Calculation Method of Stress Concentration Factor of Surface Micro Topography in Grinding
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摘要: 针对一种磨削表面微观形貌的应力集中问题提出了一种应力集中系数的精确计算方法。通过实验观察磨削工件表面微观形貌在进给方向具有沟壑状形貌特征，采用缺口模型分析计算磨削表面微观形貌应力集中系数；提出基于二维表面轮廓数据的缺口表征参数计算方法，建立无限大平面缺口模型并采用迭代法对模型进行修正，并用有限元方法进行对比验证。针对磨削表面微观形貌的应力集中系数与缺口模型特征参数-缺口的宽度、深度和谷底半径的定量关系，提供了对应的经验公式。研究工作为磨削表面微观形貌与应力集中系数关联规律研究提供一种定量计算方法，对分析磨削工件表面微观形貌的疲劳性能具有基础作用。Abstract: The model for calculating the stress concentration factor surface micro topography in the grinding was studied. Notched model is used to calculate the stress concentration factor of surface micro topography in grinding of workpiece by observing the characteristics of gully in the feed direction; a method to calculate the characteristic parameters of the notch based on the 2D profile data is proposed, and notched model for infinite plane is established, which is modified by iteration method, and finite element method is used to verify the present method. The quantitative relationship between the stress concentration factor of surface micro topography in grinding and the characteristic parameters of notch model-width, depth and valley root radius was studied by obtaining empirical formula. The results supply a quantitative calculation method for studying the relationship between the grinding surface micro topography and the stress concentration factor, it has basic function in the analysis of fatigue performance of surface micro topography in the grinding of workpiece.
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Key words:
- grinding surface /
- micro topography /
- notch /
- stress concentration factor
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表 1 磨削表面微观形貌参数
μm 样本 Ra Ry RZ s d ρ 1 0.276 1.449 1.084 8.432 0.541 2.248 2 0.424 2.479 1.687 13.985 0.845 3.015 3 0.568 3.776 3.129 11.210 1.256 2.842 4 0.662 5.451 4.228 10.171 1.407 2.516 
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表 2 不同参数下的的应力集中系数
d Kt ρ=2 s=12 s=8 s=12 s=16 ρ=2 ρ=4 ρ=6 0.5 1.643 1.508 1.408 1.508 1.430 1.390 1 2.144 1.962 1.797 1.962 1.779 1.684 1.5 2.573 2.327 2.169 2.327 2.076 1.919 2 2.877 2.688 2.479 2.688 2.326 2.079 2.5 3.163 1 3.011 2.788 3.011 2.504 2.242 注:d, ρ, s的单位均为μm。
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