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Abstract:
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 detailed. 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.
Key words:
Plane
DOF Mathematical definition Size tolerance
Mathematical model
CLC No: T39.72
国家自然基金创新研究群体科学基金项目及国家自然科学基金资助项目. Received 20001102,
received in revised form 20010319
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