Tolerance is essential for integration of CAD and CAM. Unfortunately, the meaning of tolerances in the national standard is expressed in graphical and language forms and is not adaptable for expression, processing and...Tolerance is essential for integration of CAD and CAM. Unfortunately, the meaning of tolerances in the national standard is expressed in graphical and language forms and is not adaptable for expression, processing and data transferring with computers. How to interpret its semantics is becoming a focus of relevant studies. This work based on the mathematical definition of form tolerance in ANSI Y 14.5.1 M-1994, established the mathematical model of form tolerance for cylindrical feature. First, each tolerance in the national standard was established by vector equation. Then on the foundation of toler-ance's mathematical definition theory, each tolerance zone's mathematical model was established by inequality based on degrees of feature. At last the variance area of each tolerance zone is derived. This model can interpret the semantics of form tolerance exactly and completely.展开更多
在ANSI Y 14.5.1M-1994的定向公差数学定义的基础上,提出隐含基准的概念,采用点集的形式用矢量方程严格定义国标中各定向公差带;将度量几何学中的运动理论与定向公差的数学定义理论相结合,给出适合于计算机表达、处理以及在各阶...在ANSI Y 14.5.1M-1994的定向公差数学定义的基础上,提出隐含基准的概念,采用点集的形式用矢量方程严格定义国标中各定向公差带;将度量几何学中的运动理论与定向公差的数学定义理论相结合,给出适合于计算机表达、处理以及在各阶段数据传递的严格公差数学定义方式。展开更多
文摘Tolerance is essential for integration of CAD and CAM. Unfortunately, the meaning of tolerances in the national standard is expressed in graphical and language forms and is not adaptable for expression, processing and data transferring with computers. How to interpret its semantics is becoming a focus of relevant studies. This work based on the mathematical definition of form tolerance in ANSI Y 14.5.1 M-1994, established the mathematical model of form tolerance for cylindrical feature. First, each tolerance in the national standard was established by vector equation. Then on the foundation of toler-ance's mathematical definition theory, each tolerance zone's mathematical model was established by inequality based on degrees of feature. At last the variance area of each tolerance zone is derived. This model can interpret the semantics of form tolerance exactly and completely.