准双曲面齿轮LTCA弯曲变形约束方法

针对现有准双曲面齿轮加载接触分析（LTCA）受载后得到的弯曲变形中包含由于柔性引起的变形和加载点与轮坯之间剪切变形的问题，提出了轮齿有限元模型约束方法用于消除柔性引起的变形和剪切变形。该约束方法在原有约束方法的基础上引入了约束轮坯内圈和轮齿中间平面的有限元模型，并给出了该约束方法对应的齿面法向柔度矩阵的计算过程。为验证该约束方法的正确性，将原约束方法、该约束方法及实验结果进行对比。结果表明:约束方法主要影响齿面加载接触印迹的范围，最大载荷时原有约束方法加载接触印迹到达齿面小端，而该约束方法的加载接触印迹在最大载荷时距离小端仍有3~4mm与实验结果吻合更好。 

Constraint method of calculating tooth bending deformation of hypoid gears in LTCA

Given that the bending deformation obtained from loaded tooth contact analysis (LTCA) of spiral bevel and hypoid gears contains deformations due to flexibility and shearing deformations, a constraint method of the tooth finite element model used in LTCA was proposed. This constraint method added a finite element model which fixed the nodes in the center of the tooth and the inner circle on the basis of the original constraint method. The process to obtain the normal flexibility matrix of tooth surface was also proposed. To verify the correctness of this constraint method, LTCA was conducted using this constraint method and the original one. Load contact experiment was conducted at the same time. Result showed that the constraint method mainly affected the loaded contact pattern. The loaded contact pattern obtained by the original constraint method reached the toe of the tooth under the maximum torque, while there was still 3-4mm away from the toe of the loaded contact pattern obtained by this constraint method. The loaded contact pattern obtained from this constraint method was in agreement better with the experiment.