为了揭示不对称齿距偏差对人字齿轮传动的影响，提出了一种不对称齿距偏差人字齿轮大周期的承载接触分析方法，得到人字齿轮副大周期的综合啮合刚度、轴向窜动量、综合啮合误差和左右侧斜齿轮副大周期的啮入冲击力。建立了不对称齿距偏差人字齿轮的动力学模型，对比了不同负载、不同转速下人字齿轮副的动态响应，分析了不对称的啮入冲击对左右侧斜齿轮副动态响应的影响。结果表明：不对称齿距偏差人字齿轮三维振动位移的频谱中，轴频成分最为明显，啮合频率及其倍频相对较小。端面振动加速度频谱中啮合频率及其倍频较为明显，且在啮合频率及其倍频两侧分布着一系列边频带。随着负载的增大，三维振动位移和三维振动加速度的频谱中，啮合频率及其倍频的幅值逐渐增大，而边频带成分的幅值逐渐减小。随着小轮转速超过共振转速，不对称的啮入冲击力对人字齿轮传动系统的三维振动加速度逐渐起主导作用，此时左右侧斜齿轮副的三维振动特性差别较明显。
Abstract
In order to reveal the influence of asymmetric pitch deviation on herringbone gear transmission, a loaded contact analysis method for large period of asymmetric pitch deviation herringbone gear was proposed. The comprehensive meshing stiffness, axial displacement, comprehensive meshing error, and meshing impact force of large period of left and right helical gear pairs were obtained. A dynamic model of asymmetric pitch deviation herringbone gear was established, and the dynamic response of the herringbone gear pair under different loads and speeds was compared. The influence of asymmetric meshing impact on the dynamic response of the left and right helical gear pairs was analyzed. The results show that in the spectrum of three-dimensional (3D) vibration displacement of asymmetric pitch deviation herringbone gear, the shaft frequency component is the most obvious, and the meshing frequency and its harmonics are relatively small. The meshing frequency and its harmonics are more prominent in the acceleration spectrum of end face vibration, and a series of sidebands are distributed on both sides of the meshing frequency and its harmonics. As the load increases, the amplitude of the meshing frequency and its harmonics in the spectrum of 3D vibration displacement and 3D vibration acceleration gradually increases, while the amplitude of the sideband components gradually decreases. As the rotational speed of the pinion exceeds the resonant speed, the asymmetric meshing impact force gradually dominates the 3D vibration acceleration of the herringbone gear transmission system, and at this time, the difference in 3D vibration characteristics between the left and right helical gear pairs is more obvious.
关键词
不对称齿距偏差 /
人字齿轮 /
大周期 /
轴向窜动量 /
三维振动特性
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Key words
asymmetric pitch deviation /
herringbone gear /
large period /
axial displacement /
three-dimensional vibration characteristics
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