Analysis of Laminated Composite Shell Structures with Piezoelectric Components

The investigation being reported is concerned with the development and applications of a layerwise hybrid strain based lower-order flat triangular laminated composite shell finite element with distributed piezoelectric components. This shell element has three nodes and is formed by stacking a lower-order flat triangular shell element with piezoelectric effects. In every node there are seven degrees of freedom (dof). These include three translational dof, three rotational dof, and one electric potential dof. The important drilling dof (ddof) is included in every node. The degenerated three dimensional solid assumption and the first order shear deformation theory (FSDT) were adopted. Thus, shear and membrane lockings are eliminated. This feature is superior to those elements applying the displacement formulation. Explicit expressions for the consistent element mass and stiffness matrices as well as loading vectors were obtained by using the symbolic algebraic package, MAPLE V so that it reduces considerably the computational time as opposed to those employing numerical matrix inversion and numerical integration for the derivation of element matrices. Computed results for static and free vibration analysis of a bimorph beam with sensors and actuators, and a semi-circular cylindrical laminated composite ring with piezoelectric components are included to demonstrate the efficiency and accuracy of the present shell finite element.

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