摘要
针对大重合度直齿轮啮合齿数与普通直齿轮间的差异性变化,以一对大重合度直齿轮和普通直齿轮为研究对象,通过有限元法求解齿轮时变啮合刚度,建立大重合度直齿轮啮合耦合型动力学模型,利用Newmark-β时域积分求解齿轮系统动态响应,对其进行时频域分析并与普通直齿轮进行对比,获得了大重合度直齿轮在不同转速、误差影响下的动载系数变化规律。结果表明,大重合度直齿轮啮合刚度与普通齿轮有较大差异,其动态响应结果波动幅值较普通直齿轮有明显降低,提升了系统稳定性;大重合度直齿轮动载系数与普通直齿轮相比有明显下降,并且随着转速的升高和误差的增大出现不同程度的增加,其中在共振转速区域范围内增幅明显。
Aiming at the differential change between the number of meshing teeth of high contact ratio spur gears and ordinary spur gears,a pair of high contact ratio spur gears and ordinary spur gears are studied,through the finite element method to solve the time-varying mesh stiffness of the gears,the establishment of high contact ratio spur gears mesh-coupled dynamics model,the use of the Newmark-βtime-domain integral to solve the dynamic response of the gear system,the time-frequency domain analysis and comparison with the ordinary spur gears,to get the dynamic load coefficient change rule of high contact ratio spur gears under the influence of different rotational speeds and errors.The results show that the high contact ratio spur gear meshing stiffness and ordinary gears have a big difference,its dynamic response results in fluctuation amplitude compared with ordinary spur gears have significantly reduced,improve the stability of the system;the dynamic load coefficient of the high contact ratio spur gears decreases significantly compared with that of the ordinary spur gears and increases to a different extent with the rise of the rotational speed and the increase of the error,of which the increase is obvious in the resonance rotational speed range.
作者
尚俊
章翔峰
周建星
王海伟
刘义
SHANG Jun;ZHANG Xiangfeng;ZHOU Jianxing;WANG Haiwei;LIU Yi(School of Mechanical Engineering,Xinjiang University,Urumqi 830017,China;Shaanxi Engineering Laboratory for Transmissions and Controls,Northwestern Polytechnical University,Xi′an 710072,China;不详)
出处
《组合机床与自动化加工技术》
北大核心
2024年第9期76-80,85,共6页
Modular Machine Tool & Automatic Manufacturing Technique
基金
新疆维吾尔自治区自然科学基金项目(2021D01C050)
新疆维吾尔自治区重点研发项目(2022B01017-1)
陕西省重点研发计划项目(2021ZDLGY12-03)。
关键词
大重合度直齿轮
时变啮合刚度
动态特性
动载系数
high contact ratio spur gears
time-varying meshing stiffness
dynamic characteristics
dynamic load factor
