Improved analytical models for mesh stiffness and load sharing ratio of spur gears considering structure coupling effect

Improved analytical models for mesh stiffness and load sharing ratio of spur gears considering structure coupling effect
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考虑结构耦合效应的改进正齿轮啮合刚度和均载比分析模型

DOI:
10.1016/j.ymssp.2018.03.037
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发表时间:
2018-10
影响因子:
8.4
通讯作者:
Xiong Xiaoshuang
Xiong Xiaoshuang
中科院分区:
工程技术1区
文献类型:
--
作者:
Xie Chongyang;Hua Lin;Lan Jian;Han Xinghui;Wan Xiaojin;Xiong Xiaoshuang

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由于缺乏有效的公式,双齿啮合下的圆角基础刚度长期以来一直是解析法计算直齿轮啮合刚度的一个具有挑战性的问题。直接求和各啮合齿对的啮合刚度会高估总啮合刚度,从而可能导致较大的计算误差。考虑结构耦合效应,即两个啮合齿同时共用一个齿轮体,提出一种改进的圆角基础刚度计算方法。在该方法的基础上,分析建立了网格刚度模型和载荷分配模型。在网格刚度模型中,引入圆角基础刚度修正因子,以提高计算精度。基于最小势能原理(MPEP),负载分配比率由所提出的负载分配模型确定。通过与有限元法(FEM)的比较,验证了所提出模型的准确性。
Due to the lack of efficient formulas, fillet foundation stiffness under double tooth engagement has long been a challenging problem for mesh stiffness calculation of spur gears by analytical method. Direct summation of the mesh stiffness of each meshing tooth pair overestimates the total mesh stiffness, which may lead to a large calculation error. An improved fillet foundation stiffness calculation method is proposed considering the structure coupling effect, namely, one gear body is shared by two meshing teeth simultaneously. On the basis of the proposed method, a mesh stiffness model and a load sharing model are analytically established. In the mesh stiffness model, fillet foundation stiffness correction factor is introduced to improve the calculation accuracy. Based on the minimum potential energy principle (MPEP), the load sharing ratio is determined by the proposed load sharing model. The accuracy of the proposed models is validated by comparing with finite element method (FEM).
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发表时间: 2010-05
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