非線形振動系における高次スペクトルおよび非線形パラメータの逐次推定

抄録

The authors have focused on nonlinear oscillating systems subjected to irregular inputs and have been engaged in research on higher-order spectral analysis. In this report, as an application of signal processing methods, we identify state quantities such as displacement and velocity sequentially using a "particle filter" related to Bayes' theorem. In addition, physical parameters are also identified sequentially as unknown state quantities. Higher-order spectra are also sequentially estimated in order to grasp the ever-changing nonlinear characteristics. This paper proposes a method for sequential estimation of higher-order spectra and nonlinear parameters in nonlinear vibration systems, presents the effectiveness of the method, and summarizes the issues involved.