旋回流れに起因して弾性円環に発生する流れ励起不安定波動の分散関係と安定性解析

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  • Dispersion Relation and Stability Analysis of Flow-Induced Wave of a Flexible Circular Ring Subjected to Swirling Fluid Flow.
  • センカイ ナガレ ニ キイン シテ ダンセイエンカン ニ ハッセイ スル ナガレレイキフアンテイ ハドウ ノ ブンサン カンケイ ト アンテイセイ カイセキ

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This paper deals with a theoretical stability analysis of flow-induced waves induced in a flexible circular ring subjected to swirling fluid flow. In the stability analysis, wave equation of the system is derived from the equation of motion of the flexible circular ring coupled with the swirling fluid flow. The equation of motion of the flexible circular ring is based on the Kirchhoff-Love's thin-plate model and the equations of motion of the fluid flow are based on Navier-Stokes equations. The dispersion relation of the waves are calculated as a function of the ring rotational speed. As a result, the analytical results show that unstable wave occurs in the circular ring due to the swirling fluid flow and clarifies the traveling-wave speed and the growth rate of the flow-induced waves.

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