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A review of two models for tolerance analysis of an assembly: Jacobian and torsor

机译：回顾了两种用于装配体公差分析的模型：雅可比模型和扭转模型

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摘要

The dimensional and geometrical variations of each part of an assembly have to be limited by tolerances able to ensure both a standardised production and a certain level of quality, which is defined by satisfying functional requirements. The appropriate allocation of tolerances among the different parts of an assembly is the fundamental tool to ensure assemblies that work correctly at lower costs. Therefore, there is a strong need to develop a tolerance analysis to satisfy the requirements of the assembly by the tolerances imposed on the single parts. This tool has to be based on a mathematical model able to evaluate the cumulative effect of the single tolerances. Actually there are some different models used or proposed by the literature to make the tolerance analysis of an assembly constituted by rigid parts, but none of them is completely and univocally accepted. Some authors focus their attention on the solution of single problems found in these models or in their practical application in computer-aided tolerancing systems. But none of them has done an objective and complete comparison among them, analysing the advantages and the weakness and furnishing a criterion for their choice and application. This paper briefly introduces two of the main models for tolerance analysis, the Jacobian and the torsor. These models are briefly described and then compared showing their analogies and differences. The evolution of these two models, known as unified Jacobian-torsor model, is presented too.View full textDownload full textKeywordstolerance analysis, Jacobian model, torsor modelRelated var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/0951192X.2010.531286
机译：组件各部分的尺寸和几何变化必须受到公差的限制，这些公差既要确保标准化的生产又要达到一定的质量水平，这是通过满足功能要求来定义的。在组件的不同部分之间适当地分配公差是确保组件以较低成本正确工作的基本工具。因此，迫切需要开发公差分析，以通过施加在单个零件上的公差来满足组件的要求。该工具必须基于能够评估单个公差的累积影响的数学模型。实际上，文献中使用或提出了一些不同的模型来对由刚性零件组成的装配体进行公差分析，但是没有一个模型被完全和唯一地接受。一些作者将注意力集中在解决这些模型中的单个问题或将其实际应用到计算机辅助公差系统中。但是，它们之中没有一个经过客观，完整的比较，没有分析其优缺点，也没有为其选择和应用提供标准。本文简要介绍了两个主要的公差分析模型，即雅可比模型和转矩模型。简要描述这些模型，然后进行比较以显示它们的类比和差异。还介绍了这两个模型的演变，称为统一的Jacobian-torsor模型。查看全文下载全文关键字容忍度分析，Jacobian模型，tororor模型，twitter，technorati，可口，linkedin，facebook，stumbleupon，digg，google，更多”，发布号：“ ra-4dff56cd6bb1830b”};添加到候选列表链接永久链接http://dx.doi.org/10.1080/0951192X.2010.531286

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