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Multi-complex domain perturbation method for sensitivity analysis of rotor dynamic response
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Dong JIANG1, Zhenlu WANG1, Hui QIAN1, Xiaochen HANG1, Zhifu CAO2, Rui ZHU3
Journal of Vibration Engineering | 2025, 38(3) : 469 - 479
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Journal of Vibration Engineering | 2025, 38(3): 469-479
Multi-complex domain perturbation method for sensitivity analysis of rotor dynamic response
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Dong JIANG1, Zhenlu WANG1, Hui QIAN1, Xiaochen HANG1, Zhifu CAO2, Rui ZHU3
Affiliations
  • 1.School of Mechanical and Electronic Engineering，Nanjing Forestry University，Nanjing 210037，China
  • 2.College of Aerospace Engineering，Chongqing University，Chongqing 400044，China
  • 3.School of Engineering and Design，Technical University of Munich，Munich 80539，Germany
Published: 2025-03-10 doi: 10.16385/j.cnki.issn.1004-4523.2025.03.003
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Rotor dynamic response sensitivity analysis is widely used in rotor model updating，parameter identification and structural optimization. In this paper，a first-order，second-order and mixed sensitivity analysis method for dynamic response of rotor system based on multi-complex domain perturbation method is proposed. The design parameters are perturbed in two complex directions respectively，and the motion equation of the rotor system in the double complex domain is obtained. Using the real matrix expression of the complex number，the complex motion equation is extended to obtain the equivalent real motion equation. By solving the equivalent real motion equation，the system response，first-order sensitivity and second-order sensitivity can be obtained simultaneously，and the Hessian matrix of dynamic response sensitivity can also be obtained. The numerical simulation analysis of single-disk rotor system and gas generator rotor system is carried out to verify the correctness of the rotor dynamic response sensitivity analysis method of multi-complex domain perturbation method. Compared with the traditional finite difference method，the multicomplex domain perturbation method shows insensitivity to the error caused by the perturbation step size，and the solution accuracy is higher.

rotor dynamic response  /  multi-complex domain perturbation method  /  second-order sensitivity  /  mixed sensitivity
Dong JIANG, Zhenlu WANG, Hui QIAN, Xiaochen HANG, Zhifu CAO, Rui ZHU. Multi-complex domain perturbation method for sensitivity analysis of rotor dynamic response[J]. Journal of Vibration Engineering, 2025 , 38 (3) : 469 -479 . DOI: 10.16385/j.cnki.issn.1004-4523.2025.03.003
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Article Info
doi: 10.16385/j.cnki.issn.1004-4523.2025.03.003
  • Receive Date：2023-05-06
  • Online Date：2026-02-11
  • Published：2025-03-10
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  • Received：2023-05-06
  • Revised：2023-06-28
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Affiliations
    1.School of Mechanical and Electronic Engineering，Nanjing Forestry University，Nanjing 210037，China
    2.College of Aerospace Engineering，Chongqing University，Chongqing 400044，China
    3.School of Engineering and Design，Technical University of Munich，Munich 80539，Germany
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https://castjournals.cast.org.cn/joweb/zdgcxb/EN/10.16385/j.cnki.issn.1004-4523.2025.03.003
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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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