Applied Mathematics and Mechanics (English Edition) ›› 2024, Vol. 45 ›› Issue (1): 111-136.doi: https://doi.org/10.1007/s10483-024-3071-5

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Multi-blade rubbing characteristics of the shaft-disk-blade-casing system with large rotation

Zhiyuan WU1, Linchuan ZHAO1, Han YAN2, Ge YAN1, Ao CHEN1, Wenming ZHANG1,*()   

  1. 1 State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, China
    2 Shanghai Institute of Aerospace Systems Engineering, Shanghai 201108, China
  • Received:2023-10-12 Online:2024-01-01 Published:2023-12-26
  • Contact: Wenming ZHANG E-mail:wenmingz@sjtu.edu.cn
  • Supported by:
    the National Science and Technology Major Project of China(2017-V-0009);the National Natural Science Foundation of China(12032015);the National Natural Science Foundation of China(12121002);the National Funding Program for Postdoctoral Researchers of China(GZC20231586);Project supported by the National Science and Technology Major Project of China (No. 2017-V-0009), the National Natural Science Foundation of China (Nos. 12032015 and 12121002), and the National Funding Program for Postdoctoral Researchers of China (No. GZC20231586)

Abstract:

Blade rubbing faults cause detrimental impact on the operation of aeroengines. Most of the existing studies on blade rubbing in the shaft-disk-blade-casing (SDBC) system have overlooked the elastic deformation of the blade, while some only consider the whirl of the rotor, neglecting its spin. To address these limitations, this paper proposes a dynamic model with large rotation for the SDBC system. The model incorporates the spin and whirl of the rotor, enabling the realistic reproduction of multi-blade rubbing faults. To verify the accuracy of the SDBC model with large rotation and demonstrate its capability to effectively consider the rotational effects such as the centrifugal stiffening and gyroscopic effects, the natural characteristics and dynamic responses of the proposed model are compared with those obtained from reported research and experimental results. Furthermore, the effects of the rotating speed, contact stiffness, and blade number on the dynamic characteristics of the SDBC system with multi-blade rubbing are investigated. The results indicate that the phase angle between the rotor deflection and the unbalance excitation force increases with the increasing rotating speed, which significantly influences the rubbing penetration of each blade. The natural frequency of the SDBC system with rubbing constrain can be observed in the acceleration response of the casing and the torsional response of the shaft, and the frequency is related to the contact stiffness. Moreover, the vibration amplitude increases significantly with the product of the blade number under rubbing, and the rotating frequency approaches the natural frequency of the SDBC system. The proposed model can provide valuable insight for the fault diagnosis of rubbing in bladed rotating machinery.

Key words: shaft-disk-blade-casing (SDBC), large rotation, spin and whirl, multi-blade rubbing, rotational effect

2010 MSC Number: 

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