Localised tooth contact analysis of single envelope worm gears with assembly errors
Localised tooth contact analysis of single envelope worm gears with assembly errors
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DOI：
10.1007/s00170-013-4821-4
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发表时间：
2013-02
期刊：
影响因子：
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通讯作者：
A. Falah;M. Alfares;A. Elkholy
中科院分区：
文献类型：
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作者：
A. Falah;M. Alfares;A. Elkholy
本文介绍了加载齿面接触分析的基础，并预测了啮合循环中装配误差对单面包络(圆柱)蜗杆传动局部接触应力分布的影响。建立了这类齿轮副的载荷接触分析、几何和运动学分析方法。该方法考虑了弯曲、剪切、基础、齿面接触变形以及装配误差引起的初始齿形分离引起的齿面复合变形的影响。该方法包括确定接触线、载荷和装配误差引起的应力分布。由于蜗轮轮齿的几何形状复杂，因此采用作者早期开发的切片技术来计算轮齿的弯曲刚度。接触应力和变形的计算采用经典赫兹理论。编制了基于该方法的计算机程序，研究了误差对配合齿接触的影响。结果表明，在有装配误差的加载齿轮中，啮合刚度和误差量是控制齿轮装配误差的主要因素，而啮合刚度和误差量与相邻齿对之间的载荷分担有关。最后给出了一个数值算例，进一步说明了该方法的可行性。
This paper presents the basis of loaded tooth contact analysis and predicts the influence of assembly errors on localised contact stress distribution in single enveloping (cylindrical) worm gearing during a meshing cycle. A method for loaded tooth contact analysis, geometry and kinematics of such gear pairs is developed. The method accounts for the effects of tooth composite deflection caused by bending, shearing, foundation, tooth contact deformation and initial profile separation due to assembly errors. The method includes the determination of contact lines, load and stress distribution due to assembly errors. Because of the complex geometry of worm gear teeth, the tooth bending stiffness is calculated using the slicing technique developed earlier by the authors. Classical Hertz theory is used for calculating contact stress and deformation. A computer program based on the presented method has been developed and used to study the influence of errors on mating teeth contact. It is shown that the governing factors in loaded gears with assembly error are the mesh stiffness and the amount of error which is linked to load sharing between adjacent tooth pairs. A numerical example is presented to further clarify the outlined method.