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为了给弧线齿面齿轮的齿面接触强度和齿根弯曲强度设计提供理论依据,研究了弧线齿面齿轮的齿面接触应力和齿根弯曲应力随载荷和安装误差的变化规律.在齿面接触分析和承载接触分析的基础上应用弹性理论计算了弧线齿面齿轮副的齿面接触应力和应用有限元应力影响矩阵法计算了该齿轮副的齿根弯曲应力.给出了数字计算实例,计算结果表明:齿面接触强度和齿根弯曲强度在重载时的接触强度和弯曲强度由单齿啮合区的强度决定,轴向安装误差和轴夹角安装误差分别会增加齿面接触应力和齿根弯曲应力,轴夹角安装误差和轴间距安装误差对齿面接触应力影响甚小,而轴向安装误差和轴间距安装误差可以降低齿根弯曲应力,与直齿面齿轮相比,弧线齿面齿轮的接触和弯曲应力明显减小.
In order to provide a theoretical basis for designing the contact strength of tooth surface and the bending strength of tooth root, the contact stress of tooth surface and the variation law of tooth root bending stress with load and installation error were studied. On the basis of surface contact analysis and bearing contact analysis, the tooth surface contact stress of arc tooth gear pair was calculated by using elastic theory and the root bending stress of gear pair was calculated by finite element stress influence matrix method. The numerical calculation The calculation results show that the contact strength and flexural strength of tooth surface and root flexural strength under heavy load are determined by the strength of single-tooth meshing area. The installation error of axial direction and the installation error of shaft included angle will increase the tooth surface contact Stress and tooth root bending stress, the installation angle of the shaft angle and the installation error of the shaft spacing have little effect on the contact stress of the tooth face. However, the axial installation error and the installation error of the shaft spacing can reduce the root bending stress. Compared with the straight face gear , The arc tooth surface gear contact and bending stress is significantly reduced.