弧齿锥齿轮啮入冲击理论分析

Theoretical analysis on meshing impact of spiral bevel gears

为了改善弧齿锥齿轮的振动与噪音,基于弧齿锥齿轮啮合传动特点,应用机械动力学理论,建立考虑轮齿受载变形的弧齿锥齿轮啮入冲击数学模型,结合齿面接触分析（TCA）和承载接触分析（LTCA）分析计算初始啮合点的位置,并根据齿轮受载变形和载荷分配系数拟合出啮入点的啮合刚度;进而推导出啮入冲击,并分析了齿轮副的负载和输入转速对啮入冲击的影响.研究结果表明：齿轮副的负载和输入转速都会对啮入冲击产生较大的影响;在不发生边缘接触的情况下,随着负载的增大,初始啮入点逐渐向主动轮齿根移动,冲击速度逐渐增大,啮入冲击也逐渐增大;输入转速的增大会直接增大冲击速度,进而使得啮入冲击增大;与负载相比,转速对啮入冲击的影响更大.

To reduce the vibration and noise of spiral bevel gear transmission system,the meshing impact model of spiral bevel gear considering tooth deformation is built based on the meshing characteristic of spiral bevel gears and machinery dynamics.Based on tooth contact analysis（TCA） and loaded tooth contact analysis（LTCA）,the position and meshing stiffness of the initial meshing point are calculated,and the meshing impact is also worked out.The influences of rotational speed and load torque on the meshing impact are also analyzed.The research shows that both load torque and rotational speed have significant influences on the meshing impact.Under the condition of no edge contact,with the increase of load torque,the initial meshing point moves gradually to the active tooth root,and the impact velocity increases gradually,which leads to the increase of the meshing impact.The increase of the input rotational speed will increase the impact speed directly,and then increase the meshing impact.The influence of the rotational speed on the impact force is larger than the load torque.