摘要
弧齿锥齿轮时变啮合刚度传统计算方法大多采用有限元静态分析方法,但需计算多次,且采用节点弹性变形平均值计算的单齿啮合刚度存在较大误差。为此,改进了弧齿锥齿轮时变啮合刚度计算方法,在传统计算方法上引入单个节点啮合刚度,将工作齿面各个节点啮合刚度叠加,得到单齿啮合刚度,计算精度更高;基于有限元显式动态分析计算弧齿锥齿轮时变啮合刚度和传动误差,计算1次而不需要进行多次有限元分析,减少了整个计算时间周期。研究了不同负载转矩下时变啮合刚度和传动误差变化规律,分析了接触椭圆长轴长度、接触轨迹方向两个接触参数对时变啮合刚度和传动误差的影响。研究结果表明,时变啮合刚度和传动误差随负载转矩增大而增大,但时变啮合刚度峰-峰值和传动误差峰-峰值(PPTE)随负载转矩增大而变小;随着接触椭圆长轴长度增大,时变啮合刚度和传动误差呈增大趋势;随着接触轨迹方向增大,时变啮合刚度存在突增现象,而传动误差变化很小。
The traditional method of calculating time-varying meshing stiffness of spiral bevel gears most ly adopted finite element static analysis method,but it needed to be calculated many times,also the single tooth meshing stiffness calculated by the mean value of the node elastic deformation has a large error.For this reason,a calculation method for time-varying meshing stiffness of spiral bevel gear is improved.The meshing stiffness of single node was introduced into the traditional calculation method,and the meshing stiffness of each node on the working tooth surface is superimposed to obtain single tooth meshing stiffness,the calculation accuracy is higher.The time-varying meshing stiffness and transmission error of spiral bevel gears are calculated based on explicit dynamic finite element analysis.The calculation time period is reduced by calculating once without re peating multiple finite element analysis.The variation law of time-varying meshing stiffness and transmission er ror under different load torques is researched.Also the influence of two contact parameters such as contact el lipse axis length and contact path direction on time-varying meshing stiffness and transmission error are ana lyzed.The research results show that the time-varying meshing stiffness and transmission error increase with the increase of load torque,but the peak-to-peak value of time-varying meshing stiffness and transmission error de crease with the increase of load torque.The time-varying meshing stiffness and the peak-to-peak value of trans mission error(PPTE)are improved with the increase of contact ellipse long axis length.As the contact path in crease,the time-varying meshing stiffness has a sudden increase,and the transmission error changes little.
作者
廖平
魏静
张爱强
张卫青
Liao Ping;Wei Jing;Zhang Aiqiang;Zhang Weiqing(State Key Laboratory of Mechanical Transmission,Chongqing University,Chongqing 400044,China;Key Laboratory of Advanced Manufacturing Technology for Automobile Parts of Ministry of Education,Chongqing University of Technology,Chongqing 400054,China)
出处
《机械传动》
北大核心
2019年第12期50-56,共7页
Journal of Mechanical Transmission
基金
国家自然科学基金(51775058)
陆航装备预先研究项目(30103050301)
关键词
弧齿锥齿轮
时变啮合刚度
传动误差
接触椭圆长轴长度
接触轨迹方向
Spiral bevel gear
Time-varying meshing stiffness
Transmission error
Contact ellipse long axis length
Contact path direction
