Dependence of Agricultural Machinery Specific Resistance on Soil Hardness
DOI:
https://doi.org/10.32515/2664-262X.2026.13(44).286-300Keywords:
soil hardness, soil resistivity, working speed, slippage, crop residues, working width, machine resistivity, working parts of agricultural machinery, productivityAbstract
The purpose of this study is to enhance the efficiency of machine unit assembly by developing a unified method for substantiating the specific resistance of machines equipped with various working tools, based on soil hardness values. The article investigates the dependence of the specific resistance of agricultural machinery on key factors: soil hardness, working tool shape and material, tillage depth, presence of crop residues, and operating speed.
Traditional field dynamometry is analyzed, highlighting its drawbacks (high labor intensity, requirement for specialized equipment, substantial time and financial costs). A novel approach is proposed for substantiating the specific resistance of agricultural machines with diverse working tools. This method substitutes the specific soil resistance during plowing with its hardness index (measured using a penetrometer), incorporating correction coefficients for working tool shape (c), working surface material (λ), presence of crop residues (z), and the nonlinear effect of travel speed.
Field experiments conducted on typical soils of the Sumy region (Institute of Agriculture of the North-East of the National Academy of Agrarian Sciences of Ukraine) established a layered dependence of soil hardness and specific resistance on depth (0–30 cm) with high reliability. Based on the obtained data, a mathematical model of the total and specific resistance of the machine was developed, accounting for both static and dynamic (inertial) components.
Using the example of the Claas Axion 930 tractor aggregated with the Lemken Rubin 10 disc harrow, the pattern of increasing resistance and slippage with rising speed (5–12 km/h) and soil hardness (0.75–3.0 MPa) is demonstrated. It is shown that at higher soil hardness levels, the rate of increase in resistance and slippage with speed rises substantially.
For practical implementation, a program was created in Microsoft Excel 2016 to facilitate laboratory analyses. The proposed approach enables a significant reduction in costs for full-scale experiments, improves the accuracy of predicting traction characteristics, and optimizes the selection of tractors and implements under varying agrotechnical conditions.
References
Список літератури
1. Зубко В. М. Концепція забезпечення якості механізованих агротехнологій : дис. … д-ра техн. наук: 05.05.11. Київ, 2021, 393 с..
2. За механізацію сільського господарства : зб. матеріалів Наркомзему УРСР та УНДІМ. Київ : Держ. вид-во колгосп. і радгосп. літ-ри УРСР, 1937, 112 с. URL: https://upload.wikimedia.org/wikipedia/commons/7/73/%D0%97%D0%B0_%D0%BC%D0%B5%D1%85%D0%B0%D0%BD%D1%96%D0%B7%D0%B0%D1%86%D1%96%D1%8E_%D1%81%D1%96%D0%BB%D1%8C%D1%81%D1%8C%D0%BA%D0%BE%D0%B3%D0%BE_%D0%B3%D0%BE%D1%81%D0%BF%D0%BE%D0%B4%D0%B0%D1%80%D1%81%D1%82%D0%B2%D0%B0._1937.pdf .
3. Забродоцька Л. Ю. Основи агрономії : навч. посіб. Луцьк : ЛНТУ, 2021, 200 с. URL: https://lib.lntu.edu.ua/sites/default/files/2021-03/%D0%9E%D1%81%D0%BD%D0%BE%D0%B2%D0%B8%20%D0%B0%D0%B3%D1%80%D0%BE%D0%BD%D0%BE%D0%BC%D1%96%D1%97.pdf.
4. Качинський М. А. Фізика ґрунту : у 2 ч. К. : Мрія, 1996. URL: https://geography.lnu.edu.ua/wp-content/uploads/2021/04/FIZYKA-GRUNTIV-laboratornyy-praktykum.pdf https://elib.lntu.edu.ua/sites/default/files/elib_upload/%D0%97%D1%96%D0%BD%D1%87%D1%83%D0%BA%20%D0%9C.%D0%86/other/lekcziya_11_fizichni_vlastivosti_gruntiv.pdf
5. A l-Janobi A. A., Al-Suhaibani S. A. Draft of primary tillage implements in sandy loam soil. Applied Engineering in Agriculture. 1998. Vol. 14, no. 4. P. 343–348..
