Influence of circumferential propagation of pressure waves on aeroelastic stability of fan rotors
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摘要:
基于多通道计算模型，采用能量法分析了风扇转子叶片一弯模态振型下的气动弹性稳定性。揭示了叶片振动引起的非定常压力扰动在周向上的传播规律，并基于影响系数法思想从能量做功角度解释了转子叶片负阻尼的来源。结果表明：叶片振动引起的非定常压力扰动在周向上快速衰减，仅相邻叶片表面存在较大的由振动叶片引起的非定常扰动。振动叶片在其自身引起的非定常气动力总是对流体做正功，气动弹性稳定；转子叶片负阻尼主要来源于相邻叶片振动在其表面引起的非定常气动力做功。一弯模态振型下转子叶片最小气动阻尼主要发生在低节径的原因是相邻叶片振动在转子叶片表面引起的非定常气动力与其振动位移在相位上是同步的，对叶片做正功提供负阻尼。
Abstract:Based on a multi-channel computational model, the aeroelastic stability of fan rotor blades in the first bending mode was analyzed using the energy method. The circumferential propagation characteristics of unsteady pressure disturbances induced by blade vibration were examined, and the sources of negative damping in rotor blades were investigated from an energy perspective using the influence coefficient method. The results indicated that unsteady pressure disturbances caused by blade vibrations decayed rapidly in the circumferential direction, with significant disturbances being present only on adjacent blade surfaces. The unsteady aerodynamic pressure generated by the vibrating blade consistently performed positive work on the fluid, contributing to aeroelastic stability. Negative damping in rotor blades primarily originated from the unsteady aerodynamic pressure induced by adjacent blade vibrations. Minimum aerodynamic damping typically occurred at low nodal diameters, where the unsteady aerodynamic pressure on the rotor blade surface caused by adjacent blade vibrations was in phase with the blade’s vibration displacement, resulting in positive work on the blade and thereby providing negative damping.
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图 5 0号叶片振动在各叶片引起的气动功
Figure 5. Aerodynamic work caused by the vibration of blade 0 on each blade
图 10 不同叶片叠加得到的转子气动阻尼
Figure 10. Rotor aerodynamic damping obtained by stacking different blades
图 14 叶片表面95%叶高功密度分布
Figure 14. 95% span work density distribution on the surface of blades
图 16 95%叶高不同时刻瞬态非定常压力云图
Figure 16. Transient unsteady pressure contours under different times at 95% span
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