A multivariate GR&R approach to variability evaluation of measuring instruments in resistance spot welding process

Abstract The resistance spot welding is a promising and widely used method for joining mechanical structures, being applicable in various industrial sectors and constantly improved in order to guarantee a product with high reliability and mechanical quality. This paper aims to verify the variability attributed to different measuring instruments for this process, considering the multivariate nature of its critical-to-quality characteristics. In order to verify the degree of reliability of the results in this process, the multivariate repeatability and reproducibility study based on the weighted principal components method was used, considering two different responses. Design of experiments methodology was used for collecting the data, in order to obtain a real representation of the process amplitude. The measurements were evaluated by image analyzer and conventional metrology mechanical instruments. The results showed a better precision of the metrics performed by the image analyzer, where the measurements presented lower variability, while the mechanical instruments showed greater uncertainties for the measured values.

[1]  Shahram Sarkani,et al.  Regression Analysis of Automatic Measurement Systems , 2009, IEEE Transactions on Instrumentation and Measurement.

[2]  Hong Tae Kang,et al.  Full Field Strain Measurement of Resistant Spot Welds Using 3D Image Correlation Systems , 2010 .

[3]  T. Jagadeesha Experimental studies in weld nugget strength of resistance spot-welded 316L austenitic stainless steel sheet , 2017 .

[4]  A. Eslami,et al.  Resistance spot welding of ultrafine grained/nanostructured Al 6061 alloy produced by cryorolling process and evaluation of weldment properties , 2017 .

[5]  Drago Dolinar,et al.  Analysis of an inverter-supplied multi-winding transformer with a full-wave rectifier at the output , 2008 .

[6]  Zhen Luo,et al.  Joining aluminum alloy 5052 sheets via novel hybrid resistance spot clinching process , 2017 .

[7]  Anderson Paulo de Paiva,et al.  Combining Scott-Knott and GR&R methods to identify special causes of variation , 2016 .

[8]  Yau-Ren Shiau Decision support for off-line gage evaluation and improving on-line gage usage , 2001 .

[9]  Yi Xiao,et al.  Characteristics of shunting effect in resistance spot welding in mild steel based on electrode displacement , 2018 .

[10]  Hung-Chang Liao,et al.  Multi-response optimization using weighted principal component , 2006 .

[11]  Anderson Paulo de Paiva,et al.  Aplicação da Metodologia de Superfície de Resposta para Otimização do Processo de Solda a Ponto no Aço Galvanizado AISI 1006 , 2018 .

[12]  M. Zhou,et al.  Relationships between Quality and Attributes of Spot Welds A spot weld's strength can be determined by the geometric characteristics and mechanical properties of the weldment , 2003 .

[13]  Pedro Paulo Balestrassi,et al.  A new multivariate gage R&R method for correlated characteristics , 2013 .

[14]  Mahmoud Awad,et al.  A Measurement System Analysis Approach for Hard-to-Repeat Events , 2009 .

[15]  Saied Darwish,et al.  Micro-hardness of spot welded (B.S. 1050) commercial aluminium as correlated with welding variables and strength attributes , 1999 .

[16]  Karl D. Majeske,et al.  Approval Criteria for Multivariate Measurement Systems , 2008 .

[17]  Subhabrata Chakraborti,et al.  Two simple Shewhart-type multivariate nonparametric control charts , 2012 .

[18]  X. M. Lai,et al.  Optimal design of electrode cooling system for resistance spot welding with the response surface method , 2009 .

[19]  Dawei Zhao,et al.  Weld quality monitoring research in small scale resistance spot welding by dynamic resistance and neural network , 2017 .

[20]  Johan W. Joubert,et al.  Repeatability & reproducibility: Implications of using GPS data for freight activity chains , 2015 .

[21]  Fu-Kwun Wang,et al.  Process-oriented basis representation for a multivariate gauge study , 2010, Comput. Ind. Eng..

[22]  Stelios Psarakis,et al.  Multivariate statistical process control charts: an overview , 2007, Qual. Reliab. Eng. Int..

[23]  A. Liverani,et al.  Strain gauge analysis of implant-supported, screw-retained metal frameworks: Comparison between different manufacturing technologies , 2016, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[24]  Jiju Antony Implementing Evaluation of the Measurement Process in an Automotive Manufacturer: a Case Study , 2003 .

