基于自由度变动的直线度公差数学模型  

Mathematical model for straightness based on DOF variation

作　　者：刘玉生[1] 

机构地区：[1]浙江大学CAD&CG国家重点实验室,浙江杭州310027

出　　处：《工程设计学报》2002年第1期27-30,共4页Chinese Journal of Engineering Design

摘　　要：在现有 CAD系统中 ,公差仅是一种符号 ,而缺乏具体的工程语义 ,因而不能很好地为下游工作所使用 .结合运用自由度和变动理论 ,先给出了直线基于自由度变动的数学表示方法 .系统地分析了直线度公差建模的约束限制条件 ,推导了不同条件下直线度公差的数学模型 .运用该数学模型 ,可以准确地表示公差语义 ,并且为下游工作如公差分析、公差验证所使用 .In most current CAD systems, tolerance is just a text attribute of corresponding object. It isn't effective for integration of CAD/CAM. How to represent and interpretation of tolerance is very necessary for CAD system. A new method based on DOF variation is purposed for straightness. The mathematical representation of straight line is given based on DOF variation. The limitation condition for modeling of straightness is analyzed systematically. The mathematical models of straightness of different conditions are deduced systematically which give a new interpretation for straightness. By using this model, the semantics of tolerance is exactly represented and can be used by the following processing such as tolerance analysis and tolerance verification.

关 键 词：直线度 自由度变动 数学模型 CAD CAM 公 计算机辅助公差设计 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术] TG801[自动化与计算机技术—计算机科学与技术]