Batch circular form error characterization and evaluation

- A brand-new concept named as “batch circular form error” is presented.
- Definitions of batch circular form are provided (Section 2.1).
- Evaluation methods of batch circular form error are developed (Sections 2.2, 2.3).
- Case studies with simulation & experimental data are provided (Sections 3, 4).

In practice, it is necessary to understand the general quality status of a batch of circular features machined under the same or similar conditions. In particular, it is necessary to understand the possible worst case among such a batch of circular features. To this end, a brand-new concept called “batch circular form error” is presented in this paper. Detailed definitions of batch circular form error including batch circular form error with ideal conditions and batch circular form error with realistic conditions are provided. Accordingly, the evaluation algorithms of batch circular form error are developed. The algorithms include the characterization of the deterministic profile of circular features and the evaluation of batch circular form error based on a given profile confidence level. Case studies with simulation and experimental data are used for demonstration. The results show that the batch circular form error can be estimated with the data measured from any circular feature in the batch, as long as the sample size is large enough and random ratio is not too large.