白色雑音励振を受ける漸硬ばね系のFokker-Planck方程式の解を用いた最尤法による同定法の実験検証

抄録

In this research, the system identification based on the maximum likelihood estimation method using the analytical solution of the Fokker-Plank equation is discussed in case of a nonlinear one-degree-of-freedom system. In previous work, an author was already reported about the verification result of the fundamental operation. However, there is a problem which the previous study didn’t consider the experimental approach. Therefore, it is necessary the experimental identification. First, the expansion of the identification algorithm to an actual experimental situation was conducted based on the displacement white noise excitation system. Furthermore, the experimental system was fabricated using the geometrical nonlinear spring. Moreover, the identification experiment was performed.