Natural frequency analysis of rotating thin-walled beams with embedded shape memory alloy wires subjected to uniform temperature field

In this paper, free vibration analysis of the rotating thin-walled composite beams with embedded shape memory alloy (SMA) wires is represented. Pre-strained SMA wires are embedded in the middle of the cross section of thin-wall composite beam, symmetrically. The one-dimensional thermo-mechanical constitutive law suggested by Liang-Rogers is applied to model the thermomechanical behavior of SMA wires. The differential governing equations are extracted by using the extended Hamilton’s principle based on first-order shear deformation theory. By heating the thin-walled beam, strain recovery operation will produce a tensile force along the longitudinal thin-walled beam. In order to solve the governing equations, the extended Galerkin method (EGM) is used. The result investigated the effect of rotational speed, recoverable strain limit, pre-twist angle, number of SMA wire and temperature difference on the natural frequency in temperature above the austenite finish are illustrated. It is found that the natural frequencies of rotating thin-walled beam increase as the number of SMA wires and compressive pre-strained SMA wires increases. In addition, results are in good agreement with those obtained in the literature.