转速和不平衡质量对齿轮拍击振动的影响

在考虑转速波动、不平衡质量及齿侧间隙等因素的情况下,建立了单级齿轮系统的拍击振动模型,其动力学方程式表示了一个多维映射系统。数值仿真结果表明,齿轮拍击振动时,在不同的激励因素及激励幅值下,将表现出不同的拍击特征,如:1周期、多周期及准周期拍击特征;转速波动引起的拍击振动规律不同于不平衡质量引起的拍击振动规律;其共同激励引起的拍击规律不同于这两个因素分别激励所引起的拍击振动的叠加;因此,必须同时考虑这两个因素对齿轮系统拍击振动的影响,才能较正确地揭示该系统的拍击振动特性。 

The Influence of Speed and Mass Unbalance on Dynamic Characteristics of a Gear-Rattling System

The rattling model of a one stage gear system was established,in which mass unbalance,speed fluctuation of driving shaft and backlash of the gear pair were considered.Its governing equations represent a mapping system.By means of numerical simulation,three rattling conditions were researched:(1) speed fluctuation exists only;(2) mass unbalance exists only;(3) both coexist.According to the calculation results,at different inspiring factors and amplitudes,there are different rattling dynamic characteristics,for example,one period,multiple period and quasi period.The rattling resulting from speed fluctuation is different from that resulting from mass unbalance.The rattling characteristics resulting from both simultaneously are different fro-m overlapped characteristics resulting from both individually.It is more reasonable that the factors of speed and mass unbalance are taken together to investigate the rattling dynamics of a gear system.