考虑传动轴变形影响的齿轮载荷分布

分析了以往齿轮弹性强度分析中有限元模型的不足，并基于子结构分析技术建立了包含传动轴的齿轮系统三维整体有摩擦弹性接触的计算模型。用有限元参数二次规划法求解非线性部分，对齿轮系统进行有限元分析。结果表明，齿轮齿宽方向载荷分布遵循折线规律，齿廓方向载荷分布呈半椭圆分布规律，齿轮系统的轴变形对齿轮齿面偏载状态有较大影响。对于齿轮系统这种重复结构多的工程结构，子结构分析技术在解题规模和计算效率上都有其优越性。

Gear System Load Distribution along Tooth Widthand Tooth Profile Considering Displacement of Transmission Shafts

The deficiencies of the former FEM(finite element method) models of gear in the elastic analysis were summarized, and the frictional forces and the effects of transmission shafts were taken into account. The multi-branch substructure technique was employed to establish and calculate the entire 3-D frictional contact FEM model of involute cylindrical gears. The nonlinear parts of the model were solved according to the theory of quadratic programming of FEM. The load distribution along the tooth width and tooth profile was calculated. The results show that the load distribution along tooth width takes on the broken-line trend, and the load distribution along tooth profile takes on the half-ellipse trend, and that the displacement of the transmission shaft has evident effects on the contact status such as the instantaneous contact zone, load distribution, load deviation. Meanwhile, it is manifested that, with the advantages of large-scale and high efficiency, the substructure technique is suitable for the gear system composed of many homology parts.