In this paper, spectral finite element model (SFEM) for wave propagation in curved beams is presented. Two sets of governing equations for wave motion in a curved beam with constant curvature are developed from energy considerations. The first set of equations of motion is based on the first order shear deformation theory (FSDT). In this theory, shear and rotary inertia effects are included, most commonly used in studies on thick curved beams. The second set of equations of motion is based upon a reduction of Love's thin shell equations neglecting the effects of shear deformation and rotary inertia. The spectral element developed is validated by comparing the present results with those available in the literature. The SFEM is subsequently used to study wavenumber dispersion, free vibration and wave propagation time history in curved beams using these two models for a range of curvatures.

Keywords: Spectral element, Wave propagation, Curved beam, Dispersion, Free vibration.