MISC

2019年

Fokker-Planck方程式の解を用いた最尤推定法に基づく1自由度系の同定

Dynamics & Design Conference
  • 高田 宗一朗

2019
0
開始ページ
157
終了ページ
157
記述言語
日本語
掲載種別
研究発表ペーパー・要旨(全国大会,その他学術会議)
DOI
10.1299/jsmedmc.2019.157
出版者・発行元
一般社団法人 日本機械学会

<p>This paper discusses a new identification method of linear single-degree-of-freedom system using Gaussian random vibration response. The propose method is based on the method of Maximum Likelihood Estimation (MLE). The likelihood function of proposed method is composed from the analytical solution of Fokker-Planck equation. The estimation formulas of unknown parameter are obtained by maximization of the original likelihood function. The obtained estimators correspond with population variance estimation of multivariate Gaussian model. Furthermore, the numerical identifications are conducted using the random vibration response by calculation result of 4th Runge-Kutta method. In the result, the estimation performance of the propose method is confirmed in terms of dependency of sample number and dependency of damping coefficient. Especially, the proposed method is implied the application to identification problem of large damping system. Quantification of large damping characteristic is important problem, because it is very difficult problem in conventional identification method. Moreover, the benchmark tests are conducted with Half-Power Method (HPM) based on the spectral analysis and Auto-Regressive Method (ARM) based on the time series analysis, respectively. The results of benchmark are shown in the accuracy of propose method is higher than its of HPM and ARM, respectively.</p>

リンク情報
DOI
https://doi.org/10.1299/jsmedmc.2019.157
CiNii Articles
http://ci.nii.ac.jp/naid/130007802122