基于Scanlan颤振导数理论求解水翼临界颤振状态

Identification of critical flutter state of a hydrofoilbased on Scanlan flutter derivative theory

颤振是一种振幅不衰减的自激振动,水翼的颤振预测一直是水弹性力学领域研究的难点。引进空气动力学领域的Scanlan颤振导数理论,应用于水翼的临界颤振状态识别。首先根据理论求解水翼的颤振导数,并结合临界颤振状态条件求得水翼的临界颤振状态;然后采用纽马克-β法对求得的结果进行了验证,结果吻合良好;最后对水翼的振动状态进行了简要的分析。通过计算,证明了Scanlan颤振导数理论可以应用于水翼临界颤振状态的预测,为水翼颤振现象的研究提供新思路。

Flutter is a kind of self-excited vibration with non attenuation amplitude.Flutter prediction of a hydrofoil has always been a difficulty in the field of hydroelasticity.In this paper,the Scanlan flutter derivative theory in the field of aerodynamics is introduced to identify the critical flutter state of a hydrofoil.Firstly,the flutter derivative of the hydrofoil is solved according to the theory,and the critical flutter state of the hydrofoil is obtained by combining with the critical flutter conditions.Then,the Newmark-βmethod is used to verify and analyze the obtained results,which are in good agreement.Finally,the vibration state of the hydrofoil is briefly analyzed.The calculation conducted in this paper proves that Scanlan flutter derivative theory can be applied to the prediction of hydrofoil critical flutter state,which provides a new idea for the study of hydrofoil flutter.