科氏效应对叶片-桨毂-轴耦合系统振动特性的影响规律研究

Subjects: Mechanics >> Applied Mechanics submitted time 2023-03-20 Cooperative journals: 《应用力学学报》

周子宣 黄修长 华宏星

Abstract： Geometry exact model and order reservation approach were adopted to describe the spatial de-formation of the blade , the dynamic model of the blade-hub-shaft coupling system considering the Corioliseffect and the centrifugal stiffening effect was established, and the vibration differential equation of thecoupling system was derived.The Rayleigh-Ritz. method was used for numerical dispersion , and the influ-ence of the Coriolis effect on the system modal frequency was calculated under different stiffiness ratios , ra-dius ratios , rotation speeds and blade numbers. The research shows that the modes of blade-hub-shaft cou-pling system consist of two types of coupled and uncoupled modes.The frequency of the coupled mode issignificantly reduced after considering the Coriolis effect.As the radius ratio increases , the influence of the Coriolis effect on the first order coupled modal frequency is gradually weakened , and the influence on thesecond-order coupled modal frequency is gradually strengthened; the raise of the rotational speed will im-prove the sensitivity of the coupled modal to the Coriolis effect; the blade modes shape conversion phe-nomenon occurs when the stiffness ratio is within the range of 10'-10 ,the effect of the Coriolis effect be-comes more significant after the mode shape conversion.As the number of blades increases , the influenceof the Coriolis effect on the modal frequency gradually decreases. The research results provide theoreticalreference for the dynamic design of the rotating blade-hub-shaft coupling system.

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