基于压气机动静叶干涉的共振研究

Study on the Resonance Based on Interference of Rotating and Stationary Blades in Compressor

燃气轮机压气机叶片在设计时需要进行共振考核,但由于激振力复杂,叶片产生共振的条件也不相同。考虑了动静叶的干涉扰动,得到一般气流压力脉动模型,然后在压力脉动作用下推导下游动叶受迫响应的解析解,从受迫响应的解中得出基于压力脉动特性的共振条件。最后利用某燃气轮机压气机叶片轮盘模型进行了验证,得到了与理论推导一致的结果。该共振条件基于动静叶数量和动叶轮盘模态特性关系,揭示了阶次激励作用下叶片轮盘耦合振动存在更多可能出现的共振点,在设计阶段需要注意避开这些共振点,控制叶片振动,保证叶片安全运行。

Vibration resonance assessment is required in design of compressor blades of gas turbine.However,the conditions for the resonance of the blade are different due to complex excitations.A new model of general pressure pulsations was developed considering the disturbances of rotating and stationary blades.Then the analytical solution of the forced response of the bladed-disc under the pressure pulsation was derived.The resonance condition was obtained from the solution of the forced response.Finally,the resonance condition was validated by a compressor bladed-disk model,and the result was consistent with that of theoretical derivation.The resonance condition regarding the relationship of the number of rotating and stationary blades and the modal characteristics of the bladed-disc reveals that there exist more possible resonance points under the engine order excitation,so it is necessary to avoid these resonance points in the design stage to control blade vibration and ensure operation safety.