摘要
先以自由度变动为变量，给出了基于自由度变动的平面数学表示方法，接着根据平面在零件中方位的不同而隐含确定的自由度不同，对其进行分类，详细研究了不同类平面的不同尺寸 约束模式。从公差的数学定义出发，系统地推导了广义的尺寸公差数学模型，准确完整地表 示出了尺寸公差的语义。最后给出了其在公差分析中的应用实例。
Tolerance is essential for integration of CAD and CAM and how to interpret its semantics is becoming a focus. Mathematical representation of planar surface is given based on variation of DOF at first. Second, the planar surface is classified according to the number of DOFs which are decided implicitly. Different dimension constraint modes are de tailed. Third, a generic mathematical model of size tolerance is deduced based on mathematical definition systematically which can interpret the semantics of size tolerance exactly and completely. Last, an example is given to illustrate the application of the model in tolerance analysis.
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
2001年第9期12-17,共6页
Journal of Mechanical Engineering
基金
国家自然基金创新研究群体科学基金项目
国家自然科学基金资助项目(69973045
59705022)。
