Failure rate analysis of jaw crusher using Weibull model

The primary crusher is essential equipment employed for comminuting the mineral in processing plants. Any kind of failure of its components will accordingly hinder the performance of the plant. Therefore, to minimize sudden failures, analysis should be undertaken to improve performance and operational reliability of the crushers and its components. This paper considers the methods for analyzing failure rates of a jaw crusher and its critical components application of a two-parameter Weibull distribution in a mineral processing plant fitted using statistical tests such as goodness of fit and maximum likelihood estimation. Monte Carlo simulation, analysis of variance, and artificial neural network are also applied. Two-parameter Weibull distribution is found to be the best fit distribution using Kolmogorov–Smirnov test. Maximum likelihood estimation method is used to find out the shape and scale parameter of two-parameter Weibull distribution. Monte Carlo simulation generates 40 numbers of shape parameters, scale parameters, and time. Further, 40 numbers of Weibull distribution parameters are evaluated to examine the failure rate, significant difference, and regression coefficient using ANOVA. Artificial neural network with back-propagation algorithm is used to determine R2 and is compared with analysis of variance.

[1]  Murat Kankal,et al.  Modeling and forecasting of Turkey's energy consumption using socio-economic and demographic variables , 2011 .

[2]  J. Chow,et al.  A hybrid ARIMA and artificial neural networks model to forecast particulate matter in urban areas: The case of Temuco, Chile , 2008 .

[3]  Carmita Camposeco-Negrete,et al.  Optimization of cutting parameters for minimizing energy consumption in turning of AISI 6061 T6 using Taguchi methodology and ANOVA , 2013 .

[4]  Kátia Lucchesi Cavalca,et al.  Maintenance resources optimization applied to a manufacturing system , 2006, Reliab. Eng. Syst. Saf..

[5]  N. Ismail,et al.  Screening of factors influencing Cu(II) extraction by soybean oil-based organic solvents using fractional factorial design. , 2011, Journal of environmental management.

[6]  Ammar M. Sarhan Reliability estimations of components from masked system life data , 2001, Reliab. Eng. Syst. Saf..

[7]  Mansoor Zoveidavianpoor A comparative study of artificial neural network and adaptive neurofuzzy inference system for prediction of compressional wave velocity , 2014, Neural Computing and Applications.

[8]  Giorgio Corani,et al.  Air quality prediction in Milan: feed-forward neural networks, pruned neural networks and lazy learning , 2005 .

[9]  Seyed Reza Shadizadeh,et al.  Drilling Stuck Pipe Prediction in Iranian Oil Fields: An Artificial Neural Network Approach , 2010 .

[10]  Şükrü Özşahin,et al.  Comparison of artificial neural network and multiple linear regression models to predict optimum bonding strength of heat treated woods , 2014 .

[11]  S. C. Vettivel,et al.  Experimental investigation on mechanical behaviour, modelling and optimization of wear parameters of B4C and graphite reinforced aluminium hybrid composites , 2014 .

[12]  J. Campbell Introduction to remote sensing , 1987 .

[13]  Patrick Höhener,et al.  Predicting equilibrium vapour pressure isotope effects by using artificial neural networks or multi-linear regression - A quantitative structure property relationship approach. , 2015, Chemosphere.

[14]  P Hyde,et al.  Forecasting PM10 in metropolitan areas: Efficacy of neural networks. , 2012, Environmental pollution.

[15]  Eugene H. Lehman,et al.  Shapes, Moments and Estimators of the Weibull Distribution , 1963 .

[16]  John S. White The Moments of Log-Weibull Order Statistics , 1969 .

[17]  Adnan Sözen,et al.  Forecasting Net Energy Consumption Using Artificial Neural Network , 2006 .

[18]  I. Ceylan Determination of Drying Characteristics of Timber by Using Artificial Neural Networks and Mathematical Models , 2008 .

[19]  S. Pascale,et al.  Evaluation of prediction capability of the artificial neural networks for mapping landslide susceptibility in the Turbolo River catchment (northern Calabria, Italy) , 2014 .

[20]  S. C. Vettivel,et al.  Electrical resistivity, wear map and modeling of extruded tungsten reinforced copper composite , 2014 .

