误差对同轴六分支分扭人字齿轮传动系统静均载性能影响

Influence of error on static load-sharing performance of coaxial six-branch twist herringbone gear transmission system

以同轴六分支分扭人字齿轮传动系统为研究对象,依据各齿轮受力状态建立该系统的静力平衡方程。考虑到制造误差和安装误差及输入输出轮浮动导致的错位,基于当量啮合误差理论,分析误差的存在性,最后根据系统功率闭环特征建立系统变形协调方程,形成了同轴六分支人字齿轮传动系统静均载分析方法,并结合实例求出系统各齿轮之间静均载系数及分支静均载系数。研究结果表明:在无误差或各齿轮误差均相同为常值时,第Ⅰ级各齿轮静态啮合力为1.773×105N,第Ⅱ级各齿轮静态啮合力为3.673×105N,系统具有很好静均载性能,系统分支静均载系数为1,该系统构成功率闭环误差可相互抵消;制造和安装误差幅值同时作用为50μm时,求得制造误差下分支静均载系数变化幅度比安装误差下分支静均载系数要大,可知制造误差对系统静均载性能影响程度要大;分扭和并车误差幅值同时作用为50μm时,并车级比分扭级静均载性能更容易受误差的影响,因此输出构件应该有浮动量。综上所述,随制造或安装误差增大或减少,都会对系统静均载性能造成不良的影响,其研究成果可为同轴减速器传动系统制造误差和安装误差精度确定,均载系数确定提供科学依据。

The static equilibrium equation of the system is fulfilled based on the stress state of each gear with coaxial six-branch twisted herringbone gear transmission system as the research object. Considering the manufacturing error,installation error and dislocation caused by input and output wheel floating, the existence of error is analyzed based on the theory of equivalent meshing error. The system deformation coordination equation is established according to the closed characteristics of system power. The static load coefficient and branch static load coefficient of coaxial six-branch herringbone gear transmission system are obtained by examples. The results showed that when there was no error or the gear error was the same constant value, the static meshing force of the first grade gear was 1. 773×105 N and the second grade gear was 3. 673×105 N. The system has good static load-sharing performance and the system branch static load-sharing coefficient was 1, and the closed loop error of the system can be eliminated from each other.When the amplitude of manufacturing and installation error was 50 μm at the same time,the variation amplitude of branch static load coefficient under manufacturing error was larger than that under installation error,and it can be seen that the manufacturing error had a great influence on the static load performance of the system. When the amplitude of partial torsion and parallel error was 50 μm at the same time,the static load-sharing per-formance of parallel level at the two-stage transmission system was more easily affected by the error than the torsion level, so the output member should have a floating amount. To sum up,with the increase or decrease of the system error,it would have a bad effect on the static load-sharing performance of the system. The research results can provide scientific basis for the determination of manufacturing error and installation error accuracy of coaxial reducer transmission system and the de-termination of average load coefficient.