Spectral Element Modeling for Elastic Two-Layer Beams

This paper develops a spectral element model for elastic-elastic two-layered beams. First, the axial-bending coupled equations of motion for an elastic two-layer laminated beam are derived. The spectral element model is then formulated by using the wave solutions satisfying governing equations in frequency-domain as the frequency-dependent shape functions. The spectral element model is finally applied to a cantilevered elastic-elastic two-layered beam as an illustrative problem. The high accuracy of the present spectral element model is verified by comparing the SEM results with those obtained by conventional FEM.