[21]  Lazaros S. Iliadis,et al.  Predicting Wood Thermal Conductivity Using Artificial Neural Networks , 2007 .

[22]  R. Lippmann,et al.  An introduction to computing with neural nets , 1987, IEEE ASSP Magazine.

[23]  E. Kay,et al.  Methods for statistical analysis of reliability and life data , 1974 .

[24]  M. Surappa,et al.  Preparation and properties of cast aluminium-ceramic particle composites , 1981 .

[25]  J. S. Usher Weibull component reliability-prediction in the presence of masked data , 1996, IEEE Trans. Reliab..

[26]  Hongwei Wu,et al.  Prediction of Timber Kiln Drying Rates by Neural Networks , 2006 .

[27]  Jorge Reyes,et al.  Prediction of PM2.5 concentrations several hours in advance using neural networks in Santiago, Chile , 2000 .

[28]  Deborah F. Cook,et al.  Neural-network process modeling of a continuous manufacturing operation , 1993 .

[29]  D. Miracle Metal matrix composites – From science to technological significance , 2005 .

[30]  Birdal Senoglu,et al.  Parameter estimation in geometric process with Weibull distribution , 2010, Appl. Math. Comput..

[31]  T. N. Singh,et al.  Soft computing method for assessment of compressional wave velocity , 2012 .

[32]  Abdallah W. Aboutahoun,et al.  A new approach for parameter estimation of finite Weibull mixture distributions for reliability modeling , 2013 .

[33]  M. Zuo,et al.  Optimal Reliability Modeling: Principles and Applications , 2002 .

[34]  King Abdulaziz,et al.  Methods for Estimating the Parameters of the Weibull Distribution , 2000 .

[35]  Hugh G. Lewis,et al.  Superresolution mapping using a hopfield neural network with fused images , 2006, IEEE Transactions on Geoscience and Remote Sensing.

[36]  Wu Guang,et al.  Empirical relations between compressive strength and microfabric properties of amphibolites using multivariate regression, fuzzy inference and neural networks: A comparative study , 2014 .

[37]  Charles E. Antle,et al.  Estimation of Parameters in the Weibull Distribution , 1967 .

[38]  M. K. Premkumar,et al.  Mechanism of TiC formation in Al/TiCin situ metal-matrix composites , 1993 .

[39]  Dag Tjøstheim,et al.  NOTES AND CORRESPONDENCE A Cautionary Note on the Use of the Kolmogorov-Smirnov Test for Normality , 2007 .

[40]  M. Koczak,et al.  Analysis of in situ formation of titanium carbide in aluminum alloys , 1991 .

[41]  S. Dubey Asymptotic Properties of Several Estimators of Weibull Parameters , 1965 .

[42]  Noureddine Hajjaji,et al.  Factorial design of experiment (DOE) for parametric exergetic investigation of a steam methane reforming process for hydrogen production , 2010 .

[43]  Susmita Mishra,et al.  Process optimization of adsorption of Cr(VI) on activated carbons prepared from plant precursors by a two-level full factorial design , 2010 .

[44]  Pagavathigounder Balasubramaniam,et al.  Delay-dependent asymptotic stability for stochastic delayed recurrent neural networks with time varying delays , 2008, Appl. Math. Comput..

[45]  T. N. Singh,et al.  A comparative study of generalized regression neural network approach and adaptive neuro-fuzzy inference systems for prediction of unconfined compressive strength of rocks , 2012, Neural Computing and Applications.

[46]  Jamal Arkat,et al.  Estimating the parameters of Weibull distribution using simulated annealing algorithm , 2006, Appl. Math. Comput..

[47]  Uday Kumar,et al.  Reliability investigation for a fleet of load haul dump machines in a Swedish mine , 1989 .

[48]  A. R. Daud,et al.  PREPARATION AND CHARACTERIZATION OF STIR CAST-ALUMINUM NITRIDE REINFORCED ALUMINUM METAL MATRIX COMPOSITES , 2009 .

[49]  Lazaros S. Iliadis,et al.  Neural network prediction of bending strength and stiffness in western hemlock (Tsuga heterophylla Raf.) , 2007 .

