衝突を伴う片持ちはりにおけるカオス振動の実験

機関リポジトリ 機関リポジトリ (HANDLE) Web Site 被引用文献4件 参考文献17件

書誌事項

タイトル別名
  • Experiments on Chaotic Vibrations of a Cantilevered Beam under Vibroimpact
  • ショウトツ オ トモナウ カタモチハリ ニ オケル カオス シンドウ ノ ジッケン
  • Experiments on Chaotic Vibrations of a Cantilevered Beam under Vibroimpact

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説明

Experimental results are presented on chaotic vibrations of a cantilevered beam under vibroimpact. A rigid bar that is located close to the free end of the beam limits the amplitude of the beam under lateral periodic acceleration, and then asymmetric vibroimpacts are induced. In the frequency region of the impact vibration near the fundamental resonance of the lowest mode, two regions of chaotic responses are observed. There is one impact in an excitation cycle in the higher frequency region of the chaos, while occurrence of impacts in the lower frequency region is less frequent than the former one. The maximum Lyapunov exponent of the chaotic response in the higher frequency region takes higher value than that of the chaos in the lower frequency. Mode contributions to the chaos are inspected by the principal component analysis. The lowest mode of vibration prevails in the vibroimpacting response. In the regions of the chaos, contribution of the second mode of vibration to the chaotic responses increases up to 5%. As the exciting frequency is increased, the contribution of the second vibration mode to the chaos becomes larger owing to the increase in the amplitude of impact vibration. Furthermore, contribution of the second vibration mode drastically increases as the super-harmonic resonance of the second mode is generated. The maximum Lyapunov exponent increases as the contribution of the second mode increases, which implies the close relation between the complexity of the chaotic responses and the participation of the higher modes of vibration.

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