机械零件对称群分析及其在可制造性设计中的应用

发布时间：2018-01-16 10:07

本文关键词：机械零件对称群分析及其在可制造性设计中的应用　出处：《浙江大学》2012年硕士论文　论文类型：学位论文

【摘要】：对称性是包含在机械系统中的一种重要特性,而对称群理论是描述这种特性的一种重要的数学工具,本文旨在借鉴并总结图像对称群的相关规律,发现机械零件对称群的存在形式及其对零件可制造性的影响,并以此指导零件结构的设计。本文以机械零件结构可作为一种图像为研究出发点,探讨了机械零件结构的对称群描述方法,探索零件结构中对称基准的作用效果以及机械零件的对称群对可制造性的影响。在考虑机械零件的可制造性方面,通过分析零件点群与总对称角之间的联系,得出了零件点群的总对称角区间分布,并以提高零件的可装配性为设计目标,提出了考虑可装配性的零件结构对称群优化方法。通过总结各种加工工艺对零件结构的对称性要求以及对上百个零件的点群分析,考察了相关加工工艺的零件结构点群的选择特点,并论述了相应的零件结构设计方法。同时,通过对同种剪切件排样图像的分析,得出了实现无废料排样的排样单元外轮廓与排样点阵平移群之间的关系,进而指导排样的设计,减少钣料的消耗。本文将对称群理论引入机械对称性的研究是对该课题方向研究的新的尝试,对于其他领域有关机械对称性的研究也具有一定的借鉴意义,同时也可以给设计者带来一定的启发。
[Abstract]:Symmetry is an important characteristic contained in mechanical system, and symmetric group theory is an important mathematical tool to describe this characteristic. This paper aims to draw lessons from and summarize the relevant laws of image symmetry group. It is found that the existing form of symmetry group of mechanical parts and its influence on the manufacturability of parts, and thus guide the design of parts structure. This paper takes the structure of mechanical parts as a kind of image as the starting point. In this paper, the method of describing the structure of mechanical parts by symmetric group is discussed, and the effect of the symmetrical reference in the structure of the parts and the effect of the symmetry group of the mechanical parts on the manufacturability are explored. Considering the manufacturability of mechanical parts, by analyzing the relationship between point group and total symmetry angle, the distribution of total symmetric angle of point group is obtained, and the design goal is to improve the assemblability of parts. In this paper, an optimization method for structural symmetry group of parts considering assemblability is put forward. By summarizing the symmetry requirement of parts structure in various machining processes and the point group analysis of hundreds of parts. This paper investigates the characteristics of the selection of structural point groups of parts in the relevant machining processes, and discusses the corresponding design methods of the parts structure. At the same time, the layout image of the same shearing parts is analyzed. The relationship between the outside contour of the layout unit and the translation group of the layout lattice is obtained, which can guide the design of layout and reduce the consumption of sheet metal. In this paper, the introduction of symmetry group theory into the study of mechanical symmetry is a new attempt in the research direction of the subject, and also has certain reference significance for other fields of research on mechanical symmetry. At the same time, it can also bring some inspiration to designers.
【学位授予单位】：浙江大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：TH122

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