直齿轮减振修形优化设计
Optimal Design of Modified Spur Gears Based on Minimum Vibration

为了提高齿轮副实际齿面啮合性能，设计齿廓修形曲面，与理论齿面叠加构造了直齿轮实际修形齿面，结合TCA、LTCA技术，建立考虑啮入冲击、刚度激励的直齿轮弯扭耦合的多齿对振动模型，以传动误差幅值、啮合冲击、啮合线向相对加速度均方根最小进行多目标优化，设计了最佳修形齿面。研究表明：无修形齿轮的传动误差幅值随载荷增加而增大，修形后随载荷增加重合度逐渐增大，幅值会产生波动，然后保持稳定，修形后直齿轮啮入啮出端载荷明显降低，因此啮合冲击降低；该方法确定的齿轮修形参数精确、有效，能大幅度减小齿轮的振动。
An approach based on the minimum amplitude of loaded transmission error, meshing impact force and acceleration of vibration of drive spur gears was proposed to improve meshing performances. The real modified tooth surface was represented by a sum of two vector functions that determine the theoretical tooth surface, and a dynamic model of spur gears was built according to the TCA and LTCA, and the genetic algorithm was used to optimize the parameters of the best deviation surface. The results show that the loaded transmission error is a lin-ear increase in amplitude with the increasing load on theoretical tooth gears; however, its amplitude comes into fluctuations and finally tends to be stable due to increasing contact ratio with increasing load on modified gears; besides, the impact on gear meshing can be avoided with modified gears, which contribute to the reduction of vi-bration greatly