Dynamic modeling and simulation of blade-casing system with rubbing considering time-varying stiffness and mass of casing

• Published in: Applied mathematics and mechanics Vol. 46; no. 5; pp. 849 - 868
• Main Authors: Ma, Hui, Guan, Hong, Qu, Lin, Guo, Xumin, Mu, Qinqin, Zeng, Yao, Chen, Yanyan
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2025; Springer Nature B.V
• Edition: English ed.
• Subjects: Applications of Mathematics; Classical Mechanics; Coating effects; Dynamic models; Finite element method; Fluid- and Aerodynamics; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Partial Differential Equations; Rubbing; Stiffness; Time measurement; Waveforms; O322; 74H45; 74S05; coating wear; O342; flexibly coated casing; dynamic modeling; nonlinear vibration; rubbing
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-025-3244-7

As a common fault of the aero-engine, the blade-casing rubbing (BCR) has the potential to cause catastrophic accidents. In this paper, to investigate the dynamic responses and wear characteristics of the system, the laminated shell element is used to establish the finite element model (FEM) of a flexibly coated casing system. Using the shell element, the blade is modeled, and the surface stress of the blade is calculated. The stress-solving method of the blade is validated through comparisons with the measured time-domain waveform of the stress. Then, a dynamic model of a blade-flexibly coated casing system with rubbing is proposed, accounting for the time-varying mass and stiffness of the casing caused by coating wear. The effects of the proposed flexible casing model are compared with those of a rigid casing model, and the stress changes induced by rubbing are investigated. The results show that the natural characteristics of the coated casing decrease due to the coating wear. The flexibly coated casing model is found to be more suitable for studying casing vibration. Additionally, the stress changes caused by rubbing are slight, and the change in the stress maximum is approximately 5% under the influence of the abrasive coating.