Optimal inspection strategy planning for geometric tolerance verification

Abstract Two features characterize a good inspection system: it is accurate, and compared to the manufacturing cost, it is not expensive. Unfortunately, few measuring systems posses both these characteristics, i.e. low uncertainty comes with a cost. But also high uncertainty comes with a cost, because measuring systems with high uncertainty tend to generate more inspection errors, which come with a cost. In the case of geometric inspection, the geometric deviation is evaluated from a cloud of points sampled on a part. Therefore, not only the measuring device has to be selected, but also the sampling strategy has to be planned, i.e. the sampling point cloud size and where points should be located on the feature to inspect have to be decided. When the measuring device is already available, as it often happens in geometric measurement, where most instruments are flexible, an unwise strategy planning can be the largest uncertainty contributor. In this work, a model for the evaluation of the overall inspection cost is proposed. The optimization of the model can lead to an optimal inspection strategy in economic sense. However, the model itself is based on uncertainty evaluation, in order to assess the impact of measurement error on inspection cost. Therefore, two methodologies for evaluating the uncertainty will be proposed. These methodologies will be focused on the evaluation of the contribution of the sampling strategy to the uncertainty. Finally, few case studies dealing with the inspection planning for a Coordinate Measuring Machine will be proposed.

[1]  G. Moroni,et al.  Manufacturing process error signature and CMM uncertainty costs , 2010 .

[2]  Stefano Petrò,et al.  Early cost estimation for tolerance verification , 2011 .

[3]  R. Wilhelm,et al.  Adaptive sampling for coordinate metrology , 1999 .

[4]  A. Weckenmann,et al.  Productive Metrology - Adding Value to Manufacture , 2005 .

[5]  Dexian Huang,et al.  An effective hybrid DE-based algorithm for flow shop scheduling with limited buffers , 2009 .

[6]  Noel A Cressie,et al.  Statistics for Spatial Data. , 1992 .

[7]  Mineichi Kudo,et al.  Comparison of algorithms that select features for pattern classifiers , 2000, Pattern Recognit..

[8]  Massimo Pacella,et al.  A comparison study of control charts for statistical monitoring of functional data , 2010 .

[9]  Willis A. Jensen,et al.  Monitoring Correlation Within Linear Profiles Using Mixed Models , 2008 .

[10]  Giovanni Moroni,et al.  Adaptive inspection in coordinate metrology based on kriging models , 2013 .

[11]  Matt Lombard,et al.  Dimensioning and Tolerancing , 2013 .

[12]  Giovanni Moroni,et al.  Modeling of Surfaces Subject to Orientation Tolerances , 2010 .

[13]  Douglas C. Montgomery,et al.  Using Control Charts to Monitor Process and Product Quality Profiles , 2004 .

[14]  Wenzhen Huang,et al.  Mode-based Decomposition of Part Form Error by Discrete-Cosine-Transform with Implementation to Assembly and Stamping System with Compliant Parts , 2002 .

[15]  Yu Ding,et al.  Optimal sensor distribution for variation diagnosis in multistation assembly processes , 2003, IEEE Trans. Robotics Autom..

[16]  J. M. Baldwin,et al.  Optimizing discrete point sample patterns and measurement data analysis on internal cylindrical surfaces with systematic form deviations , 2002 .

[17]  P. Bievre The 2007 International Vocabulary of Metrology (VIM), JCGM 200:2008 [ISO/IEC Guide 99]: Meeting the need for intercontinentally understood concepts and their associated intercontinentally agreed terms. , 2009 .

[18]  Robert G. Wilhelm,et al.  Task Specific Uncertainty in Coordinate Measurement , 2001 .

[19]  Giovanni Moroni,et al.  A tolerance interval based criterion for optimizing discrete point sampling strategies , 2010 .

[20]  G. Moroni,et al.  Optimal sampling strategy for orientation tolerance verification , 2010 .

[21]  Massimo Pacella,et al.  Statistical Process Control for Geometric Specifications: On the Monitoring of Roundness Profiles , 2008 .

[22]  G. Moroni,et al.  Virtual CMM based sampling strategy optimization , 2009 .

[23]  Jean Michel Sprauel,et al.  Uncertainties in CMM Measurements, Control of ISO Specifications , 2003 .

[24]  H. Weber,et al.  Functionality-oriented evaluation and sampling strategy in coordinate metrology , 1995 .

[25]  Giovanni Moroni,et al.  Coordinate Measuring Machine Measurement Planning , 2011 .

[26]  Alistair B. Forbes,et al.  Reference software for finding Chebyshev best-fit geometric elements , 1996 .

[27]  Alessandro Balsamo,et al.  Evaluation of CMM Uncertainty Through Monte Carlo Simulations , 1999 .

[28]  S. Standard GUIDE TO THE EXPRESSION OF UNCERTAINTY IN MEASUREMENT , 2006 .

[29]  T. Killmaier,et al.  Genetic approach for automatic detection of form deviations of geometrical features for effective measurement strategy , 2003 .

[30]  Darek Ceglarek,et al.  Sensor optimization for fault diagnosis in single fixture systems : A methodology , 1999 .

[31]  Darek Ceglarek,et al.  Sensor location optimization for fault diagnosis in multi-fixture assembly systems , 1998 .

[32]  Mike Rees,et al.  5. Statistics for Spatial Data , 1993 .

[33]  Giovanni Moroni,et al.  CMM Measurement Uncertainty Reduction Via Sampling Strategy Optimization , 2008 .

[34]  Jean-Pierre Kruth,et al.  Uncertainty determination for CMMs by Monte Carlo simulation integrating feature form deviations , 2009 .

[35]  Dariusz Ceglarek,et al.  Multivariate Analysis and Evaluation of Adaptive Sheet Metal Assembly Systems , 1998 .

[36]  H. Kunzmann,et al.  Assessment of Uncertainties in Dimensional Metrology by Monte Carlo Simulation: Proposal of a Modular and Visual Software , 2000 .

[37]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[38]  Stefano Petrò,et al.  Quality Control of Manufactured Surfaces , 2010 .

[39]  A. Weckenmann,et al.  The Influence of Measurement Strategy on the Uncertainty of CMM-Measurements , 1998 .

[40]  H Han Haitjema,et al.  Virtual CMM using Monte Carlo methods based on frequency content of the error signal , 2001, Lasers in Metrology and Art Conservation.

[41]  Darek Ceglarek,et al.  Sensor Optimization for Fault Diagnosis in Multi-Fixture Assembly Systems With Distributed Sensing , 2000 .

[42]  Yin-Lin Shen,et al.  Sampling strategy design for dimensional measurement of geometric features using coordinate measuring machine , 1997 .