Spectral Analysis Method for the Linear Discrete Dynamic Systems with Non-Proportional Damping

초록

In this paper, a fast Fourier transforms (FFT)-based spectral analysis method is proposed for the dynamic analysis of the linear discrete dynamic systems with non-proportional viscous damping, which is sub-jected to the non-zero initial conditions. To evaluate the proposed FFT-based spectral analysis method, the forced vibration of a three-degrees-of-freedom system with non-proportional viscous damping is considered as an illustrative problem. The accuracy of the proposed FFT-based spectral analysis method is evaluated by comparing the forced vibration re-sponses obtained by the present FFT-based spectral analysis method with those obtained by using the well-known Runge-Kutta method and the modal analysis method.