Register      Login
Soil Research Soil Research Society
Soil, land care and environmental research
RESEARCH ARTICLE

Optimisation and modelling of draft and rupture width using response surface methodology and artificial neural network for tillage tools

Prem Veer Gautam https://orcid.org/0000-0002-3900-1639 A * , Prem Shanker Tiwari B , Kamal Nayan Agrawal C , Ajay Kumar Roul B , Manoj Kumar D and Karan Singh E
+ Author Affiliations
- Author Affiliations

A Farm Machinery and Power, ICAR-CAZRI, Jodhpur 342003, India.

B Farm Machinery and Power, ICAR-CIAE, Bhopal, India.

C Ergonomics and Safety in Agriculture, ICAR-CIAE, Bhopal, India.

D Agricultural Statistics, ICAR-CIAE, Bhopal, India.

E Computer Application, ICAR-CIAE, Bhopal, India.

* Correspondence to: veerpremgautam@gmail.com

Handling Editor: Abdul Mouazen

Soil Research 60(8) 816-838 https://doi.org/10.1071/SR21271
Submitted: 29 October 2021  Accepted: 11 May 2022   Published: 17 June 2022

© 2022 The Author(s) (or their employer(s)). Published by CSIRO Publishing

Abstract

Context: Soil–tool interaction modelling and optimisation reduce manufacturing costs and energy requirements for precision tillage equipment design. Diverse tillage tools have been designed to reduce draft requirements and desirable soil disturbance, but this is not fully understood.

Aims: The current study investigated the effects of tool width, cone index, depth, and forward speed on draft with corresponding rupture width in order to develop response surface methodology (RSM) and artificial neural network (ANN) models and compared them to other models in order to predict draft and rupture width.

Methods: Experiments were carried out in a soil bin with a vertisol, and rupture width was measured using an image processing technique.

Key results: Using RSM, the optimum values for minimum draft with maximum rupture width within a range of independent variables were found to be 100 mm tool width, 600 kPa cone index, 141.63 mm tillage depth, and 3 km/h forward speed. For predicting the draft, the coefficients of determination (R2) for ANN and RSM models were 0.997 and 0.987, respectively; for rupture width prediction, R2 were 0.921 and 0.976.

Conclusions: Developed ANN and RSM models of draft and rupture width were better than other analytical or numerical models, and both models’ predictions were in good agreement with experiment values within the range of ±5% uncertainty.

Implications: The developed models can be used to predict the draft and soil disturbance requirements of tillage tools and design precision tillage tools.

Keywords: artificial neural network, cone index, draft, image processing, modelling, response surface methodology, rupture width, vertisols.


References

Ahmadi I (2017) Effect of soil, machine, and working state parameters on the required draft force of a subsoiler using a theoretical draft-calculating model. Soil Research 55, 389–400.
Effect of soil, machine, and working state parameters on the required draft force of a subsoiler using a theoretical draft-calculating model.Crossref | GoogleScholarGoogle Scholar |

Aikins KA, Jensen TA, Antille DL (2020) Three-dimensional scanning of soil surface and furrow profiles using a portable and affordable unit. Biosystems Engineering 193, 279–289.
Three-dimensional scanning of soil surface and furrow profiles using a portable and affordable unit.Crossref | GoogleScholarGoogle Scholar |

Al-Hamed SA, Wahby MF, Al-Saqer SM, Aboukarima AM, Sayedahmed AA (2013) Artificial neural network model for predicting draft and energy requirements of a disk plow. The Journal of Animal & Plant Sciences 23, 1714–1724.

Almaliki S (2018) Simulation of draft force for three types of plow using response surface method under various field conditions. Iraqi Journal of Agricultural Sciences 49, 1123–1131.
Simulation of draft force for three types of plow using response surface method under various field conditions.Crossref | GoogleScholarGoogle Scholar |

Ani OA, Uzoejinwa BB, Ezeama AO, Onwualu AP, Ugwu SN, Ohagwu CJ (2018) Overview of soil-machine interaction studies in soil bins. Soil and Tillage Research 175, 13–27.
Overview of soil-machine interaction studies in soil bins.Crossref | GoogleScholarGoogle Scholar |

ASAE (1993) ‘Soil cone penetrometer S 313.2.’ ASAE Standards. (American Society of Agricultural Engineering)

ASABE (2003) ‘ASAE D497.4: Agricultural machinery management data.’ ASAE Standards 2003. (American Society of Agricultural and Biological Engineers: St. Joseph, MI)

Barr JB, Desbiolles JMA, Fielke JM, Ucgul M (2019) Development and field evaluation of a high-speed no–till seeding system. Soil and Tillage Research 194, 104337
Development and field evaluation of a high-speed no–till seeding system.Crossref | GoogleScholarGoogle Scholar |

