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

• Published in: Applied mathematics and mechanics Vol. 45; no. 1; pp. 111 - 136
• Main Authors: Wu, Zhiyuan, Zhao, Linchuan, Yan, Han, Yan, Ge, Chen, Ao, Zhang, Wenming
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 2024; Springer Nature B.V
• Edition: English ed.
• Subjects: Acceleration; Applications of Mathematics; Classical Mechanics; Dynamic characteristics; Dynamic models; Elastic deformation; Fault diagnosis; Fluid- and Aerodynamics; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Partial Differential Equations; Resonant frequencies; Rotating machinery; Rotation; Rotors; Rubbing; Stiffening; Stiffness; spin and whirl; rotational effect; shaft-disk-blade-casing (SDBC); 65L15; 74H45; large rotation; O326; multi-blade rubbing; V231.96; 70J35
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-024-3071-5

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.