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Applied Mathematics and Mechanics (English Edition) ›› 2026, Vol. 47 ›› Issue (1): 1-18.doi: https://doi.org/10.1007/s10483-026-3331-6

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A novel scaling method for the elastic ring supporting structure of an aero-engine rotor system: analytical and experimental investigations

Lei LI1,2,3,4,†(), Tianyue MA1,5, Zhong LUO1,3,5, Dongwu GAO6, Xiangdong GE6, Hui MA1,5, Shibin WANG7   

  1. 1.School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China
    2.Guangxi Key Laboratory of Automobile Components and Vehicle Technology, Guangxi University of Science and Technology, Liuzhou 545006, Guangxi Zhuang Autonomous Region, China
    3.Foshan Graduate School of Innovation, Northeastern University, Foshan 528312, Guangdong Province, China
    4.National Key Laboratory of Particle Transport and Separation Technology, Tianjin 300180, China
    5.Key Laboratory of Vibration and Control of Aero-Propulsion Systems, Ministry ofEducation of China, Northeastern University, Shenyang 110819, China
    6.Shenyang Aeroengine Research Institute, Aero Engine Corporation of China, Shenyang 110015, China
    7.National Key Lab of Aerospace Power System and Plasma Technology, Xi’an Jiaotong University, Xi’an 710049, China
  • Received:2025-06-03 Revised:2025-10-12 Online:2026-01-01 Published:2025-12-30
  • Contact: †Lei LI, E-mail: lilei2023@mail.neu.edu.cn
  • Supported by:
    National Natural Science Foundation of China(52405095);Guangdong Basic and Applied Basic Research Foundation of China(2023A1515110557);Natural Science Foundation of Liaoning Province of China(2023-BSBA-102);Open Fund of National Key Laboratory of Particle Transport and Separation Technology of China(WZKF-2024-6);Open Project of Guangxi Key Laboratory of Automobile Components and Vehicle Technology of China(2024GKLACVTKF07);Basic Research Projects of Liaoning Provincial Department of Education of China(JYTQN2023162);Fundamental Research Funds for the Central Universities of China(N2403022);Project supported by the National Natural Science Foundation of China (Nos. 52405095, 12272089, and 92360305), the Guangdong Basic and Applied Basic Research Foundation of China (No. 2023A1515110557), the Natural Science Foundation of Liaoning Province of China (No. 2023-BSBA-102), the Open Fund of National Key Laboratory of Particle Transport and Separation Technology of China (No. WZKF-2024-6), the Open Project of Guangxi Key Laboratory of Automobile Components and Vehicle Technology of China (Nos. 2024GKLACVTKF07 and 2024GKLACVTKF06), the Basic Research Projects of Liaoning Provincial Department of Education of China (No. JYTQN2023162), and the Fundamental Research Funds for the Central Universities of China (No. N2403022)

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Abstract:

The testing of large structures is limited by high costs and long cycles, making scaling methods an attractive solution. However, the scaling process of elastic rings introduces complexities in multi-parameter geometric distortions, leading to a diminution in the predictive accuracy of the distorted similitude. To address this challenge, this study formulates a novel set of scaling laws, tailored to account for the intricate geometric distortions associated with elastic rings. The proposed scaling laws are formulated based on the intrinsic deformation characteristics of elastic rings, rather than the traditional systemic governing equations. Numerical and experimental cases are conducted to assess the efficacy and precision of the proposed scaling laws, and the obtained results are compared with those achieved by traditional methods. The outcomes demonstrate that the scaling laws put forth by this study significantly enhance the predictive capabilities for deformations of elastic rings.

Key words: rotor system, aero-engine, elastic ring, scaling method, supporting structure

2010 MSC Number: 

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