Godwin RJ (2007) A review of the effect of implement geometry on soil failure and implement forces. Soil and Tillage Research 97, 331–340.
A review of the effect of implement geometry on soil failure and implement forces.Crossref | GoogleScholarGoogle Scholar |

Godwin RJ, Spoor G (1977) Soil failure with narrow tines. Journal of Agricultural Engineering Research 22, 213–228.
Soil failure with narrow tines.Crossref | GoogleScholarGoogle Scholar |

Godwin RJ, Spoor G, Soomro MS (1984) The effect of time arrangement on soil forces and disturbance. Journal of Agricultural Engineering Research 30, 47–56.
The effect of time arrangement on soil forces and disturbance.Crossref | GoogleScholarGoogle Scholar |

Godwin RJ, O’Dogherty MJ, Saunders C, Balafoutis AT (2007) A force prediction model for mouldboard ploughs incorporating the effects of soil characteristic properties, plough geometric factors and ploughing speed. Biosystems Engineering 97, 117–129.
A force prediction model for mouldboard ploughs incorporating the effects of soil characteristic properties, plough geometric factors and ploughing speed.Crossref | GoogleScholarGoogle Scholar |

Gupta CP, Surendranath T (1989) Stress field in soil owing to tillage tool interaction. Soil and Tillage Research 13, 123–149.
Stress field in soil owing to tillage tool interaction.Crossref | GoogleScholarGoogle Scholar |

Hang C, Gao X, Yuan M, Huang Y, Zhu R (2018) Discrete element simulations and experiments of soil disturbance as affected by the tine spacing of subsoiler. Biosystems Engineering 168, 73–82.
Discrete element simulations and experiments of soil disturbance as affected by the tine spacing of subsoiler.Crossref | GoogleScholarGoogle Scholar |

Harrigan TM, Rotz CA (1995) Draft relationships for tillage and seeding equipment. Applied Engineering in Agriculture 11, 773–783.
Draft relationships for tillage and seeding equipment.Crossref | GoogleScholarGoogle Scholar |

Haykin S (1999) Multilayer perceptrons. In ‘Neural networks: a comprehensive foundation’. 2nd edn. pp. 156–255. (Prentice-Hall)

Hettiaratchi DRP, Reece AR (1967) Symmetrical three-dimensional soil failure. Journal of Terramechanics 4, 45–67.
Symmetrical three-dimensional soil failure.Crossref | GoogleScholarGoogle Scholar |

Ibrahmi A, Bentaher H, Hbaieb M, Maalej A, Mouazen AM (2015) Study the effect of tool geometry and operational conditions on mouldboard plough forces and energy requirement: Part 1. Finite element simulation. Computers and Electronics in Agriculture 117, 258–267.
Study the effect of tool geometry and operational conditions on mouldboard plough forces and energy requirement: Part 1. Finite element simulation.Crossref | GoogleScholarGoogle Scholar |

Jayasuriya HPW, Salokhe VM (2003) A method for obtaining three-dimensional soil failure profiles used in modelling soil–tool interactions. Biosystems Engineering 86, 365–373.
A method for obtaining three-dimensional soil failure profiles used in modelling soil–tool interactions.Crossref | GoogleScholarGoogle Scholar |

Karmakar S, Kushwaha RL (2006) Dynamic modeling of soil–tool interaction: an overview from a fluid flow perspective. Journal of Terramechanics 43, 411–425.
Dynamic modeling of soil–tool interaction: an overview from a fluid flow perspective.Crossref | GoogleScholarGoogle Scholar |

Karmakar S, Kushwaha RL, Stilling DSD (2005) Soil failure associated with crack propagation for an agricultural tillage tool. Soil and Tillage Research 84, 119–126.
Soil failure associated with crack propagation for an agricultural tillage tool.Crossref | GoogleScholarGoogle Scholar |

Karmakar S, Ashrafizadeh SR, Kushwaha RL (2009) Experimental validation of computational fluid dynamics modeling for narrow tillage tool draft. Journal of Terramechanics 46, 277–283.
Experimental validation of computational fluid dynamics modeling for narrow tillage tool draft.Crossref | GoogleScholarGoogle Scholar |

Kepner RA, Bainer R, Barger EL (1978) ‘Principles of farm machinery.’ (AVI Publication Co. INC.: Westport, Connecticut)

Koolen AJ, Kuipers H (1983) ‘Agricultural soil mechanics.’ (Springer)

Kuczewski J, Piotrowska E (1998) An improved model for forces on narrow soil cutting tines. Soil and Tillage Research 46, 231–239.
An improved model for forces on narrow soil cutting tines.Crossref | GoogleScholarGoogle Scholar |

Kushwaha RL, Linke C (1996) Draft-speed relationship of simple tillage tools at high operating speeds. Soil and Tillage Research 39, 61–73.
Draft-speed relationship of simple tillage tools at high operating speeds.Crossref | GoogleScholarGoogle Scholar |

Kushwaha RL, Chi L, Shen J (1993) Analytical and numerical models for predicting soil forces on narrow tillage tools - a review. Canadian Agricultural Engineering 35, 183–193.

