摘要
针对目前理论不能准确计算受载齿轮啮入冲击时间的问题,提出一种基于圆柱碰撞理论与接触动力学理论的受载齿轮副啮入冲击激励计算方法,准确计算受载齿轮啮入冲击时间与冲击力。建立受载变形下的渐开线齿轮啮入冲击数学模型,应用反转法计算出线外啮合点的精确位置,基于圆柱碰撞理论求得齿对啮入冲击力。同时在所建立的啮入冲击数学模型上,准确计算冲击时间,并与现有计算方法进行对比分析。而后根据齿轮运行真实工况,对航空机匣齿轮副进行动态接触有限元分析,提取冲击时间与冲击力,并与理论进行对比。结果表明:计算模型的啮入冲击时间误差在15%以内,最大啮入冲击力误差小于10%,故该冲击激励计算方法能对冲击时间与最大啮入冲击力进行准确快速求解。
In view of the problem that the current theory can not accurately calculate the meshing impact time of loaded gear,a calculation method of meshing impact excitation of loaded gear pair based on cylindrical collision theory and contact dynamics theory was proposed to accurately calculate the meshing impact time and impact force of loaded gear.The mathematical model of meshing impact of involute gear under load and deformation was established.The exact position of the outer meshing point of the line was calculated by the inversion method,and the meshing impact force of the tooth pair was obtained based on the cylindrical collision theory.At the same time,on the basis of the established mathematical model of meshing impact,the impact time was accurately calculated and compared with the existing calculation methods.Then,according to the actual working condition of the gear,the dynamic contact finite element analysis of the gear pair of the aircraft gearbox was carried out,while the impact time and impact force were extracted,and compared with the theory.The results showed that the error of the meshing impact time of the calculation model was within 15%,and the error of the maximum meshing impact force wasless than 10%. Therefore, the impact excitation calculation method can accurately and quickly solve theimpact time and the maximum meshing impact force.
作者
王承登
何泽银
杨震
伍宏建
刘威
WANG Chengdeng;HE Zeyin;YANG Zhen;WU Hongjian;LIU Wei(School of Mechanical and Vehicle Engineering,Chongqing Jiaotong University,Chongqing 400074,China;State Key Laboratory of Mechanical Transmission,Chongqing University,Chongqing 400030,China;Technology Center,Chongqing Gearbox Company Limited,Chongqing 402263,China)
出处
《航空动力学报》
EI
CAS
CSCD
北大核心
2024年第5期234-243,共10页
Journal of Aerospace Power
基金
国家自然科学基金(52005066)
重庆市自然科学基金(cstc2021jcyj-msxmX0562)。
关键词
冲击时间
啮入冲击
线外接触
圆柱碰撞
动态接触
impact time
meshing impact
off line contact
cylindrical collision
dynamic contact
