Natural Frequencies of Multi-Layer Composite Plate with Embedded Shape Memory Alloy Wires

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Abstract
This paper illustrates stress-strain relationships for a single composite lamina with SMA wires and shows their influence upon changes in natural frequencies of a composite multilayered plate. Governing equations based on the finite element method are presented. The plate is modeled by plate finite elements with eight nodes and five degrees of freedom at each node (i.e., three axial displacements and two rotations). For both axial displacements and rotations biquadratic shape functions are used. Results of numerical calculations for different initial strains of SMA wires and their influence on natural frequencies of a composite laminated plate are presented.