Fokker-Planck方程式の解を用いた最尤推定法による線形1自由度系の同定

(非時刻同期データへの拡張)

抄録

The author proposed a new identification method of linear single-degree-of-freedom system using Gaussian random vibration response in a previous paper. However, there is a problem that conventional study including the expansion to asynchronous data. In this paper, an expansion to asynchronous data is conducted. At first, propose identification method is expanded to the asynchronous data using numerical differential of a displacement signal. The correlation between the obtained velocity signal and measured displacement signal is not observed, therefore, the independently between two probabilistic variables is confirmed. Moreover, the numerical simulation of identification is conducted. Especially, the identification experiment is conducted in terms of the number of samples and the damping coefficient. In term of dependency of the number of samples, our proposed method is represented the higher estimation accuracy than AR method and Half Power method. In addition, in term of dependency of the damping coefficient, our proposed method is represented the higher estimation accuracy than AR method and Half Power method, too.