Study on the modeling and application of arc structure’s profile tolerance

Profile tolerance can play a comprehensive control role, and then it can replace some other kinds of geometric tolerances, so it is widely used in practical engineering. However, there are few studies on profile tolerance modeling. There are only several papers in public, and the modeling methods in these papers all have certain deficiencies. In addition, the arc structure is much more used in practical engineering to deal with approximation of free-form surfaces, and the arc structure is often controlled by profile tolerance. Therefore, a modeling method specifically for the arc profile tolerance is given, and a tolerance analysis method including arc structure is given by combining the profile tolerance modeling method and Vector Loop and Monte Carlo method. Statistical distribution of each tolerance is included in the tolerance analysis method, and an example is given.