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对于引起轮齿破坏的主要因素之一——齿根园角区域过大的弯曲应力,以往机械零件采用的是简化强度计算公式,它只考虑到危险截面上的弯曲正应力,并不计及剪应力等因素的影响。为了给齿轮园角区域的最大弯曲应力及齿面应力分布提供比较精确的理论数据,本文用弹性力学有限单元法计算了渐开线标准直齿园柱齿轮一个轮齿各点的应力,特别是齿根园角区域的弯曲应力,绘制了轮齿表面的等应力曲线,并将计算结果与ISO的齿根弯曲强度计算方法和А·В·Верховский方法作了比较。 本文采用平面六结点三角形元分块直接解程序,考虑到轮齿对称的特点,我们利用对称性和反对称性,改进了现有的算法,其结果既提高了解的精度又显著地节省了计算机的解算时间和存储单元。 还要指出源程序既可以用于对称的又可以用于非对称的平面问题的计算。采用的是DJS——6机ALGOL语言。
For one of the main factors that cause gear tooth damage - too much bending stress in the tooth root corner area, the mechanical components used in the past are simplified strength calculation formula, it only takes into account the bending of the dangerous section of the normal stress, and does not take into account the shear Stress and other factors. In order to provide more accurate theoretical data for the maximum bending stress and tooth surface stress distribution in the corner zone of gear, the stress of one point of involute standard spur gears is calculated by the finite element method of elastic mechanics, especially Tooth root corner area of the bending stress, draw the surface of the gear tooth surface isostrain curve, and the calculation results and ISO root bending strength calculation method and А · В В В Врроовский method were compared. In this paper, we use the planar six-node triangle element-block to solve the problem directly. Taking into account the symmetry of teeth, we use the symmetry and anti-symmetry to improve the existing algorithm. The result is not only improved the accuracy of the solution but also significantly saved Computer’s solution time and storage unit. Also pointed out that the source can be used both for symmetry can also be used for the calculation of non-symmetric plane problems. DJS - 6 machine ALGOL language is used.