.

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Section: Introductionmentioning

confidence: 99%

Transient responses of a multilayered spherically isotropic piezoelectric hollow sphere

2005

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“…Recently, fully electromechanically coupled piezoelectric elements became available. Among plates of various shapes, circular plates have a particular importance, due to their axial symmetry [4,[13][14][15][16][17]. The knowledge of natural frequencies of such components is of great interest in the study of responses of structures to various excitations, and so this study is fundamental for high-risk plants.…”

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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“…There are also a number of investigations on multilayered piezoelectric media. Kharouf and Heyliger (1994) and Heyliger and Ramirez (2000) dealt with the free vibration problems of laminated piezoelectric cylinders and discs, respectively. Chen (2000) considered the free vibration of (multilayered) non-homogeneous piezoceramic hollow spheres by employing a separation formulation for displacements.…”

Section: Introductionmentioning

confidence: 99%

Dynamic solution of a multilayered orthotropic piezoelectric hollow cylinder for axisymmetric plane strain problems

Wang

Ding

Chen

2005

International Journal of Solids and Structures

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Free Vibration of Laminated Circular Piezoelectric Plates and Discs

Cited by 53 publications

References 20 publications

Transient responses of a multilayered spherically isotropic piezoelectric hollow sphere

Transient responses of a multilayered spherically isotropic piezoelectric hollow sphere

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

Dynamic solution of a multilayered orthotropic piezoelectric hollow cylinder for axisymmetric plane strain problems

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