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Circularity tolerance modeling, analysis, and design for high precision assemblies.

机译：高精度装配的圆度公差建模，分析和设计。

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摘要

Circular feature is one of the most common part features used in machines. Since it is practically impossible to make a part with perfect geometry, tolerances are specified to ensure the functionality of a final product while maintaining a low cost. This study presents fundamental treatments for circularity tolerance modeling, analysis, and design. First, a roundness profile model is presented. At present, the standard for geometric dimensioning and tolerancing, ASME Y14.5M, specifies a circularity tolerance based on the tolerance zones defined by two concentric circular boundaries. To represent profile variation within the tolerance zones, a harmonic roundness model using Fourier series expansions is proposed. A cutting profile simulation model has also been developed to illustrate the relationship between the radial error motion of a machine tool spindle and the resultant part profiles. The profile model has been verified statistically by a large number of real profiles produced by turning and cylindrical grinding. Second, the effect of out-of-roundness on positioning accuracy is investigated for various cylindrical fit conditions. Analytical approaches and computer simulations are used together to facilitate more extensive investigations. Systematic procedures are also proposed for assigning circularity tolerance by prescribing a fit condition and a desirable process capability of assembly. As a result, new circularity tolerance guidelines are suggested for fit conditions. Third, the study is further extended to spindle design analysis. The geometrical accuracy of a machine tool spindle has been investigated to examine the effect of circularity and concentricity tolerance on spindle running accuracy. The study is verified through real spindle design data obtained from a custom-built Purdue High Speed Spindle. Finally, an experimental study is provided to verify the simulation routines used in the analysis of positioning accuracy.
机译：圆形特征是机器中最常用的零件特征之一。由于实际上不可能制造出具有完美几何形状的零件，因此规定了公差以确保最终产品的功能性，同时保持低成本。这项研究提出了圆度公差建模，分析和设计的基本方法。首先，提出了圆度轮廓模型。当前，几何尺寸标注和公差标准ASME Y14.5M基于两个同心圆边界所定义的公差区域指定了圆度公差。为了表示公差带内的轮廓变化，提出了使用傅立叶级数展开的谐波圆度模型。还开发了一种切削轮廓仿真模型，以说明机床主轴的径向误差运动与所得零件轮廓之间的关系。轮廓模型已通过车削和外圆磨削产生的大量真实轮廓进行了统计验证。其次，研究了各种圆柱配合条件下圆度对定位精度的影响。分析方法和计算机模拟一起使用可以促进更广泛的研究。还提出了通过规定合适的条件和所需的组装过程能力来分配圆度公差的系统程序。因此，建议了适用条件的新的圆度公差准则。第三，该研究进一步扩展到主轴设计分析。已经研究了机床主轴的几何精度，以检查圆度和同心度公差对主轴运行精度的影响。通过从定制的Purdue高速主轴获得的实际主轴设计数据验证了这项研究。最后，提供了一项实验研究，以验证用于定位精度分析的仿真程序。

著录项

  • 作者

    Cho, Nam Wook.;

  • 作者单位

    Purdue University.;

  • 授予单位 Purdue University.;
  • 学科 Engineering Industrial.; Engineering Mechanical.
  • 学位 Ph.D.
  • 年度 2001
  • 页码 120 p.
  • 总页数 120
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 一般工业技术;机械、仪表工业;
  • 关键词

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