6. Sahu R. K., Raheman H. Draught prediction of agricultural implements using reference tillage tools in sandy clay loam soil. Biosystems Engineering. 2006. Vol. 94, no. 2. P. 275–284. DOI: https://doi.org/10.1016/j.biosystemseng.2006.01.015.
7. ASAE Standard (2003). ASAE D497.4. Agricultural Machinery Management Data. ASAE, St. Joseph, MI, USA
8. Grisso R. D., Yasin M., Kocher M. F. Tillage implement forces operating in silty clay loam. Transactions of the ASAE. 1996. Vol. 39, no. 6. P. 1977–1982.
9. Glancey J L; Upadhyaya S K; Chancellor W J; Rumsey J W. An instrumented chisel for the study of soil-tillage dynamics. Soil and Tillage Research, 14, 1989, 1–24.
10. Gupta P D; Gupta C P; Pandey K P. An analytical model for predicting draught forces on convex-type cutting blades. Soil and Tillage Research, 14, 1989. P. 131–144.
11. Swick W. C., Perumpral J. V. A model for predicting soil-tool interaction . Journal of Terramechanics. 1988. Vol. 25. P. 43–56
12. McKyes E. Soil cutting and tillage. Amsterdam ; New York : Elsevier, 1985. 218 p.
13. Godwin R. J., Spoor G., Soomro M. S. The effect of tine arrangement on soil forces and disturbances . Journal of Agricultural Engineering Research. 1984. Vol. 30. P. 47–56.
14. Godwin R. J., Spoor G. Soil failure with narrow tines . Journal of Agricultural Engineering Research. 1977. Vol. 22. P. 213–228.
15. Luth H. J., Wismer R. D. Performance of plane soil cutting blades in sand // Transactions of the ASAE. 1971. Vol. 14, No. 2. P. 255–259, 262.
16. Siemens J. C., Weber J. A., Thornburn T. H. Mechanics of soil as influenced by model tillage tools // Transactions of the ASAE. 1965. Vol. 8, No. 1. P. 1–7
17. Rowe R. J., Barnes K. K. Influence of speed on elements of draft of a tillage tool // Transactions of the ASAE. 1961. Vol. 4, No. 1. P. 55–57.
18. Glancey J. L., Upadhyaya S. K. An improved technique for agricultural implement draught analysis // Soil and Tillage Research. 1995. Vol. 35. P. 175–182.
19. Wheeler P. N., Godwin R. J. Soil dynamics of single and multiple tines at speeds up to 20 km/h // Journal of Agricultural Engineering Research. 1996. Vol. 63, No. 3. P. 243–250
20. Bulgakov, V.; Aboltins, A.; Beloev, H.; Nadykto, V.; Kyurchev, V.; Adamchuk, V.; Kaminskiy, V. Maximum Admissible Slip of Tractor Wheels without Disturbing the Soil Structure. Appl. Sci. 2021, 11, 6893. doi.org/10.3390/app11156893
21. American Society of Agricultural and Biological Engineers. Agricultural Machinery Management Data. Standard ASAE D497.7 MAR2011. St. Joseph, MI: ASABE; 2011
22. Glancey J. L. Prediction of tillage implement draft with a reference tillage tool : Unpublished Ph.D. Thesis. Davis : University of California, Agricultural Engineering Department, 1990.
23. A. J. Pradoa; F. A. Auat Cheein; S. Blazicb; M. Torres-Torriti. Probabilistic self-tuning approaches for enhancing performance of autonomous vehicles in changing terrains. Journal of Terramechanics 78, 2018 39-51. doi.org/10.1016/j.jterra.2018.04.001
24. Оптимізація комплексів машин і структури машинного парку та планування технічного сервісу : навчальний посібник / І. І. Мельник, В. Д. Гречкосій, В. В. Марченко та ін.]. К. : ВВЦ НАУ, 2004. 151с.
