螺旋锥齿轮传动系统啮合错位分析方法

Analysis method for meshing misalignment of spiral bevel gear transmission system

准确分析载荷作用下螺旋锥齿轮传动系统啮合错位情况是进行齿轮齿形优化设计的基础。当传动轴结构复杂时采用梁单元模型求解轴的变形差异较大,会导致齿轮副啮合错位分析不准确,针对这一问题,文章提出一种基于实体有限元法的分步螺旋锥齿轮传动系统啮合错位分析方法。首先,建立传动轴实体有限元模型,并将轴承刚度耦合于传动轴上;其次,在齿轮轴上施加等效齿轮副啮合力分析轴变形情况;再次,结合主被动齿轮轴的变形情况分析齿轮副的啮合错位量;最后,考虑齿轮副的啮合错位状态构建轮齿的加载接触分析有限元模型,分析齿轮副的啮合印痕偏移及传动误差变化情况。将该方法与构建的包含齿轮、轴和轴承的传动系统全有限元分析模型进行了对比,表明采用该方法分析得到的齿轮副啮合错位状态与全有限元模型十分吻合、分析效率显著提升。

Accurate analysis of the meshing misalignment of the spiral bevel gear transmission system under load is the basis for the optimal design of the gear tooth profile.When the transmission shaft structure is complex,the beam element model is used to solve the large deformation difference of the shaft,which will lead to an inaccurate analysis of the meshing misalignment of the gear pair.In order to solve this problem,this paper proposes a meshing misalignment analysis method for the step-by-step spiral bevel gear transmission system based on the solid finite element method.Firstly,the finite element model of the transmission shaft is established,and the bearing stiffness is coupled to the transmission shaft.Secondly,apply the equivalent gear pair meshing force on the gear shaft to analyze the shaft deformation.Then,combined with the deformation of the active and passive gear shafts,the meshing misalignment of the gear pair is analyzed.Finally,considering the meshing misalignment state of the gear pair,the finite element model of the loading contact analysis of the gear teeth is constructed,and the meshing mark offset and transmission error change of the gear pair are analyzed.The method is compared with the full finite element analysis model of the transmission system,including gears,shafts,and bearings.It shows that the meshing misalignment state of the gear pair analyzed by this method is in good agreement with the full finite element model,and the analysis efficiency is significantly improved.