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| Combination Resonance of a Shrouded Blade under In-plane Contact and Friction |
| Received:June 16, 2024 Revised:September 20, 2024 |
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| DOI：10.7643/issn.1672-9242.2025.01.007 |
| KeyWord:shrouded blade contact and friction between adjacent shrouds geometric nonlinearity combination resonance method of multiple scales method of harmonic balance |
| Author | Institution |
| YUAN Gaofei |
National Key Laboratory of Helicopter Aeromechanics, China Helicopter Research and Development Institute, Jiangxi Jingdezhen , China |
| FENG Zhizhuang |
National Key Laboratory of Helicopter Aeromechanics, China Helicopter Research and Development Institute, Jiangxi Jingdezhen , China |
| GU Xiaoning |
School of Mechanical Engineering, Dalian University of Technology, Liaoning Dalian , China |
| XING Longtao |
National Key Laboratory of Helicopter Aeromechanics, China Helicopter Research and Development Institute, Jiangxi Jingdezhen , China |
| FAN Feng |
National Key Laboratory of Helicopter Aeromechanics, China Helicopter Research and Development Institute, Jiangxi Jingdezhen , China |
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| Abstract: |
| 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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