Abstract：The free vibration model of a rotating composite thin-walled closed-section beams with SMA fiber actuation is presented in this paper. The structural modeling is split into two parts: a two-dimensional analysis over the cross section, and a linear analysis of a beam along the beam span. The two-dimensional cross-sectional analysis is based on the force- deformation relationships equations, accounting for the presence of active SMA fibers distributed along the cross-section of the beam. Hamilton’s principle is employed to derive the equations of motion and associated boundary conditions of the beams. The model includes anisotropy, pitch and precone angle. The Galerkin method is employed in order to solve the coupled differential equations. Numerical results are obtained for two cantilevered box beam: Circumferentially Uniform Stiffness(CUS) and Circumferentially Antisymmetric Stiffness (CAS), the effects of the volume fraction of the SMA fiber, the martensitic residual strain, the fiber orientation, pitch and precone on the natural frequencies associated with coupled vibration modes are investigated.
2011, Vol. 32 
