353 Dynamic mode decompositionによる大自由度非線形振動解析(領域1 解析・設計の高度化と新展開)

• 白坂 将

  東京工業大学情報環境学専攻

• 紅林 亘

  東京工業大学情報環境学専攻

• 中尾 裕也

  東京工業大学情報環境学専攻

書誌事項

タイトル別名

• 353 Dynamic mode decomposition analysis of nonlinear vibrations in a large degree of freedom system

抄録

Many dynamical systems exhibit complex behaviors dominated by low-dimensional structures, even though they possess a large degree of freedom. Dynamic Mode Decomposition (DMD) is a recent development in the post-processing algorithm for extracting low-dimensional governing features in nonlinear dynamical systems with large dimensions, which can be applied equally well to data from simulations and experiments. Unlike conventional modal decomposition techniques such as the Proper Orthogonal Decomposition (POD), DMD identifies characteristic growth rates, frequencies, and their corresponding spatial patterns. Moreover, the fact that the DMD algorithm is an approximation of the Koopman spectral analysis provides a firm mathematical foundation for its application. DMD has been utilized to analyze systems with large degrees of freedom such as power systems, fluid flows, and heat flows in the building. There also exist many other systems to be analyzed such as microelectromechanical systems (MEMS), which may be a promising direction in the DMD applications. In this study, the DMD analysis is performed on data sets obtained from numerical simulations of MEMS. Complex dynamical behaviors on attractors, including chaos, are successfully decomposed into their characteristic modes, which oscillate with individual fixed frequencies.

収録刊行物

• 機械力学・計測制御講演論文集

  機械力学・計測制御講演論文集 2014 "353-1"-"353-5", 2014-08-25

  一般社団法人日本機械学会

キーワード

• Nonlinear Vibration
• Modal Analysis
• Spectrum Analysis
• Coupled Vibration
• Chaos
• MEMS

詳細情報

• CRID: 1572824502734161664
• NII論文ID: 110009979325
• NII書誌ID: AA11901770
• ISSN: 13480235
• 本文言語コード: ja
• データソース種別:
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