25. .K. Roul; H. Raheman; M.S. Pansare; R. Machavaram. Predicting the draught requirement of tillage implements in sandy clay loam soil using an artificial neural network. Biosystems Engineering 104 (2009) 476-485. doi:10.1016/j.biosystemseng.2009.09.004
26. Claas Axion 950-920. URL: https://ats.in.ua/products/claas-axion-950-920/93 (дата звернення: 28.02.2026).
27. Борона дискова коротка Rubin 10 . ЛЕМКЕН Україна. URL: http://lemken.com.ua/ua/harrow_rubin_10 (дата звернення: 28.02.2026).
References
1. Zubko, V. M. (2021). Kontseptsiia zabezpechennia yakosti mekhanizovanykh ahrotekhnolohii [Concept of quality assurance of mechanized agricultural technologies] [Doctoral dissertation, Kyiv]. [in Ukrainian]
2. Za mekhanizatsiiu silskoho hospodarstva: zb. materialiv Narkomzemu URSR ta UNDIM. (1937). Derzh. vyd-vo kolhosp. i radhosp. lit-ry URSR. URL:https://upload.wikimedia.org/wikipedia/commons/7/73/%D0%97%D0%B0_%D0%BC%D0%B5%D1%85%D0%B0%D0%BD%D1%96%D0%B7%D0%B0%D1%86%D1%96%D1%8E_%D1%81%D1%96%D0%BB%D1%8C%D1%81%D1%8C%D0%BA%D0%BE%D0%B3%D0%BE_%D0%B3%D0%BE%D1%81%D0%BF%D0%BE%D0%B4%D0%B0%D1%80%D1%81%D1%82%D0%B2%D0%B0._1937.pdf [in Ukrainian]
3. Zabrodotska, L. Yu. (2021). Osnovy ahronomii [Fundamentals of Agronomy] [Navchalnyi posibnyk]. Lutsk: LNTU. https://lib.lntu.edu.ua/sites/default/files/2021-03/%D0%9E%D1%81%D0%BD%D0%BE%D0%B2%D0%B8%20%D0%B0%D0%B3%D1%80%D0%BE%D0%BD%D0%BE%D0%BC%D1%96%D1%97.pdf. [in Ukrainian]
4. Kachynskyi, M. A. (1970). Fizyka gruntu [Soil physics]: u 2 ch. Mria. https://geography.lnu.edu.ua/wp-content/uploads/2021/04/FIZYKA-GRUNTIV-laboratornyy-praktykum.pdf https://elib.lntu.edu.ua/sites/default/files/elib_upload/%D0%97%D1%96%D0%BD%D1%87%D1%83%D0%BA%20%D0%9C.%D0%86/other/lekcziya_11_fizichni_vlastivosti_gruntiv.pdf [in Ukrainian]
5. Al-Janobi, A. A., & Al-Suhaibani, S. A. (1998). Draft of primary tillage implements in sandy loam soil. Applied Engineering in Agriculture, 14(4), 343–348.
6. Sahu, R. K., & Raheman, H. (2006). Draught prediction of agricultural implements using reference tillage tools in sandy clay loam soil. Biosystems Engineering, 94(2), 275–284. https://doi.org/10.1016/j.biosystemseng.2006.01.015
7. American Society of Agricultural Engineers. (2003). ASAE D497.4: Agricultural machinery management data. ASAE.
8. Grisso, R. D., Yasin, M., & Kocher, M. F. (1996). Tillage implement forces operating in silty clay loam. Transactions of the ASAE, 39(6), 1977–1982.
9. Glancey, J. L., Upadhyaya, S. K., Chancellor, W. J., & Rumsey, J. W. (1989). An instrumented chisel for the study of soil-tillage dynamics. Soil and Tillage Research, 14(1), 1–24. Swick, W. C., & Perumpral, J. V. (1988). A model for predicting soil tool interaction. Journal of Terramechanics, 25(1), 43–56.
