A mathematical model of symmetry based on mathematical definition

作     者：刘玉生 杨将新 吴昭同 高曙明 

作者机构：StateKeyLaboratoryofCAD&CGZhejiangUniversityHartgzhou310027China InstituteofProductionEngineeringZhejiangUniversityHangzhou310027China 

出 版 物：《Journal of Zhejiang University Science》 (浙江大学学报（自然科学英文版）)

年 卷 期：2002年第3卷第1期

页      码：24-29页

摘      要：Tolerance is imperative for seamless integration of CAD/CAM(Computer Aided Disignd/Computer Aided Manufacture) which is just a text attribute and has no semantics in present CAD systems. There are many tolerance types, the relations between which are very complicated. In addition, the different principles of tolerance make study of tolerance difficult; and there may be various meanings or interpretation for the same type of tolerance beeanse of the literal definition. In this work, latest unambiguous mathematical definition was applied to study, explain and clarify: ( 1 ) the formation and representation of tolerance zone, and (2) the formation and representation of variational elements ; after which, the mathematical models of syrmmetry of different tolerance principles and different interpretations were derived. An example is given to illustrate the application of these models in tolerance analysis.

主 题 词：CAD/CAM 计算机辅助设计 数学模型 对称公差 工艺设计 

学科分类：1305[艺术学-设计学类] 13[艺术学] 08[工学] 080203[080203] 081304[081304] 0802[工学-机械学] 0813[工学-化工与制药类] 080201[080201] 

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