考虑扭转振动的有阻尼齿轮传动动态性能优化设计

建立了有阻尼齿轮扭转振动数字模型和动态优化数学模型，以振动加速度的均方根值最小为优化目标函数，以其中的连续参数作为设计变量，并对啮合过程中最大动载荷加以限制进行齿轮副的动态性能优化设计。实例优化结果表明，在各种转速下优化目标函数值均比常规设计要小得多，从而为齿轮传动的设计提供了一定的参考价值。

An Optimal Design of Dynamic Performance for Damped Gear Transmission with Torsion Vibration

The mathematical models of damped torsion vibration of gears and of dynamic optimal design are set up.The dynamic performance of gears which takes the root of acceleration minimum as an optimal objective function and the continuous parameters of gears as design variables with also constrained maximal dynamic loads in engagement is designed. It is demonstrated that both the dynamic load factor and root mean square values of acceleration of the optimized gears at different rotating speeds are much lower than those of gears designed by conventional methods. The dynamic performance of the gears is found to be markedly improved. Calculation shows that the optimal design method proposed can give the same results as those obtained by the optimal design taking the discrete parameters of gears as design variables. These provide reference value for design of gear transmission.