[50]  Albert Maydeu-Olivares,et al.  Goodness-of-Fit Testing , 2010 .

[51]  R. Ross,et al.  Graphical methods for plotting and evaluating Weibull distributed data , 1994, Proceedings of 1994 4th International Conference on Properties and Applications of Dielectric Materials (ICPADM).

[52]  D. Bui,et al.  A comparative assessment of support vector regression, artificial neural networks, and random forests for predicting and mapping soil organic carbon stocks across an Afromontane landscape. , 2015 .

[53]  Michael Sylvester Packianather,et al.  Comparison of neural and minimum distance classifiers in wood veneer defect identification , 2005 .

[54]  Adnan Sözen,et al.  Turkey's net energy consumption , 2005 .

[55]  S. Rajesh,et al.  Statistical Analysis of Dry Sliding Wear Behavior of Graphite Reinforced Aluminum MMCs , 2014 .

[56]  Lambros Ekonomou,et al.  Greek long-term energy consumption prediction using artificial neural networks , 2010 .

[57]  Benjamin Naumann,et al.  Learning And Soft Computing Support Vector Machines Neural Networks And Fuzzy Logic Models , 2016 .

[58]  Biswanath Doloi,et al.  Development of flank wear prediction model of Zirconia Toughened Alumina (ZTA) cutting tool using response surface methodology , 2011 .

[59]  Gustavo Camps-Valls,et al.  Unbiased sensitivity analysis and pruning techniques in neural networks for surface ozone modelling , 2005 .

[60]  Mansoor Zoveidavianpoor,et al.  Prediction of compressional wave velocity by an artificial neural network using some conventional well logs in a carbonate reservoir , 2013 .

[61]  H. Crutcher A Note on the Possible Misuse of the Kolmogorov-Smirnov Test , 1975 .

[62]  Ernestina Menasalvas,et al.  Prediction of MOR and MOE of structural plywood board using an artificial neural network and comparison with a multivariate regression model , 2012 .

[63]  William E. Roper,et al.  Energy demand estimation of South Korea using artificial neural network , 2009 .

[64]  Pradeep Kumar Jha,et al.  Modeling the abrasive wear characteristics of in-situ synthesized Al–4.5%Cu/TiC composites , 2013 .

[65]  Joaquín B. Ordieres Meré,et al.  Neural network prediction model for fine particulate matter (PM2.5) on the US-Mexico border in El Paso (Texas) and Ciudad Juárez (Chihuahua) , 2005, Environ. Model. Softw..

[66]  Marco Castellani,et al.  Evolutionary feature selection applied to artificial neural networks for wood-veneer classification , 2008 .

[67]  Holger R. Maier,et al.  Protocol for developing ANN models and its application to the assessment of the quality of the ANN model development process in drinking water quality modelling , 2014, Environ. Model. Softw..

[68]  Jun Cao,et al.  ANN-based data fusion for lumber moisture content sensors , 2006 .

[69]  J. C. Zhou,et al.  Estimation of Weibull parameters with linear regression method , 2010 .

[70]  Saro Lee,et al.  Earthquake-induced landslide-susceptibility mapping using an artificial neural network , 2006 .

[71]  Kurt Hornik,et al.  Some new results on neural network approximation , 1993, Neural Networks.

[72]  Sie Chin Tjong,et al.  Microstructural and mechanical characteristics of in situ metal matrix composites , 2000 .

[73]  Chris P. Tsokos,et al.  Estimation of the three parameter Weibull probability distribution , 1995 .

[74]  T. N. Singh,et al.  Prediction of strength properties of some schistose rocks from petrographic properties using artificial neural networks , 2001 .

[75]  Hongwei Wu,et al.  Artificial neural network and mathematical modeling comparative analysis of nonisothermal diffusion of moisture in wood , 2007, Holz als Roh- und Werkstoff.

[76]  A. K. Mukhopadhyay,et al.  Failure analysis of jaw crusher and its components using ANOVA , 2016 .

[77]  Ertuğrul Çam,et al.  Forecasting electricity consumption: A comparison of regression analysis, neural networks and least squares support vector machines , 2015 .