SPECTRAL ELEMENT MODEL FOR THE AXIAL-BENDING-SHEAR COUPLED VIBRATION OF A COMPOSITE TIMOSHENKO BEAM

초록

In this paper, a spectral element model is developed for the axial-bending-shear coupled vibration of an axially loaded composite laminated beam which is represented by the Timoshenko beam model based on the first-order shear deformation theory (FSDT). The spectral element matrix is formulated from exact wave solutions which satisfy the frequency-domain governing equations transformed by the use of discrete Fourier transform theory, the present spectral element model can not only provide extremely accurate solutions with using only a minimum number of degrees of freedom but also contribute to improving the computation efficiency. The high accuracy of the present spectral element model is numerically verified by comparing its solutions with exact analytical solutions available from references as well as with the solutions obtained by conventional finite element method.