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基于扩展有限元法的齿根裂纹扩展规律 被引量:18

Tooth root crack propagation regularity based on extended finite element method
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摘要 探讨基于扩展有限元法的齿轮裂纹扩展计算方法,开展齿根初始裂纹扩展规律研究。借助Abaqus软件,分析齿根初始裂纹长度、方向和位置对裂纹扩展路径的影响规律,并与传统有限元法所得结果进行比较。研究结果表明:对于本文模型,齿根裂纹均为先朝深入轮缘的方向扩展,后朝向齿根位置扩展,总体呈现朝轮齿周向扩展至轮齿断裂的趋势;相对初始裂纹位置,其长度和方向对裂纹扩展路径的影响较小,不同长度和不同方向的初始裂纹的扩展路径没有显著差别;随着初始裂纹位置向齿顶趋近,裂纹扩展路径也整体向齿顶偏移;本文结果与传统有限元法所得结果基本一致,但仿真效率大大提高,为齿轮疲劳裂纹扩展及疲劳寿命的高效分析和精确预测提供一种新途径。 The calculation method of gear crack propagation based on extended finite element method was investigated,and studies on tooth root crack propagation regularity were carried out. The influence of length, direction and position of tooth root initial crack on crack propagation path was analyzed using Abaqus, and the results were compared with those obtained by traditional finite element method. The results show that all the cracks propagate toward the rim firstly, and then toward the tooth root, with a general trend propagating toward tooth circumferential direction until fracture happens for the model used. Compared to position of initial crack, length and direction have less influence on crack propagation path. There is no significant difference between the crack propagation trajectories of different lengths and different directions. With the location of initial tooth root crack moving toward the addendum, the crack propagation paths also remarkably move toward the addendum integrally. The results in this work are basically consistent with those obtained by traditional finite element method, but the simulation efficiency is greatly improved, providing a new approach to effective analysis and accurate prediction of gear fatigue crack propagation and fatigue life.
出处 《中南大学学报(自然科学版)》 EI CAS CSCD 北大核心 2016年第8期2668-2675,共8页 Journal of Central South University:Science and Technology
基金 国家自然科学基金资助项目(51275530 51305462 51535012)~~
关键词 齿轮 裂纹扩展 扩展有限单元法(XFEM) ABAQUS gear crack propagation extended finite element method(XFEM) Abaqus
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参考文献23

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