A Survey of Mathematical Methods for the Construction of Geometric Tolerance Zones
A Survey of Mathematical Methods for the Construction of Geometric Tolerance Zones
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DOI：
10.1115/1.1572519
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发表时间：
2003-03
期刊：
影响因子：
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通讯作者：
T. Pasupathy;E. Morse;R. Wilhelm
中科院分区：
文献类型：
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作者：
T. Pasupathy;E. Morse;R. Wilhelm
任何零件的物理实现总是产生不完美的形式，相对于工程设计中规定的理想几何形状。为了描述和保持设计的功能要求，允许的变化是通过公差带使用现代几何公差规定的。使用几何公差的规范旨在进行明确的沟通。为了降低成本和提高效率，在制造企业中应用计算机器需要数学上明确的规范。已经开发了几种基于计算机的工具，以帮助公差规范以及后续处理，或利用公差规范信息的应用，例如分析，合成，制造和测量。为了执行这些活动，公差带必须由计算机程序明确捕获。形位公差的规定是复杂的，并不是完全没有歧义的。这些困难构成了实现公差带的挑战，并限制了迄今为止开发的任何特定方法的适用性。本文综述了目前基于计算机的零件公差带获取方法。的方法的局限性进行了分析的基础上，以下标准：适用范围，与标准的兼容性，易于实现和奇异性的形状，是应用特定的影响。各种装配分析技术，利用公差带建设和其他最近的公差设计方法也有报道。
The physical realization of any part always yields imperfect forms with respect to the ideal geometry specified in the engineering design. To describe and preserve functional requirements of design, the allowable variation is specified using modern geometric tolerances via tolerance zones. Specification using geometric tolerances is intended for unambiguous communication. Mathematically unambiguous specification is required for the application of computing machinery across manufacturing enterprises to lower costs and improve efficiency. Several computer-based tools have been developed to aid in tolerance specification and also in subsequent processing, or applications that utilize tolerance specification information, such as analysis, synthesis, manufacture and measurement. In order to execute these activities, the tolerance zones have to be unambiguously captured by computer programs. The geometric tolerance specification is complex and not completely free of ambiguities. These difficulties pose as challenges in realizing the tolerance zones and limit the applicability of any particular method developed so far. This paper presents a survey of the current computer based methods available to capture tolerance zones of parts. The limitations of the methods are analyzed based on the following criteria: the range of applicability, compatibility with standards, ease in realization and the effects of singularities in shapes that are application specific. Various assembly analysis techniques that utilize the tolerance zone construction and other recent approaches for tolerance design are also reported.