10. Gupta, P. D., Gupta, C. P., & Pandey, K. P. (1989). An analytical model for predicting draught forces on convex-type cutting blades. Soil and Tillage Research, 14(2), 131–144.
11. Swick, W. C., & Perumpral, J. V. (1988). A model for predicting soil tool interaction. Journal of Terramechanics, 25(1), 43–56.
12. McKyes, E. (1985). Soil cutting and tillage. Elsevier.
13. Godwin, R. J., Spoor, G., & Soomro, M. S. (1984). The effect of tine arrangement on soil forces and disturbances. Journal of Agricultural Engineering Research, 30(1), 47–56. Glancey, J. L., & Upadhyaya, S. K. (1995). An improved technique for agricultural implement draught analysis. Soil and Tillage Research, 35(3), 175–182.
14. Godwin, R. J., & Spoor, G. (1977). Soil failure with narrow tines. Journal of Agricultural Engineering Research, 22(4), 213–228.
15. Luth, H. J., & Wismer, R. D. (1971). Performance of plane soil cutting blades in sand. Transactions of the ASAE, 14(2), 255–259, 262. Glancey, J. L. (1990). Prediction of tillage implement draft with a reference tillage tool [Unpublished doctoral dissertation]. Agricultural Engineering Department, University of California, Davis.
16. Siemens, J. C., Weber, J. A., & Thornburn, T. H. (1965). Mechanics of soil as influenced by model tillage tools. Transactions of the ASAE, 8(1), 1–7.
17. Rowe, R. J., & Barnes, K. K. (1961). Influence of speed on elements of draft of a tillage tool. Transactions of the ASAE, 4(1), 55–57.
18. Glancey, J. L., & Upadhyaya, S. K. (1995). An improved technique for agricultural implement draught analysis. Soil and Tillage Research, 35(3), 175–182.
19. Wheeler, P. N., & Godwin, R. J. (1996). Soil dynamics of single and multiple tines at speeds up to 20 km/h. Journal of Agricultural Engineering Research, 63(3), 243–250.
20. Bulgakov, V., Aboltins, A., Beloev, H., Nadykto, V., Kyurchev, V., Adamchuk, V., & Kaminskiy, V. (2021). Maximum admissible slip of tractor wheels without disturbing the soil structure. Applied Sciences, 11(15), 6893. https://doi.org/10.3390/app11156893
21. American Society of Agricultural and Biological Engineers. (2011). Agricultural machinery management data (Standard ASABE D497.7 MAR2011). ASABE.
22. Glancey, J. L. (1990). Prediction of tillage implement draft with a reference tillage tool [Unpublished doctoral dissertation]. Agricultural Engineering Department, University of California, Davis.
23. Prado, A. J., Auat Cheein, F. A., Blazic, S., & Torres-Torriti, M. (2018). Probabilistic self-tuning approaches for enhancing performance of autonomous vehicles in changing terrains. Journal of Terramechanics, 78, 39–51. https://doi.org/10.1016/j.jterra.2018.04.001
24. Melnyk, I. I., Hrechkosii, V. D., Marchenko, V. V., ta in. (2004). Optymizatsiia kompleksiv mashyn i struktury mashynnoho parku ta planuvannia tekhnichnoho servisu [Optimization of machine complexes and machine park structure and technical service planning] [Navchalnyi posibnyk]. VVTs NAU. [in Ukrainian]
25. Roul, K., Raheman, H., Pansare, M. S., & Machavaram, R. (2009). Predicting the draught requirement of tillage implements in sandy clay loam soil using an artificial neural network. Biosystems Engineering, 104(4), 476–485. https://doi.org/10.1016/j.biosystemseng.2009.09.004
26. Claas Axion 950-920. (n.d.). ATS. https://ats.in.ua/products/claas-axion-950-920/93.
27. LEMKEN Ukraine. (n.d.). Rubin 10 disc harrow. https://lemken.com.ua/ua/harrow_rubin_10 .
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 Vladyslav Zubko, Olena Teslenko

This work is licensed under a Creative Commons Attribution 4.0 International License.