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Abstract

A finite element formulation for a bending plate element with piezoelectric sensors and actuators (S/As) is presented by using Hamilton's principle. This element not only saves much memory and calculation time but also increases the accuracy of solutions. Using this method, the natural frequencies of the open-loop systems are studied and the influence of variations in structural parameters on eigenvalues and eigenvectors of structures is analysed in detail. Finally, two numerical examples are presented. The first is to illustrate the validation of the present method. The second is to study the problem of natural frequencies of the structures with S/As. The influence of the number and location of S/As is analysed and the mode shapes and associated voltage distributions are obtained.

Keywords

piezoelectric sensors and actuators vibration behaviour intelligent structures.

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Dynamic behaviour of open-loop systems of intelligent structures

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