Multivariate Analysis of Composition Features to Perform Linear Predictions of Rubber Blends Tensile Strength

Article Preview

Abstract:

The goal in this work is to build a multivariate linear model to predict tensile strength since is one of the most significant mechanical properties of carbon-black reinforced rubber blends. This model is based in the relationship between the final mechanical properties and the material composition, with the advantage of using this model to improve the design of the composition of the blend. In order to predict this relevant physical attribute of rubber blends a linear regression is performed, but previously a multivariate analysis of the data is done to get a better accuracy in the validation of the model. The number of used instances and the values are determined by a Taguchi design of experiments, and the output values are obtained from the tensile strength test following the corresponding standard. After the performance of the multivariate analysis where the input variables are under a detail study, a selection of the best features help to improve the accuracy of the model, passing from a 24.80% to a 20.60% of error.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

77-82

Citation:

Online since:

October 2017

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2017 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] J. E. Mark, B. Erman, C. M. Roland, The Science and Technology of Rubber, third ed., Academic Press, Boston, (2013).

Google Scholar

[2] J. S. Dick, Rubber Technology: Compounding and Testing for Performance, second ed., Hanser Publishers, Munich, (2009).

Google Scholar

[3] R. Fernandez Martinez, M. Iturrondobeitia, J. Ibarretxe, T. Guraya, Methodology to classify the shape of reinforcement fillers: optimization, evaluation, comparison, and selection of models, J. Mater. Sci. 52(1) (2017) 569-580.

DOI: 10.1007/s10853-016-0354-1

Google Scholar

[4] R. Lostado, R. Escribano Garcia, R. Fernandez Martinez, Optimization of operating conditions for a double-row tapered roller bearing, Int. J. Mech. Mater. Des. 12(3) (2016) 353-373.

DOI: 10.1007/s10999-015-9311-4

Google Scholar

[5] M. Illera, R. Lostado, R. Fernandez Martinez, B. J. Mac Donald, Characterization of electrolytic tinplate materials via combined finite element and regression models, J. Str. Anal. Eng. Des. 49(6) (2014) 467-480.

DOI: 10.1177/0309324714524398

Google Scholar

[6] ASTM D2240-05, Standard Test Method for Rubber Property-Durometer Hardness, ASTM International, West Conshohocken, PA, www. astm. org, (2005).

Google Scholar

[7] G. Taguchi, Y. Wu, Introduction to off-line quality control, Central Japan Quality Control As-sociation, Nagoya, Japan, (1980).

Google Scholar

[8] G. Taguchi, System of experimental design: engineering methods to optimize quality and minimize cost, UNIPUB, White Plains, New York, (1987).

Google Scholar

[9] G. Taguchi, Introduction to quality engineering, Asian Productivity Organization, UNIPUB, White Plains, New York, (1991).

Google Scholar

[10] P. Rousseeuw, A. Leroy, Robust Regression and Outlier Detection, Wiley, (2003).

Google Scholar

[11] J. F. Hair, W. C. Black, B. J. Babin, R. E. Anderson, Multivariate Data Analysis, 7th Edition, Pearson, (2010).

Google Scholar

[12] R. Fernandez Martinez, F. J. Martinez-de-Pison Ascacibar, A. V. Pernia Espinoza, R. Lostado Lorza, Predictive modeling in grape berry weight during maturation process: Comparison of data mining, statistical and artificial intelligence techniques, Spn. J. Agric. Res. 9(4) (2011).

DOI: 10.5424/sjar/20110904-531-10

Google Scholar

[13] R. Fernandez Martinez, A. Okariz, J. Ibarretxe, M. Iturrondobeitia, T. Guraya, Use of decision tree models based on evolutionary algorithms for the morphological classification of reinforcing nano-particle aggregates, Comput. Mater. Sci. 92 (2014).

DOI: 10.1016/j.commatsci.2014.05.038

Google Scholar

[14] K. Pearson, On Lines and Planes of Closest Fit to Systems of Points in Space, Philosophical Mag. 2(11) (1901) 559-572.

DOI: 10.1080/14786440109462720

Google Scholar

[15] I. T. Jolliffe, Chapter 6: Choosing a Subset of Principal Components or Variables, in: Principal Component Analysis, 2nd edition, Springer, New York, (2002).

DOI: 10.1007/978-1-4757-1904-8_6

Google Scholar

[16] H. Abdi, L. J. Williams, Principal component analysis, Wiley Interdisciplinary Reviews: Comput. Stat. 2(4) (2010) 433-459.

DOI: 10.1002/wics.101

Google Scholar

[17] G. N. Wilkinson, C. E. Rogers, Symbolic descriptions of factorial models for analysis of variance, Appl. Stat. 22 (1973) 392-399.

Google Scholar

[18] J. M. Chambers, Chapter 4: Linear models, in: Statistical Models in S, Eds J. M. Chambers and T. J. Hastie, Wadsworth & Brooks/Cole, (1992).

Google Scholar

[19] R Core Team, R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. URL https: /www. R-project. org/, (2016).

Google Scholar