摘要
为了降低齿轮副对安装误差的敏感性,将双重螺旋法加工的齿面划分为小端、中间接触区和大端3个区域,并沿啮合线方向对3个区域分别进行抛物线修形,得到修形后的理论齿面;采用有约束最小二乘法求得与修形后理论齿面逼近的修形后实际齿面;通过齿轮承载接触分析(LTCA),得到原始齿面与修形后实际齿面在有安装误差时的齿面接触区、接触应力和齿根弯曲应力。研究结果表明:经过分区修形,正、反车齿面最大接触应力降低,齿面接触应力更加均匀,齿轮副对安装误差的敏感性降低,同时,齿根弯曲应力也有一定程度增大。
To reduce the sensitivity of the gear pair to the installation error, the original tooth surface generated by duplex helical method was divided into three regions, i.e. the toe region, the middle region and the heel region. Modifications of these regions with three parabolic segments were conducted along the meshing line, and then theoretical tooth surfaces were obtained. The constraint least square method was used to minimize the tooth flank form error between the theoretical modified tooth surface and the actual modified tooth surface. Then, the contact area, the contact stress, the bending stress of tooth root of the original tooth surface and the actual modified tooth surface in the presence of installation error were obtained by loaded tooth contact analysis(LTCA). The results show that the maximum contact stress of the drive side and the coast side are both reduced by zoning modification. Meanwhile, the tooth surface contact stress is more uniform. Thus, sensitivity of installation error of gear pair is reduced and the bending stress of the root increases to a certain extent.
引文
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