Natural frequencies of multi-layer composite plate with embedded shape memory alloy wires

This paper illustrates stress-strain relationships for a single composite l amina with SMA wires and shows their influence upon changes in natural freq uencies 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., th ree axial displacements and two rotations). For both axial displacements an d rotations biquadratic shape functions are used. Results of numerical calc ulations for different initial strains of SMA wires and their influence on natural frequencies of a composite laminated plate are presented.