航空高速薄辐板弧齿锥齿轮行波共振动力学响应特性与试验

Experiment on travelling wave resonance dynamic response characteristics of aviation high speed thin-walled spiral bevel gear

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DOI 10.13224/j.cnki.jasp.20240452
刊名
年,卷(期) 2025, 40(04)
作者
作者单位 1.沈阳航空航天大学;
2.哈尔滨工程大学;
3.中国航发沈阳发动机研究所

摘要
针对航空高速薄辐板弧齿锥齿轮在工作中由于行波共振导致轮齿断裂故障频发,其行波共振动力学响应特性不清晰的问题,建立了一种基于显式算法的航空薄辐板弧齿锥齿轮瞬态接触动力学分析模型。考虑齿轮转速、扭矩以及时变啮合刚度的影响,计算齿轮动频值进而对行波共振点进行精准预测,研究了行波共振下齿轮轴向振动位移和动应力的动态响应特性以及振动位移场和应力场的分布规律。研究结果表明:在三节径前行波共振工况下,从动锥齿轮轴向振动位移场在周向呈现谷峰交替的三峰三谷扇形分布快速迁移的特征,行波迁移方向与齿轮转动方向相同、迁移速度远高于齿轮的旋转速度;振动应力场在周向表现为三峰的花瓣状分布形式,在齿根槽位置和齿面啮合位置存在应力集中现象;振动位移和应力响应均表现为高次谐波振动密集分布的特征。试验测量从动锥齿轮三节径前行波共振转速与仿真计算预测的行波共振转速的相对误差为1.1%,试验测量的应力值与仿真提取分析的应力值两者量级相当,验证了行波共振点预测的准确性及瞬态接触动力学分析模型的有效性。
Abstract
Aiming at the problem that the travelling wave resonance(TWR) of the aviation high speed thin-walled spiral bevel gear causes frequent tooth fracture faults during operation, and the dynamic response characteristics of the TWR are not clear, a transient contact dynamics analysis model of the aviation thin-walled spiral bevel gear based on the explicit algorithm is established. Considering the influence of gear speed, torque and time-varying meshing stiffness, the dynamic frequency value of the gear is calculated and the TWR point is accurately predicted. The dynamic response characteristics of the axial vibration displacement and dynamic stress of the gear under the TWR and the distribution law of the vibration displacement field and the stress field are studied. The results show that the axial vibration displacement field of the driven bevel gear presents a three-peak and three-valley distribution form with alternating valleys and peaks in the circumferential direction under the condition of forward traveling wave (FTW) resonance with the third nodal diameter (3rd ND). The traveling wave migration direction is the same as the rotation direction of the gear, and the migration speed is much higher than the rotation speed of the gear, which is characterized by the rapid migration of the sector distribution displacement field. The vibration stress field shows a petal-shaped distribution of three peaks in the circumferential direction, and there is a stress concentration phenomenon at the root groove position and the tooth surface meshing position. The vibration displacement and stress response are characterized by the dense distribution of high-order harmonic vibration. The relative error between the FTW resonant speed with the 3rd ND of the driven bevel gear measured by the test and predicted by the simulation calculation is 1.1%, and the stress value measured by the test is consistent with the stress value extracted by the simulation, which verifies the accuracy of the prediction of the TWR point and the validity of the transient contact dynamics analysis model.
关键词
弧齿锥齿轮;行波共振;瞬态动力学分析;振动响应;振动应力;
KeyWord
spiral bevel gears; travelling wave resonance; transient dynamic analysis; vibration response; vibration stress
基金项目
页码 44-54
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栾孝驰;王胜红;柳贡民;沙云东;张茂强. 航空高速薄辐板弧齿锥齿轮行波共振动力学响应特性与试验 [J]. 航空动力学学报. 2025; 40; (04). 44 - 54.

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