Analysis and Realization of Sampling Strategy in Coordinate Metrology

The stringent customer demands and competitive market emphasize the importance of efficient and effective inspection in industrial metrology. Therefore, the implementation of an appropriate sampling strategy, i.e., the number of points and their distribution, has become very important in the inspection process using a coordinate measuring machine. Moreover, the quality of inspection results has frequently been influenced by sampling plan as well as workpiece size and surface characteristics. It has been an indispensable problem in the present-day measurement processes. Thus, this paper investigates various sample sizes and different point distribution algorithms that can be employed in the evaluation of form error. The effect of specimen size and surface quality on the sampling strategy has also been investigated. Furthermore, this work employs a fuzzy based Technique for Order Performance by Similarity to Ideal Solution approach to realize the best sampling strategy. The results have demonstrated the significance of robust optimization techniques as well as the importance of a suitable sampling strategy in coordinate metrology. This study has also established that Poisson point distribution achieved the best accuracy and the Grid point distribution had taken the least measurement time.

[1]  Chen-Tung Chen,et al.  Extensions of the TOPSIS for group decision-making under fuzzy environment , 2000, Fuzzy Sets Syst..

[2]  D. Mishra,et al.  Multi objective optimization of EDM process parameters using fuzzy TOPSIS method , 2015, 2015 International Conference on Innovations in Information, Embedded and Communication Systems (ICIIECS).

[3]  Chen-Tung Chen,et al.  A fuzzy approach for supplier evaluation and selection in supply chain management , 2006 .

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

[5]  Augustín Görög,et al.  FLATNESS MEASUREMENT BY MULTI-POINT METHODS AND BY SCANNING METHODS , 2011 .

[6]  Yingjie Zhang,et al.  Adaptive sampling method for inspection planning on CMM for free-form surfaces , 2013 .

[7]  John A. Bosch,et al.  Coordinate Measuring Machines and Systems , 1995 .

[8]  Alistair B. Forbes.  Geometric tolerance assessment. , 1999 .

[9]  Chi Fai Cheung,et al.  Quantitative Analysis of the Measurement Uncertainty in Form Characterization of Freeform Surfaces Based on Monte Carlo Simulation , 2015 .

[10]  Syed Hammad Mian,et al.  Feature-based design approach for integrated CAD and computer-aided inspection planning , 2015 .

[11]  Savitha,et al.  New Methods for Ranking of Trapezoidal Fuzzy Numbers , 2017 .

[12]  Richard Bellman,et al.  Decision-making in fuzzy environment , 2012 .

[13]  Giovanni Moroni,et al.  Manufacturing Signatures and CMM Sampling Strategies , 2003 .

[14]  N Orchard,et al.  Uncertainty due to experimental conditions in co-ordinate measuring machines , 2009 .

[15]  S. K. Goyal,et al.  A multi-criteria decision making approach for location planning for urban distribution centers under uncertainty , 2011, Math. Comput. Model..

[16]  Jerry Y. H. Fuh,et al.  A neural network approach to determining optimal inspection sampling size for CMM , 1996 .

[17]  Uticaj Strategije,et al.  THE INFLUENCE OF THE SAMPLING STRATEGY AND THE EVALUATION METHOD ON THE CYLINDRICITY ERROR ON A COORDINATE MEASUREMENT MACHINE , 2014 .

[18]  P. Venkateswara Rao,et al.  Selection of sampling points for accurate evaluation of flatness error using coordinate measuring machine , 2008 .

[19]  C E Collins,et al.  Alternate methods for sampling in coordinate metrology , 2007 .

[20]  Thouis R. Jones.  Efficient Generation of Poisson-Disk Sampling Patterns , 2006, J. Graph. Tools.

[21]  Ahmad Barari,et al.  Effect of sampling strategy on uncertainty and precision of flatness inspection studied by dynamic minimum deviation zone evaluation , 2013 .

[22]  C. W. Ziemian,et al.  Automating probe selection planning for inspection on measuring machine and part setup a coordinate , 1998, Int. J. Comput. Integr. Manuf..

[23]  Wimalin Laosiritaworn,et al.  Determining the Optimal Parameter of Coordinate Measuring Machine with Design of Experiment , 2016 .

[24]  Shivakumar Raman,et al.  On the selection of flatness measurement points in coordinate measuring machine inspection , 2000 .

[25]  Sorin Nadaban,et al.  Fuzzy TOPSIS: A General View , 2016 .

[26]  A. Weckenmann,et al.  Uncertainty of coordinate measurements on sheet-metal parts in the automotive industry , 2001 .

[27]  Deng Yong.  Plant location selection based on fuzzy TOPSIS , 2006 .

[28]  Hoda A. ElMaraghy,et al.  Automatic sampling for CMM inspection planning of free-form surfaces , 2002 .

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

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

[31]  Li Yz,et al.  Research on the Measurement Uncertainty of Blade Surface Measured by Coordinates Measuring Machines , 2015 .

[32]  Said Hariri,et al.  Influence of sample size on flatness estimation and uncertainty in three-dimensional measurement , 2015 .

[33]  Gopal Nayak,et al.  Studies of the Atomic and Crystalline Characteristics of Ceramic Oxide Nano Powders after Bio field Treatment , 2015 .

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

[35]  S. K. Zaremba,et al.  The extreme and L2 discrepancies of some plane sets , 1969 .

[36]  Malgorzata Poniatowska,et al.  Deviation model based method of planning accuracy inspection of free-form surfaces using CMMs , 2012 .

[37]  Peng Guan,et al.  Research on Flatness Error Measurement of Revolving Body End-Face , 2010 .

[38]  Chung-Chi Hsieh,et al.  Efficient sampling for surface measurements , 1995 .

[39]  Ali H. Diabat,et al.  A fuzzy multi criteria approach for evaluating green supplier's performance in green supply chain with linguistic preferences , 2013 .

[40]  Andrea Rossi.  A form of deviation-based method for coordinate measuring machine sampling optimization in an assessment of roundness , 2001 .

[41]  Giovanni Moroni,et al.  Geometric Inspection Planning as a Key Element in Industry 4.0 , 2018 .

[42]  Mao-Jiun J. Wang,et al.  A fuzzy multi-criteria decision-making method for facility site selection , 1991 .

[43]  Sam Anand,et al.  A design advisor for the optimal inspection of circularity tolerance , 2007 .

[44]  Michele Lanzetta,et al.  Optimal blind sampling strategy for minimum zone roundness evaluation by metaheuristics , 2013 .

[45]  Hy D. Tran,et al.  Determination and Optimization of Spatial Samples for Distributed Measurements , 2010 .

[46]  Lotfi A. Zadeh,et al.  The Concepts of a Linguistic Variable and its Application to Approximate Reasoning , 1975 .

[47]  Moroni Giovanni,et al.  Statistical Sampling Strategies for Geometric Tolerance Inspection by CMM , 2008 .

[48]  Robert Bridson,et al.  Fast Poisson disk sampling in arbitrary dimensions , 2007, SIGGRAPH '07.

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