基于差分進化算法的轉子有限元模型修正

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中圖分類號：TB9；TH133 文獻標志碼：A文章編號：1674-5124（2025）06-0141-09

Rotor finite element model modification based on differential evolution algorithm

HUANG Tianyi， LIANG Jie， YAO Shuang， ZHANG Hao， SHI Zhanqun （School of Mechanical Engineering，Hebei University of Technology，Tianjin 30o130， China）

Abstract： In the modeling process，constraints imposed by measurement environments and precision often result insignificant discrepancies between specified parameters and actual values of rotor structures，leading to mismatches between theoretical calculations based on the model and measured values. To address this issue， a model correction method has been proposed，combining experimental modalities with the diferential evolution algorithm. Sensitivity analysis of modal frequencies to rotor material parameters have been initially conducted， establishing an objective function based on the confidence levels of modal frequencies and modal shapes.The diferential evolution algorithm has been applied to correct the model's mass and stiffness matrices，followed by the determination of the Rayleigh damping matrix based on experimental modal frequencies and damping ratios.To validate the applicability of the method，the finite element model of a rotor on a sliding bearing experimental setup has been corrected. Comparative analysis with the initial model reveals that the corrected model exhibits modal frequency errors below 0.02% ，and the modal confidence intervals between computed and experimental modal shapes consistently exceed 0.9. To verify the accuracy of the method， frequency response function and unbalanced response simulations have been conducted on the revised model，and the error between the simulation results and experimental results were both less than 2.5% . This method effectively enhances the precision of the rotor system model， providing a practical reference for dynamic analysis and engineering applications.

Keywords： diffrential evolution algorithm; experimental mode; rotor dynamics; model modification

0引言

在能源、電力、航空航天和水運交通等工業(yè)領域中，隨著對高功率、高轉速、高可靠性的大型旋轉設備需求日益增長，準確預測和實時監(jiān)測轉子系統(tǒng)的動態(tài)行為變得至關重要，因此需要建立具有高保真度的轉子有限元模型[1-3]。（剩余10501字）