[25]  Jeff Cullen,et al.  Theoretical and practical investigation into sustainable metal joining process for the automotive industry , 2011 .

[26]  A. K. Roy,et al.  Applications of Gage Reproducibility & Repeatability (GRR): Understanding and Quantifying the Effect of Variations from Different Sources on a Robust Process Development , 2014 .

[27]  Kuen-Suan Chen,et al.  Multi-process capability plot and fuzzy inference evaluation , 2008 .

[28]  Primož Podržaj,et al.  A machine vision-based electrode displacement measurement , 2013, Welding in the World.

[29]  Douglas R. Boomer,et al.  Developments in characterization of resistance spot welding of aluminium , 1996 .

[30]  Wenbin Wang,et al.  A simulation-based multivariate Bayesian control chart for real time condition-based maintenance of complex systems , 2012, Eur. J. Oper. Res..

[31]  Richard A. Johnson,et al.  Applied Multivariate Statistical Analysis , 1983 .

[32]  Hongyan Zhang,et al.  Resistance welding : fundamentals and applications , 2005 .

[33]  Pedro Paulo Balestrassi,et al.  Multi-objective optimization of pulsed gas metal arc welding process based on weighted principal component scores , 2010 .

[34]  Hongjie Zhang,et al.  A new measurement method for the dynamic resistance signal during the resistance spot welding process , 2016 .

[35]  Xiaoqing Jiang,et al.  Online monitoring and evaluation of the weld quality of resistance spot welded titanium alloy , 2016 .

[36]  P. Efthymiadis,et al.  Joining TWIP to TWIP and TWIP to aluminium: A comparative study between joining processes, joint properties and mechanical performance , 2017 .

[37]  R. Moharrami,et al.  Numerical stress analysis in resistance spot-welded nugget due to post-weld shear loading , 2017 .

[38]  G. F. Gomes,et al.  Dynamic behavior investigation of spot welding machines and its influence on weld current range by modal analysis , 2017 .

[39]  Fu-Kwun Wang,et al.  APPLYING PRINCIPAL COMPONENT ANALYSIS TO A GR&R STUDY , 2007 .

[40]  M. Pouranvari,et al.  Critical review of automotive steels spot welding: process, structure and properties , 2013 .

[41]  Connie M. Borror,et al.  Some relationships between gage R&R criteria , 2008, Qual. Reliab. Eng. Int..

[42]  Amit Mitra,et al.  Statistical Quality Control , 2002, Technometrics.

[43]  Jakub Kowalczyk,et al.  The analysis of spot welding joints of steel sheets with closed profile by ultrasonic method , 2015 .

[44]  Sansli Senol,et al.  Measurement system analysis using designed experiments with minimum α–β Risks and n , 2004 .

[45]  L. García-Ortíz,et al.  Relationships between quality of life and family function in caregiver , 2011, BMC family practice.

[46]  Connie M. Borror,et al.  A Review of Methods for Measurement Systems Capability Analysis , 2003 .

[47]  Stelios Psarakis,et al.  The use of neural networks in statistical process control charts , 2011, Qual. Reliab. Eng. Int..

[48]  Guilherme Ferreira Gomes,et al.  A Weighted Mean Square Error Approach to the Robust Optimization of the Surface Roughness in an AISI 12L14 Free-Machining Steel-Turning Process , 2018 .

[49]  G. Alan Wang,et al.  Multivariate measurement system analysis in multisite testing: An online technique using principal component analysis , 2011, Expert Syst. Appl..

[50]  Abbas Al-Refaie,et al.  Evaluating measurement and process capabilities by GR&R with four quality measures , 2010 .

[51]  P. Velmurugan,et al.  Optimization of resistance spot welding process parameters and microstructural examination for dissimilar welding of AISI 316L austenitic stainless steel and 2205 duplex stainless steel , 2017 .

[52]  Zhang Rui,et al.  A precision analogue integrator system for heavy current measurement in MFDC resistance spot welding , 2016 .

[53]  Michele Scagliarini,et al.  A Method for Improving Multivariate Measurement Systems Assessment , 2015, Qual. Reliab. Eng. Int..

[54]  D. Montgomery,et al.  Design and analysis of gauge R&R studies : making decisions with confidence intervals in random and mixed ANOVA models , 2005 .

[55]  N. T. Williams,et al.  Review of resistance spot welding of steel sheets Part 1 Modelling and control of weld nugget formation , 2004 .