2018年3月1日
Dynamics regularization with tree-like structures
Applied Mathematical Modelling
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- 巻
- 55
- 号
- 開始ページ
- 205
- 終了ページ
- 223
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/j.apm.2017.10.039
- 出版者・発行元
- Elsevier Inc.
The dynamics of a fully nonlinear, tree-structured resonator and its response to a broadband forcing of the branches is examined. It is shown that the broadband forcing yields a transfer of energy between the parts of the spectrum so that the spectrum becomes progressively more narrow-band for each level of the tree-like structure in the direction of the stem. We show that this behavior is in contrast to the response of a linear oscillator, which simply filters out the harmonics away from the resonance. We term such behavior “regularization” and examine its significance for two- and three-dimensional motion using a Lagrangian framework. Key to our analysis is to investigate the dependence of the spectrum of motion, and its narrowing, on the parameters of the tree-like structure, for instance the lengths of different branches. Model predictions are obtained for idealized wind forcing characterized by an airflow that is interrupted at random time intervals. Our numerically-derived results are then compared against the data collected from select analogue laboratory experiments, which confirm the robust nature of the vibration regularization.
- ID情報
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- DOI : 10.1016/j.apm.2017.10.039
- ISSN : 0307-904X
- SCOPUS ID : 85039434732