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    多模态振动下裂纹对叶片动应变重构的影响

    Effect of Cracks on Dynamic Strain Reconstruction of Blades Under Multi-Mode Vibration

    • 摘要: 为研究裂纹对多模态振动下叶片动应变重构的影响,建立了含裂纹叶片的有限元模型,对叶片依次进行模态分析和瞬态分析,基于Simulink平台模拟叶尖定时测量系统采集叶尖振动位移信号,采用最小二乘法对耦合位移信号进行解耦处理,借助位移-应变传递比实现从叶尖位移到全场动态应变的重构,并将该方法应用于叶尖、叶身和叶根3种裂纹位置场景.仿真结果表明:健康叶片重构应变与有限元分析结果的应变相关性(SCE)达0.996,含裂纹叶片的SCE值为0.874~0.932,相对误差均在可接受范围内.该研究为含裂纹叶片动态特性分析提供了可靠的数值仿真方法,对航空发动机叶片的应变识别和振动监测具有重要工程参考价值.

       

      Abstract: To investigate the influence of cracks on dynamic strain reconstruction of blades under multi-mode vibration,this study developed finite element models for cracked blades to conduct modal and transient analysis.It simulated a Blade Tip Timing (BTT) measurement system on the Simulink platform to acquire blade tip vibration displacement signals,and employed the least squares method to decouple the coupled displacement data.The study reconstructed full-field dynamic strain from the decoupled tip displacement using a displacement-strain transmissibility,and validated the proposed method under three crack location scenarios:blade tip,blade body,and blade root.Simulation results indicate that the strain correlation coefficient (SCE) between the reconstructed strain of healthy blades and finite element analysis results attains 0.996,while the SCE values for cracked blades range from 0.874 to 0.932,with all relative errors within acceptable limits.This study provides a reliable numerical simulation approach for dynamic characteristics analysis of cracked blades,offering significant engineering reference value for strain identification and vibration monitoring of aero-engine blades.

       

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