Li B, Chen Y, Chen J (2016) Modeling of soil–claw interaction using the discrete element method (DEM). Soil and Tillage Research 158, 177–185.
Modeling of soil–claw interaction using the discrete element method (DEM).Crossref | GoogleScholarGoogle Scholar |

Luth HJ, Wismer RD (1971) Performance of plane soil cutting blades in sand. Transactions of the ASAE 14, 0255–0259.
Performance of plane soil cutting blades in sand.Crossref | GoogleScholarGoogle Scholar |

Mak J, Chen Y, Sadek MA (2012) Determining parameters of a discrete element model for soil–tool interaction. Soil and Tillage Research 118, 117–122.
Determining parameters of a discrete element model for soil–tool interaction.Crossref | GoogleScholarGoogle Scholar |

Makanga JT, Salokhe VM, Gee-Clough D (1996) Effect of tine rake angle and aspect ratio on soil failure patterns in dry loam soil. Journal of Terramechanics 33, 233–252.
Effect of tine rake angle and aspect ratio on soil failure patterns in dry loam soil.Crossref | GoogleScholarGoogle Scholar |

Makanga JT, Salokhe VM, Gee-Clough D (1997) Effects of tine rake angle and aspect ratio on soil reactions in dry loam soil. Journal of Terramechanics 34, 235–250.
Effects of tine rake angle and aspect ratio on soil reactions in dry loam soil.Crossref | GoogleScholarGoogle Scholar |

Manuwa SI (2009) Performance evaluation of tillage tines operating under different depths in a sandy clay loam soil. Soil and Tillage Research 103, 399–405.
Performance evaluation of tillage tines operating under different depths in a sandy clay loam soil.Crossref | GoogleScholarGoogle Scholar |

Maran JP, Sivakumar V, Thirugnanasambandham K, Sridhar R (2013) Artificial neural network and response surface methodology modeling in mass transfer parameters predictions during osmotic dehydration of Carica papaya L. Alexandria Engineering Journal 52, 507–516.
Artificial neural network and response surface methodology modeling in mass transfer parameters predictions during osmotic dehydration of Carica papaya L.Crossref | GoogleScholarGoogle Scholar |

McKyes E (1989) ‘Soil cutting and tillage. Agricultural engineering soil mechanics.’ Developments in Agricultural Engineering 10. pp. 192-221. (Elsevier Science Publishing Company Inc: Amsterdam)
| Crossref |

McKyes E, Ali OS (1977) The cutting of soil by narrow blades. Journal of Terramechanics 14, 43–58.
The cutting of soil by narrow blades.Crossref | GoogleScholarGoogle Scholar |

McKyes E, Desir FL (1984) Prediction and field measurements of tillage tool draft forces and efficiency in cohesive soils. Soil and Tillage Research 4, 459–470.
Prediction and field measurements of tillage tool draft forces and efficiency in cohesive soils.Crossref | GoogleScholarGoogle Scholar |

Payne PJC (1956) The relationship between the mechanical properties of soils and the performance of simple cultivation implements. Journal of Agricultural Engineering Research 1, 23–50.

Perumpral JV, Grisso RD, Desai CS (1983) A soil-tool model based on limit equilibrium analysis. Transactions of the ASAE 26, 0991–0995.
A soil-tool model based on limit equilibrium analysis.Crossref | GoogleScholarGoogle Scholar |

Rahman A, Kushwaha RL, Ashrafizadeh SR, Panigrahi S (2011) Prediction of energy requirement of a tillage tool in a soil bin using artificial neural network. In ‘Proceedings of the American Society of Agricultural and Biological Engineers Annual International Meeting’, Louisville, Kentucky, 7–10 August 2011, p. 1. (American Society of Agricultural and Biological Engineers)
| Crossref |

Reece AR (1965) The fundamental equation of earth-moving mechanics. Proceedings of the Institution of Mechanical Engineers 179, 16–22.
The fundamental equation of earth-moving mechanics.Crossref | GoogleScholarGoogle Scholar |

Roul AK, Raheman H, Pansare MS, Machavaram R (2009) Predicting the draught requirement of tillage implements in sandy clay loam soil using an artificial neural network. Biosystems Engineering 104, 476–485.
Predicting the draught requirement of tillage implements in sandy clay loam soil using an artificial neural network.Crossref | GoogleScholarGoogle Scholar |

Rowe RJ, Barnes KK (1961) Influence of speed on elements of draft of a tillage tool. Transactions of the ASAE 4, 0055–0057.
Influence of speed on elements of draft of a tillage tool.Crossref | GoogleScholarGoogle Scholar |

Selig ET, Nelson RD (1964) Observations of soil cutting with blades. Journal of Terramechanics 1, 32–53.
Observations of soil cutting with blades.Crossref | GoogleScholarGoogle Scholar |

Shafaei SM, Loghavi M, Kamgar S (2018) A comparative study between mathematical models and the ANN data mining technique in draft force prediction of disk plow implement in clay loam soil. Agricultural Engineering International: CIGR Journal 20, 71–79.

