Abstract
The main purpose of the current study is to model and identify vibrations in mechanical systems subject to arbitrary external excitations. In this paper, we apply our method based on infinite impulse response digital filter technology - termed time-frequency analysis - to analyze nonlinear vibrations. Firstly, we consider transient and nonstationary forced vibrations of weekly nonlinear systems having a single degree of freedom. With the use of time-frequency analysis method, secondly, we analyze transient forced vibrations for primary and secondary resonances, which is unable to be analyzed by a fast Fourier transform (FFT) analysis. Thirdly, we discuss the passage of the system through resonance when the frequency of the excitation is varied. Moreover, the proposed analysis has the advantage over FFT analysis that we can also analyze transient and nonstationary vibration phenomena.
