J-1-9-139 ハイブリッド自励振動子の同期ダイナミクスの位相縮約法による解析及びその応用(J-1-9:自励振動1(同期現象・自己同期),領域1:解析・設計の高度化と新展開,総合テーマ「海を越え,国を越え,世代を超えて!」)

• 白坂 将

  東京工業大学大学院情報理工学研究科

• 紅林 亘

  東京工業大学大学院情報理工学研究科

• 中尾 裕也

  東京工業大学大学院情報理工学研究科

書誌事項

タイトル別名

• J-1-9-139 Phase reduction analysis of synchronization dynamics in hybrid self-excited oscillators and its applications

抄録

Hybrid dynamical systems are utilized to describle the behavior of systems that possess some kind of mixed continuous and discrete nature. Mechanical systems that exhibit self-excited vibration with impacting behavior or stick-slip motion belong to the hybrid dynamical systems family. Phase-reduction method provides a useful framework to study synchronization properties of self-excited oscillators. The nonlinear dynamics of limit cycles can be captured quantitatively by a scalar phase equation even in high dimensions as long as the perturbation is sufficiently weak. However, the adjoint method, which provides accurate linear sensitivity of oscillator's phase to perturbations, cannot be applied to hybrid self-excited oscillators straightforwardly due to the non-smoothness of the vector field of hybrid dynamical systems. In this paper, the conventional adjoint method is extended to hybrid dynamical systems, and the validity of the proposed method is demonstrated by examples. The frequency locking behavior of the hybrid self-excited oscillators is also studied. It is confirmed that the synchronization properties of the hybrid oscillators can be well explained by the theory.

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 2013 "139-1"-"139-8", 2013-08-25

  一般社団法人日本機械学会

キーワード

• Nonlinear Vibration
• Self-Excited Vibration
• Synchronization
• Hybrid Dynamical Systems
• Phase Reduction Method

詳細情報

• CRID: 1571417127850875776
• NII論文ID: 110009979091
• NII書誌ID: AA11901770
• ISSN: 13480235
• 本文言語コード: ja
• データソース種別:
  • CiNii Articles