In this paper, a fast Fourier transforms (FFT)-based spectral element method (SEM) is proposed for the dynamic systems subjected to the non-zero arbitrary initial conditions. To evaluate the proposed SEM, the spectral element model for the simply supp...
In this paper, a fast Fourier transforms (FFT)-based spectral element method (SEM) is proposed for the dynamic systems subjected to the non-zero arbitrary initial conditions. To evaluate the proposed SEM, the spectral element model for the simply supported Bernoulli-Euler beam is considered as an example problem. The accuracy of the proposed SEM is evaluated by comparing the dynamic responses obtained by SEM with the exact theoretical solutions.