Optimization of Machine Tool Settings on Hypoid Gear Dynamics

Chia-Ching Lin, Yawen Wang, T. Lim, Weiqing Zhang
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Abstract

Hypoid gears are widely used to transmit torque on cross axis shafts in a vehicle rear axle system. The dynamic responses of these hypoid geared rotor system have a significant effect on the performance of noise, vibration, and harshness (NVH) for the vehicle design. From past studies, the main source of excitation for this vibration energy comes from hypoid gear transmission error (TE). Thus, the design of hypoid gear pair with minimization of TE is one way to control the dynamic behavior of the vehicle axle system. In this paper, an approach to obtain minimum TE and improved dynamic response with optimal machine tool setting parameters for manufacturing hypoid gears is discussed. A neural network, named Feed-Forward Back Propagation (FFBP), with Particle Swarm Optimization (PSO) and Gradient Descent (GD) training algorithms are used to predict the TE. With the optimal machine tool setting parameters, a 14 degrees of freedom geared rotor system analysis is performed to verify the improvement on dynamic response aiming at minimizing the TE. A case study of a hypoid gear pair with specified design parameters and working condition is presented to validate the proposed method. The results conclude that minimization of TE, the main excitation of vehicle axle gear whine noise and vibration, with optimal machine tool setting parameters can improve the overall dynamic response. The proposed approach provides a better understanding of an optimal design hypoid gear set to minimize TE and effect on vehicle axle system dynamics.
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准双曲面齿轮动力学的机床设置优化
准双曲面齿轮在汽车后桥系统中广泛用于传递跨轴轴上的扭矩。准双曲面齿轮传动转子系统的动态响应对车辆的噪声、振动和粗糙度(NVH)性能有重要影响。从以往的研究来看,这种振动能量的主要激励来源是准双曲面齿轮传动误差(TE)。因此,对准双曲面齿轮副进行最小化设计是控制车桥系统动力学行为的一种方法。本文讨论了加工准双曲面齿轮时,如何利用最优的机床整定参数获得最小的加工效率和改进的动态响应。采用前馈反向传播(FFBP)神经网络,结合粒子群优化(PSO)和梯度下降(GD)训练算法对TE进行预测。利用最优的机床整定参数,对14自由度齿轮传动转子系统进行了分析,验证了以最小TE为目标的动态响应改进。以给定设计参数和工况的准双曲面齿轮副为例,验证了该方法的有效性。结果表明,在优化机床整定参数的情况下,将车辆轴齿轮噪声和振动的主要激励因素TE最小化,可以改善整体动态响应。提出的方法提供了一个更好的理解一个优化设计准双曲面齿轮组,以尽量减少TE和对车辆轴系统动力学的影响。
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