A Framework for Tolerance Modeling Based on Parametric Space Envelope
A Framework for Tolerance Modeling Based on Parametric Space Envelope
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DOI：
10.1115/1.4046743
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发表时间：
2020-04
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通讯作者：
Chen Luo;P. Franciosa;Zhijie Mo;D. Ceglarek
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作者：
Chen Luo;P. Franciosa;Zhijie Mo;D. Ceglarek
几何尺寸和公差(GD&T)公差标准在世界各地的工业中得到了广泛的应用。制定公差规范以实现全面公差分析的数学模型是非常可取的，但很难建立。现有的方法在这方面的成功有限，形状和轮廓公差建模是一个已知的挑战。本文提出了一种基于参数空间包络的公差建模框架和方法。参数空间包络是由基本参数曲线构造的一个特制的变异工具。在该方案中，几何变化(偏差和变形)被建模并与包络边界控制点的运动联系起来。这种间接公差建模带来了各种好处。它是通用的，可以处理根据GD&T标准规定的全套公差，包括形状公差、轮廓公差和跳动公差。该方案可以处理复杂的制造零件，并能够提供许多应用所需的建模精度。在数码制造的新时代，拟议的方法还能促进各种计算机辅助系统的集成，以满足新兴的行业对公差的需求。通过一个两部分装配的工业实例对所提方法进行了说明和验证。
Geometric dimensioning and tolerancing (GD&T) tolerance standards are widely used in industries across the world. A mathematical model to formulate tolerance specifications to enable comprehensive tolerance analysis is highly desirable but difficult to build. Existing methods have limited success on this with form and profile tolerance modeling as a known challenge. In this paper, we propose a novel tolerance modeling framework and methodology based upon parametric space envelope, a purposely built variation tool constructed from base parametric curve. Under proposal, geometric variation (deviation as well as deformation) is modeled and linked to envelope boundary control points’ movement. This indirect tolerance modeling brings various benefits. It is versatile and can handle full set of tolerances specified under GD&T standards including form, profile, and runout tolerance. The proposal can deal with complex manufacturing part and is capable of providing modeling accuracy required by many applications. The proposed approach has added advantage of facilitating integration of various computer-aided systems to meet emerging industry demands on tolerancing in a new era of digital manufacturing. The proposed methodology is illustrated and verified with an industrial case example on a two-part assembly.