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A dynamic similitude design method for sudden unbalance in rotor systems
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Huaitao SHI1, Yanli REN1, Fengxia HE1, Lei LI2, Zhong LUO2
Journal of Vibration Engineering | 2025, 38(2) : 223 - 231
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Journal of Vibration Engineering | 2025, 38(2): 223-231
A dynamic similitude design method for sudden unbalance in rotor systems
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Huaitao SHI1, Yanli REN1, Fengxia HE1, Lei LI2, Zhong LUO2
Affiliations
  • 1.School of Mechanical Engineering, Shenyang Jianzhu University, Shenyang 110168, China
  • 2.School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China
Published: 2025-02-10 doi: 10.16385/j.cnki.issn.1004-4523.2025.02.001
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A dynamic similitude design method is proposed for the problem of sudden unbalance of the rotor system. The dynamic differential equation requires the application of both equation analysis and dimensional analysis methods to establish the scaling laws, while also considering the damping scaling ratio. Based on the strain energy distribution criterion, a prototype rotor system is designed. The prototype is scaled according to the scaling laws to create a distorted model, and the dynamic similarity between the prototype and the distorted model is verified through simulation and test. The simulation results show that the distorted model exhibits high similarity to the prototype in terms of critical speed, strain energy distribution, and transient response. The errors for the first two critical speeds are 0.1% and 0.13%, respectively, and the error in peak amplitude is 3%. The test results show that the distorted model can accurately predict the critical speed and sudden unbalance vibration response of the prototype, with the errors for the first two critical speeds being 0.79% and 1.72%, respectively, and the error in peak amplitude being 5.98%.

rotor systems  /  dynamic similitude  /  distorted similitude  /  sudden unbalance  /  transient response
Huaitao SHI, Yanli REN, Fengxia HE, Lei LI, Zhong LUO. A dynamic similitude design method for sudden unbalance in rotor systems[J]. Journal of Vibration Engineering, 2025 , 38 (2) : 223 -231 . DOI: 10.16385/j.cnki.issn.1004-4523.2025.02.001
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Year 2025 volume 38 Issue 2
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Article Info
doi: 10.16385/j.cnki.issn.1004-4523.2025.02.001
  • Receive Date：2024-02-02
  • Online Date：2026-02-11
  • Published：2025-02-10
Article Data
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History
  • Received：2024-02-02
  • Revised：2024-08-14
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Affiliations
    1.School of Mechanical Engineering, Shenyang Jianzhu University, Shenyang 110168, China
    2.School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China
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表12种不同金属材料的力学参数
科
Family		 属数
Number of
genus		 种数
Number of
species		 占总种数比例
Percentage of
total species (%)		 属
Genus		 种数
Number of
species		 占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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