摘要
少齿数非对称斜齿轮作为一种新形齿轮,其体积小且承载能力强,而对其动力学特性尤其瞬时法向相对速度造成弹性接触冲击对齿轮传动系统的稳定性的影响研究较少。以弹性体接触-冲击动力学方程为基础,建立少齿数非对称斜齿轮有限元动态接触模型。在考虑摩擦和阻尼等影响的情况下,对动态齿根弯曲应力和动态传动误差进行研究。描述轮齿在一个啮合周期内的动态齿根弯曲应力的分布规律,对比斜齿轮副整个啮合过程的静动态齿根弯曲应力,同时还分析工况参数对齿根弯曲强度的影响。研究由于主从动轮接触点的瞬时法向相对速度差造成的弹性接触冲击,以少齿数非对称斜齿轮副的瞬时冲击过程为研究对象,分析不同转速时,不同的冲击位置(齿根、节圆和齿顶)对冲击力、冲击应力和冲击时间的影响,对比分析不同压力角的少齿数齿轮冲击应力的变化规律。
The asymmetric helical gear with a small number of teeth as a new type gear has the advantages of small volume and strong bearing capacity,but the analysis of its dynamic characteristics especially research on the influence of elastic contact impact on the stability of gear transmission system caused by instantaneous normal relative velocity is less. Based on contact- impact dynamics equations,the finite element dynamic contact model of asymmetric helical gear with a small number of teeth is built,the dynamic tooth root bending stress and the dynamic transmission error are investigated under the condition of considering the effects of friction and damping,etc. The dynamic distribution of tooth root in a meshing period of the bending stress is described. The static and dynamic bending stress of tooth root in the whole meshing process of the helical gear pair is compared,and the influence of operating parameters on the bending strength is analyzed. Due to the elastic impact caused by instantaneous normal relative speed difference of gear contact point is analyzed. Taking the instantaneous impact process of the asymmetric helical gear pair with a small number of teeth as the research object,the different impact position( tooth root,the pitch circle and tooth top) on impact force,impact stress and impact time under different speed are analyzed,and the impact stress of asymmetric helical gear and symmetric helical gear are analyzed and compared.
出处
《机械传动》
CSCD
北大核心
2017年第3期120-128,共9页
Journal of Mechanical Transmission
基金
江苏省自然科学基金(BK2013168)
江阴职业技术学院课题(15-E-JS-26)
关键词
少齿数
非对称齿轮
动态特性
传动误差
冲击动力学
弹性体
Small number of teeth
Asymmetric gear
Dynamic characteristic
Transmission error
Impact dynamics
Elastomer