デジタルフィルタによる時間-周波数分析を用いた振動解析に関する基礎的検討

概要

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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 propose a method based on infinite impulse response digital filter technology - termed time-frequency analysis - to analyze transient and steady-state vibrations. Firstly, we introduce the time-frequency analysis procedure and the algorithm to implement this procedure. Secondly, we analyze typical discrete signal inputs such as impulse, sinusoidal and swept sine signals, and present time-frequency characteristics for transient and steady-state signals. Thirdly, we apply our analysis method to the mechanical vibration behavior of a single-degree-of-freedom system subjected to various types of external excitations. The results of our analysis for steady-state vibration are verified as being equivalent to those from a fast Fourier transform (FFT) analysis. Moreover, the proposed analysis has the advantage over FFT analysis that we can also analyze transient vibration phenomena.