Shmulevich I (2010) State of the art modeling of soil–tillage interaction using discrete element method. Soil and Tillage Research 111, 41–53.
State of the art modeling of soil–tillage interaction using discrete element method.Crossref | GoogleScholarGoogle Scholar |

Siemens JC, Weber JA, Thornburn TH (1965) Mechanics of soil as influenced by model tillage tools. Transactions of the ASAE 8, 0001–0007.
Mechanics of soil as influenced by model tillage tools.Crossref | GoogleScholarGoogle Scholar |

Sohne W (1956) Some basic considerations of soil mechanics as applied to agricultural engineering. (National Institute of Agricultural Engineering)

Solhjou A, Fielke JM, Desbiolles JMA (2012) Soil translocation by narrow openers with various rake angles. Biosystems Engineering 112, 65–73.
Soil translocation by narrow openers with various rake angles.Crossref | GoogleScholarGoogle Scholar |

Tagar AA, Changying J, Adamowski J, Malard J, Qi CS, Qishuo D, Abbasi NA (2015) Finite element simulation of soil failure patterns under soil bin and field testing conditions. Soil and Tillage Research 145, 157–170.
Finite element simulation of soil failure patterns under soil bin and field testing conditions.Crossref | GoogleScholarGoogle Scholar |

Terzaghi K (1943) ‘Theoretical soil mechanics.’ (John Wiley: New York)

Ucgul M, Fielke JM, Saunders C (2014a) 3D DEM tillage simulation: validation of a hysteretic spring (plastic) contact model for a sweep tool operating in a cohesionless soil. Soil and Tillage Research 144, 220–227.
3D DEM tillage simulation: validation of a hysteretic spring (plastic) contact model for a sweep tool operating in a cohesionless soil.Crossref | GoogleScholarGoogle Scholar |

Ucgul M, Fielke JM, Saunders C (2014b) Three-dimensional discrete element modelling of tillage: determination of a suitable contact model and parameters for a cohesionless soil. Biosystems Engineering 121, 105–117.
Three-dimensional discrete element modelling of tillage: determination of a suitable contact model and parameters for a cohesionless soil.Crossref | GoogleScholarGoogle Scholar |

Upadhyaya SK, Williams TH, Kemble LJ, Collins NE (1984) Energy requirements for chiseling in coastal plain soils. Transactions of the ASAE 27, 1643–1649.
Energy requirements for chiseling in coastal plain soils.Crossref | GoogleScholarGoogle Scholar |

Wheeler PN, Godwin RJ (1996) Soil dynamics of single and multiple tines at speeds up to 20 km/h. Journal of Agricultural Engineering Research 63, 243–249.
Soil dynamics of single and multiple tines at speeds up to 20 km/h.Crossref | GoogleScholarGoogle Scholar |

Witek-Krowiak A, Chojnacka K, Podstawczyk D, Dawiec A, Pokomeda K (2014) Application of response surface methodology and artificial neural network methods in modelling and optimization of biosorption process. Bioresource Technology 160, 150–160.
Application of response surface methodology and artificial neural network methods in modelling and optimization of biosorption process.Crossref | GoogleScholarGoogle Scholar | 24495798PubMed |

Yusri IM, Abdul Majeed APP, Mamat R, Ghazali MF, Awad OI, Azmi WH (2018) A review on the application of response surface method and artificial neural network in engine performance and exhaust emissions characteristics in alternative fuel. Renewable and Sustainable Energy Reviews 90, 665–686.
A review on the application of response surface method and artificial neural network in engine performance and exhaust emissions characteristics in alternative fuel.Crossref | GoogleScholarGoogle Scholar |

Zaied MB, Dahab MH, El Naim AM (2014) Development of a mathematical model for angle of soil failure plane in case of 3-dimenssional cutting. Current Research in Agricultural Sciences 1, 42–52.

Zhang JI, Kushwaha RL (1995) A modified model to predict soil cutting resistance. Soil and Tillage Research 34, 157–168.
A modified model to predict soil cutting resistance.Crossref | GoogleScholarGoogle Scholar |