附加阻尼环的航空齿轮强迫响应分析方法  

Forced Response Analysis Method of Ring Dampers for Aviation Gears

作　　者：叶航 王延荣[2] 苗国磊 苏雷 王帅 YE Hang;WANG Yan-rong;MIAO Guo-lei;SU Lei;WANG Shuai(Chengdu Holy(Group)Industrial Co.,Ltd.,Chengdu 610093,China;School of Energy and Power Engineering,Beihang University,Beijing 100191,China;AECC Hunan Aviation Powerplant Research Institute,Zhuzhou Hunan 412002,China)

机构地区：[1]成都航利(集团)实业有限公司,成都610093 [2]北京航空航天大学能源与动力工程学院,北京100191 [3]中国航发湖南动力机械研究所,湖南株洲412002

出　　处：《航空发动机》2024年第1期117-123,共7页Aeroengine

基　　金：国家自然科学基金(51475022)资助。

摘　　要：为了避免航空齿轮振动过大导致齿轮辐板破裂,在齿轮外缘安装阻尼环是一种有效减振方法。针对工程中阻尼环设计时缺乏有效便捷的设计方法问题,基于能量法建立了航空齿轮节径型振动下阻尼环的等效参数模型。在给定模态振型下,将阻尼环的影响效果简化为依赖于齿轮振幅(振动应力)的等效阻尼、等效刚度和等效质量,实现了齿轮-阻尼环系统幅频响应快速求解。以某航空齿轮为例,分析了激励载荷、摩擦系数、转速以及结构固有阻尼对强迫响应的影响,结合许用振动应力进行了阻尼环优化设计。结果表明:阻尼环减振效果与振动应力具有强非线性,在本文给定的激励载荷及100 MPa许用振动应力下,阻尼环质量比不应大于5%,最佳摩擦系数为0.1,设计得当的阻尼环能够降低50%以上的振动应力。In order to prevent the gear web from cracking due to excessive vibration of the aviation gear,installing a ring damper on the rim of the gear is an effective vibration reduction method.Aiming at the lack of effective and convenient design methods for ring damper design in engineering,an equivalent parameter model of ring damper under nodal-diameter vibration of aviation gears was established based on the energy method.Under a given mode shape,the influence effect of the ring damper is simplified to the equivalent damping,equivalent stiffness,and equivalent mass depending on the gear amplitude(vibration stress),and the fast solution of the amplitudefrequency response of the gear-ring damper system is realized.Taking an aviation gear as an example,the effects of excitation load,friction coefficient,rotational speed,and inherent damping of the structure on the forced response were analyzed.Finally,the optimal design of the ring damper was carried out in combination with the allowable vibration stress.The results show that the damping effect of the ring damper has strong nonlinearity with the vibration stress,under the given excitation load and 100 MPa allowable stress,the mass ratio of the ring damper should not be greater than 5%,and the optimal friction coefficient is 0.1.A well-designed ring damper can reduce vibration stress by more than 50%.

关 键 词：航空齿轮 阻尼环 减振 等效阻尼 强迫响应 

分 类 号：V232.8[航空宇航科学与技术—航空宇航推进理论与工程]