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阻尼环结构行波振动的非线性分析方法及试验

杜晨鸿1,王延荣2,王发忠3,蒋向华1,焦赞3,程前3   

  1. 1. 北京航空航天大学
    2. 北京航空航天大学动力学院航空发动机数值仿真中心
    3. 中国航发四川燃气涡轮研究院
  • 收稿日期:2025-12-24 修回日期:2026-04-14 出版日期:2026-04-20 发布日期:2026-04-20
  • 通讯作者: 蒋向华
  • 基金资助:
    国家科技重大专项

Nonlinear analysis method and experiment on rotationally cyclic structure with a ring damper suppressing vibration under traveling wave excitation

  • Received:2025-12-24 Revised:2026-04-14 Online:2026-04-20 Published:2026-04-20

摘要: 在航空燃气涡轮发动机设计中,常需要对含干摩擦阻尼的循环对称结构行波振动下的振动特性进行分析。本文采用单个扇区有限元模型,利用循环对称边界条件和Craig-Bampton法进行自由度减缩;采用谐波平衡法计算结构在行波激励下的响应,基于非线性复振动形态法的框架,提出了一种基于非线性振动形态的共振响应计算方法,将上述方法应用于阻尼比特性曲线和脊线的计算。对整体叶盘阻尼环结构开展参数敏感性分析,并构建关键设计参数的响应面模型。结果表明,阻尼环的阻尼特性对行波方向不敏感,而增大阻尼环截面尺寸可以提高峰值阻尼比,但过大的截面尺寸可能会增加临界振幅。对实际整体叶盘结构进行结构改进,加设阻尼环,并进行旋转激励试验,结果表明阻尼环可以降低部分振动形态80%左右的振幅。本研究构建的分析方法为循环对称结构在行波激励下的干摩擦阻尼特性分析及结构优化提供了有效工具。

关键词: 整体叶盘, 阻尼环, 干摩擦, 非线性振动形态, 降阶模型, 阻尼比, 旋转激励

Abstract: During the design of gas turbine aircraft engines, it is essential to analyze the vibration and damping characteristics of the rotationally cyclic structure experiencing traveling wave vibration. A finite element model of a single sector is established. The cyclic symmetry boundary conditions and Craig-Bampton reduction method are combined to construct a reduced order model. Based on the harmonic balance method, the structural forced responses under traveling wave excitation are calculated. By integrating the nonlinear complex vibrational pattern method, the proposed approach enables the calculation of the nonlinear vibrational pattern. A method based on the nonlinear vibrational pattern is proposed to calculate the resonant response of the blisk. A sensitivity analysis is conducted on the blisk with a ring damper, and a response surface model of the key design parameters is constructed. The results reveal two key findings: (1) damping characteristics exhibit negligible sensitivity to traveling wave direction and (2) increasing the ring damper cross-sectional dimension enhances peak damping ratios but may increase critical amplitudes. The actual blisk is modified to add a ring damper. A rotational excitation test is performed. The results show that the ring damper reduces the amplitude by approximately 80%. This method provides an effective tool for damping analysis and structural optimization of cyclic structures under traveling wave vibration.

Key words: blisk, ring damper, dry friction, nonlinear vibrational pattern, reduced order model, damping ratio, rotational excitation

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