Batch Roundness Characterization and Evaluation

A new concept referred to as the batch roundness is presented in this paper. This concept is derived to illustrate the worst possible form error for a batch of circular features machined under the same conditions. It is to be used as a statistical quality measure for such a batch of circular features and evaluated by analyzing their systematic and random form error components. The definition of batch roundness is introduced first and the associated evaluation algorithm is then presented. The evaluation algorithm starts by characterizing the deterministic profile for the batch of circular features. When the deterministic profile is obtained, the residuals, which are regarded as the random form error component are available. The batch roundness can then be evaluated and the corresponding confidence level of the batch roundness zone determined. Case studies using both the simulated and experimental data sets have successfully demonstrated that the batch roundness can be reliably estimated from the inspection data of only one circular feature in the batch. This unique feature of the presented algorithm will hold as long as the measurement data size is adequate and the relative magnitude of the random form error component with respect to the batch roundness is not too large.

[1]  Saeid Motavalli,et al.  A unified approach to form error evaluation , 2002 .

[2]  Shuo-Yan Chou,et al.  Assessing circularity in three dimensions , 2001 .

[3]  P. L. Primrose.  Economics of batch manufacture , 1993 .

[4]  M. S. Shunmugam,et al.  Evaluation of circularity from coordinate and form data using computational geometric techniques , 2000 .

[5]  Utpal Roy,et al.  Establishment of a pair of concentric circles with the minimum radial separation for assessing roundness error , 1992, Comput. Aided Des..

[6]  A. Claudio Garavelli.  Performance analysis of a batch production system with limited flexibility , 2001 .

[7]  Thomas R. Kurfess,et al.  Dimensional Measurement Data Analysis, Part 2: Minimum Zone Evaluation , 1999 .

[8]  Sam Anand,et al.  A genetic algorithm based approach for robust evaluation of form tolerances , 2000 .

[9]  Sam Anand,et al.  ASSESSMENT OF CIRCULARITY ERROR USING A SELECTIVE DATA PARTITION APPROACH , 1999 .

[10]  T.S.R. Murthy,et al.  A comparison of different algorithms for circularity evaluation , 1986 .

[11]  Chia-Hsiang Menq,et al.  A unified least-squares approach to the evaluation of geometric errors using discrete measurement data , 1996 .

[12]  R.J.V. Lee,et al.  Technical and financial considerations of AGV use within multi-product and batch manufacture , 1992 .

[13]  M. S. Shunmugam,et al.  Criteria for Computer-Aided Form Evaluation , 1991 .

[14]  A. Koziarski,et al.  The calculation of costs of grinding on conventional and CNC grinding machines in small-batch shaft production , 1988 .

[15]  Jiing-Yih Lai,et al.  Minimum zone evaluation of circles and cylinders , 1996 .

[16]  Mark J. Kaiser,et al.  Generalized zone separation functionals for convex perfect forms and incomplete data sets , 1998 .

[17]  Yih-Chearng Shiue,et al.  An economic batch production quantity model with learning curve-dependent effects: a technical note , 1991 .

[18]  M. I. Heywood,et al.  Application of stochastic real-valued reinforcement neural networks to batch production rescheduling , 1997 .

[19]  Hsi-Yung Feng,et al.  Minimum-Zone Form Tolerance Evaluation Using Rigid-Body Coordinate Transformation , 2003, J. Comput. Inf. Sci. Eng..

[20]  O. Novaski,et al.  Utilization of voronoi diagrams for circularity algorithms , 1997 .

[21]  Y. X. Chu,et al.  A geometric theory of form, profile, and orientation tolerances , 1999 .

[22]  Chung-Ping Chang,et al.  Application of neutral network interval regression method for minimum zone circle roundness , 1997 .

[23]  Jyunping Huang,et al.  An exact solution for the roundness evaluation problems , 1999 .

[24]  Jyunping Huang,et al.  A new strategy for circularity problems , 2001 .

[25]  Kwok-Leung Tsui,et al.  Statistical issues in geometric feature inspection using coordinate measuring machines , 1997 .

[26]  Hsi-Yung Feng,et al.  Characterization of general systematic form errors for circular features , 2003 .