非正交斜齿面齿轮弯曲强度计算方法研究

Research of the Calculation Method of Bending Strength of Non-orthogonal Helical Face Gear

关于面齿轮弯曲强度计算尚未见到解析计算方法与公式的相关文献。为此,基于齿面接触分析原理,推导弯曲力臂长度计算公式,参考锥齿轮弯曲强度计算标准(ISO 10300(3):2014),提出非正交斜齿面齿轮齿根弯曲强度解析计算方法。以某一参数面齿轮传动副为例,利用Abaqus有限元软件进行齿根弯曲强度计算,提取非正交斜齿面齿轮齿根弯曲应力值,将有限元结果与解析计算的结果进行对比,两者误差为8.5%左右,表明提出的非正交斜齿面齿轮齿根弯曲应力计算方法正确可行。研究工作解决了面齿轮弯曲强度计算尚无解析计算公式问题,在进一步细化完善后,有望形成基础的面齿轮弯曲强度设计计算公式。

There is no analytical calculation method and formula for the calculation of the bending strength of the face gear.For this reason,based on the principle of tooth surface contact analysis,the formula for calculating the length of the bending arm is derived,reference the calculation standard(ISO 10300(3):2014)of bevel gear bending strength,an analytical calculation method for the root bending strength of non-orthogonal helical face gear is proposed.Taking a parameter face gear transmission pair as an example,the Abaqus finite element software is used to calculate the root bending strength,and the root bending stress value of the non-orthogonal helical face gear is extracted.The finite element results are compared with the analytical calculation results,the error is about 8.5%.The results show that the calculation method of the calculation method of the root bending stress of non-orthogonal helical face gears is correct and feasible.The problem that the calculation of the bending strength of the face gear has no analytical formula is solved.After refinement and perfection,it is expected to form a basiccalculation formula forthe bending strength design oftheface gear.