榫连叶盘系统动力减缩方法及振动特性研究
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国家自然科学基金资助项目(12202368,12172307,12172311),太行国家实验室第一批课题(THL-K-24-130),东北大学航空动力装备振动及控制教育部重点实验室研究基金(VCAME202205,VCAME202103),应用力学与结构安全四川省重点实验室青年教师科研培育项目(SZZZKT-202206), 四川省自然科学基金(2022NSFSC1997)


A Study on Dynamic Reduction and Vibration Behavior of Bladed Disks with Dovetail Joints
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    摘要:

    针对边界非线性、旋转效应和复杂载荷等因素造成的榫连叶盘系统动力学行为难以高效预测的挑战,提出了一种基于固定界面模态综合法的旋转榫连叶盘系统减缩建模方法.通过在榫接区下覆薄层单元以捕捉榫槽-榫头间接触行为,同时考虑旋转引入的刚化、软化效应以及榫连接外引入的局部载荷作用,从而建立了气动载荷激励下轮盘子结构-榫接区-叶片子结构的榫连叶盘整体减缩模型,讨论了叶片和轮盘截断数对系统前3阶固有频率的作用规律,对比分析了转速和摩擦系数影响下全模型和减缩模型的模态特性和振动响应特性.研究结果表明:(1) 在所研究参数范围内,减缩模型相对于全模型对前3阶固有频率预测的最大偏差不超过0.6%,临界转速预测最大偏差不超过0.1%;(2) 榫接非线性使系统振动响应频谱呈现为激励频率的倍频,且较小的摩擦系数会导致榫接处滑移,体现为振动响应中出现线性趋势分量.

    Abstract:

    In response to the challenge of efficient prediction of the dynamic behavior of the dovetail-connected bladed disk systems involving boundary nonlinearity, rotating effects, complex loads, etc., the fixed interface modal synthesis method is applied to the reduced-order modeling of a rotating dovetail-connected bladed disk system. By introducing thin-layer solid elements on both groove and tenon contact surfaces to capture interference behavior, and considering the rotation-induced stiffening and softening effects as well as the dovetail joint-induced local load action, the reduced system-level model including the disk substructure, dovetail joint zone, and blade substructure under aerodynamic excitation is then established. The influence of the modal truncation numbers of the blade and disk on the first three natural frequencies of the reduced system is discussed, and the effects of rotating speed and friction coefficient on the modal characteristics and vibration responses of both the full and reduced models are compared with each other. The results show that: (1) within the studied parameter range, the maximum deviation of the reduced model in predicting the first three natural frequencies compared to the full model does not exceed 0.6%, and the maximum deviation in predicting the critical speed does not exceed 0.1%; (2) the nonlinearity of the dovetail connection makes the response spectrum of the system to exhibit multiples of the excitation frequency, and a smaller friction coefficient induces slip between the tenon and the groove thus leading to a quasi-linear component in the vibration response.

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唐靖轩,章俊辉,袁钒嘉,曾劲,杨洋,杨翊仁.榫连叶盘系统动力减缩方法及振动特性研究[J].动力学与控制学报,2026,24(2):84~94; Tang Jingxuan, Zhang Junhui, Yuan Fanjia, Zeng Jin, Yang Yang, Yang Yiren. A Study on Dynamic Reduction and Vibration Behavior of Bladed Disks with Dovetail Joints[J]. Journal of Dynamics and Control,2026,24(2):84-94.

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  • 收稿日期:2025-08-04
  • 最后修改日期:2025-09-01
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  • 在线发布日期: 2026-02-06
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