Abstract
This paper proposes a fast Fourier transforms (FFT)‐based spectral analysis method for the dynamic analysis of linear discrete dynamic systems which have non‐proportional viscous damping and are subjected to non‐zero initial conditions. To evaluate the proposed FFT‐based spectral analysis method, the forced vibration of a three degree‐of‐freedom (DOF) system is considered as an illustrative problem. The accuracy of the proposed FFT‐based spectral analysis method is evaluated by comparing the forced vibration responses obtained by the present FFT‐based spectral analysis method with those obtained by using the well‐known Runge‐Kutta method and modal analysis method.
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