Nonlinear transient response of a thick composite beam with shape memory alloy layers

This study presents a nonlinear transient finite element model for the elastodynamic response of thick shape memory alloy (SMA) composite beams. A three-dimensional thick beam with a matrix material and embedded SMA ribbons or wires is investigated. To predict the behavior of the beam, a higher-order shear-deformation beam theory and the von-Karman strain field are employed. A one-dimensional constitutive model and sinusoidal phase transformation kinetics are utilized to model the thermo-mechanical behavior of the SMA layers. A finite element model is developed to predict both passive and active performance. Numerical results are obtained for a beam composed of a polycarbonate layer as the matrix, and a segment of Nitinol ribbon embedded in the polycarbonate layer at its neutral surface. The numerical results demonstrate an effective vibration suppression of the beam when the SMA layer is activated. A parametric study is conducted to demonstrate the effects of different material and geometric properties on the active vibration response of the SMA composite beam.