使用投影几何代数对复杂组件进行功能说明

IF 3.2 3区工程技术 Q2 ENGINEERING, INDUSTRIAL

Cirp Annals-Manufacturing Technology Pub Date : 2024-01-01 DOI:10.1016/j.cirp.2024.04.059

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引用次数: 0

摘要

在几何公差中，随着几何特征的复杂相互情况的增加和复杂装配精度要求的提高，功能规范变得越来越具有挑战性。本文提出了一种情况特征集计算表示法，用于管理复杂装配的功能规范。本文引入了由点、直线和平面组成的最小三元组（称为 ToLiP）来表示情况特征。因此，可以使用投影几何代数（PGA）在数学上建立功能规范操作。通过使用粒子加速器的四极磁体进行案例研究，强调了所提方法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Functional specification of complex assemblies using projective geometric algebra

In geometric tolerancing, functional specification is becoming challenging as the complex mutual situations of geometrical features increase and the requisites for complex assembly accuracy escalate. A computational representation of sets of situation features is proposed in this paper to manage functional specification of complex assemblies. A minimum triplet set of a point, a straight line and a plane called ToLiP, is introduced to represent situation features. Functional specification operations can thus be mathematically established using projective geometric algebra (PGA). The effectiveness of the proposed approach is highlighted through a case study using quadrupole magnets of a particle accelerator.

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来源期刊

Cirp Annals-Manufacturing Technology 工程技术-工程：工业

CiteScore

7.50

自引率

9.80%

发文量

137

审稿时长

13.5 months

期刊介绍： CIRP, The International Academy for Production Engineering, was founded in 1951 to promote, by scientific research, the development of all aspects of manufacturing technology covering the optimization, control and management of processes, machines and systems. This biannual ISI cited journal contains approximately 140 refereed technical and keynote papers. Subject areas covered include: Assembly, Cutting, Design, Electro-Physical and Chemical Processes, Forming, Abrasive processes, Surfaces, Machines, Production Systems and Organizations, Precision Engineering and Metrology, Life-Cycle Engineering, Microsystems Technology (MST), Nanotechnology.