| 苑高飞,冯志壮,谷晓宁,邢龙涛,樊枫.面内碰摩作用下带冠叶片组合共振动力学特性研究[J].装备环境工程,2025,22(1):69-80. YUAN Gaofei,FENG Zhizhuang,GU Xiaoning,XING Longtao,FAN Feng.Combination Resonance of a Shrouded Blade under In-plane Contact and Friction[J].Equipment Environmental Engineering,2025,22(1):69-80. |
| 面内碰摩作用下带冠叶片组合共振动力学特性研究 |
| Combination Resonance of a Shrouded Blade under In-plane Contact and Friction |
| 投稿时间：2024-06-16 修订日期：2024-09-20 |
| DOI：10.7643/issn.1672-9242.2025.01.007 |
| 中文关键词: 带冠叶片 冠间碰摩 几何非线性 组合共振 多尺度法 谐波平衡法中图分类号:TH453 文献标志码:A 文章编号:1672-9242(2025)01-0069-12 |
| 英文关键词:shrouded blade contact and friction between adjacent shrouds geometric nonlinearity combination resonance method of multiple scales method of harmonic balance |
| 基金项目:直升机旋翼动力学国家级重点实验室基金(61422202206) |
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| Author | Institution |
| YUAN Gaofei | National Key Laboratory of Helicopter Aeromechanics, China Helicopter Research and Development Institute, Jiangxi Jingdezhen 333001, China |
| FENG Zhizhuang | National Key Laboratory of Helicopter Aeromechanics, China Helicopter Research and Development Institute, Jiangxi Jingdezhen 333001, China |
| GU Xiaoning | School of Mechanical Engineering, Dalian University of Technology, Liaoning Dalian 116024, China |
| XING Longtao | National Key Laboratory of Helicopter Aeromechanics, China Helicopter Research and Development Institute, Jiangxi Jingdezhen 333001, China |
| FAN Feng | National Key Laboratory of Helicopter Aeromechanics, China Helicopter Research and Development Institute, Jiangxi Jingdezhen 333001, China |
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| 中文摘要: |
| 目的 研究面内碰摩作用下带冠叶片组合共振的动力学特性。方法 将带冠叶片等效为端部具有集中质量的旋转悬臂梁结构，随后基于宏观滑移原理建立冠间碰摩载荷的力学模型，并采用谐波平衡法求解该载荷的等效刚度和等效阻尼，最后采用多尺度法建立组合共振下柔性带冠叶片的瞬态及稳态振动控制方程。研究叶冠倾角及频率解谐参数对组合共振下叶片瞬态及稳态响应动力学特性的影响。结果 特定参数条件下，柔性带冠叶片将发生组合共振，忽略叶冠碰摩作用时，内共振和主共振将不会同时发生。结论 组合共振下，主共振能量通过内共振模态间的耦合作用由主共振模态传递到非主共振模态上，且内共振模态稳态响应幅值存在π的相位差。几何非线性在变主共振解谐参数的稳态振动中起硬弹簧作用，而其在变内共振解谐参数的响应中起软弹簧作用。增大叶冠法向接触刚度会抑制组合共振下叶片的稳态响应幅值，并缩窄不稳定域的宽度。 |
| 英文摘要: |
| The work aims to study the dynamic characteristics of the combination resonance in vibration responses of the shrouded blade under in-plane contact and friction. Firstly, the shrouded blade was modeled as a rotating beam with a mass on the blade tip, and the mechanical model of contact and friction forces between adjacent shrouds was established through the macro-slip model. Then, the equivalent stiffness and damping of the mechanical model were solved by the harmonic balance method, and the transient and steady-state equations under the combination resonance were established by the method of multiple scales. The effects of shrouded blade inclination angle and frequency detuning parameters on the dynamic characteristics of transient and steady-state responses under combination resonance were studied. Under the condition of specific parameters, the combination resonance occurred in the shrouded blade, and the internal resonance and the primary resonance did not occur at the same time when the rub-impact effect of the shrouded blade was ignored. Under the combination resonance, the primary resonance energy is transferred from the main resonance mode to the non-main resonance mode through the coupling between the internal resonance modes, and the steady-state response amplitude of the internal resonance modes has a π phase difference. Geometric nonlinearity plays a role of hardening spring in the steady-state response of the blade under variable detuning parameters of the primary resonance, whereas, it plays the role of softening spring in the response under variable detuning parameter of the internal resonance. Increasing the normal contact stiffness of the bladed shroud will suppress the steady-state response amplitude of the blade under combination resonance and narrow the width of the unstable domain. |
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