Finite Element Analysis of High Contact Ratio Spur Gears in Mesh
Finite Element Analysis of High Contact Ratio Spur Gears in Mesh
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DOI：
10.1115/1.1843154
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发表时间：
2005-07
影响因子：
2.5
通讯作者：
Jiande Wang;I. Howard
中科院分区：
文献类型：
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作者：
Jiande Wang;I. Howard
事实证明，高重合度齿轮在降低齿根和接触应力方面具有显着优势，并具有增加承载能力的潜在流动优势。先前对高重合度齿轮的研究涉及分析、数值和实验方面。由于多种因素，许多早期使用 FEA 的数值工作的实用性受到限制； (i) 预测在啮合中同时覆盖两个或三个齿的滚转角上的负载共享的困难，(ii) 在对赫兹接触变形与弯曲、剪切和角变形同时建模时，分析获得质量结果的困难，以及 (iii) 应用（长）轮廓修改时的主要无约束主体运动问题。本文介绍了通过最近的计算机硬件和软件改进来克服这些困难的方法和结果。讨论的具体进展包括在啮合中使用高接触比齿轮的有限元分析以及使用自适应啮合时获得的结果。还给出了完整啮合周期内针对各种输入载荷的传动误差、组合扭转啮合刚度、载荷分配比、接触应力和齿根应力的详细信息。给出了各种齿形修改的结果，并且结果之间的比较显示了预期获得 HCRG 最大效益的最佳齿形修改的证据。
High contact ratio gears have been demonstrated to provide significant advantages for decreasing tooth root and contact stresses with potential flow-on benefits for increased load carrying capacity. Previous investigations with high contact ratio gears have involved analytical, numerical and experimental aspects. Much of the earlier numerical work using FEA was limited in its usefulness due to several factors; (i) the difficulty in predicting load sharing over roll angles covering two or three teeth simultaneously in mesh, (ii) the difficulty for the analysis to obtain quality results when modelling Hertzian contact deflection simultaneously with the bending, shear and angular deflections, and (iii) the problem of primary unconstrained body motion when (long) profile modifications were applied. This paper presents methods and results for overcoming these difficulties with recent computer hardware and software improvements. Particular developments discussed include the use of FE analysis of High Contact Ratio Gears in mesh and the results obtained when adaptive meshing is used. The details of transmission error, combined torsional mesh stiffness, load-sharing ratio, contact stress and tooth root stress against various input loads over a complete mesh cycle are also given. Results with various tooth profile modifications are presented and comparisons between the results show evidence for the optimal profile modification expected to gain the maximum benefit of HCRG.