The theoretical modeling of the dynamic compaction process of forest soil

Igor Grigorev; Albert Burgonutdinov; Valentin Makuev; Evgeniy Tikhonov; Viktoria Shvetsova; Oksana Timokhova; Sergey Revyako; Natalia Dmitrieva; Igor Grigorev; Albert Burgonutdinov; Valentin Makuev; Evgeniy Tikhonov; Viktoria Shvetsova; Oksana Timokhova; Sergey Revyako; Natalia Dmitrieva

doi:10.3934/mbe.2022135

Mathematical Biosciences and Engineering

2022, Volume 19, Issue 3: 2935-2949. doi: 10.3934/mbe.2022135

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Research article

The theoretical modeling of the dynamic compaction process of forest soil

1.
Department of Technology and Equipment of Forest Complex, Arctic State Agrotechnological University, Yakutsk, Russian Federation
2.
Department of Operation of Auto Armored Technique of the Faculty (Technical Support), Perm Military Institute of the National Guard's Forces of the Russian Federation, Perm, Russian Federation
3.
Department of Technological and Equipment LT 7, Moscow State Technical University N. E. Bauman (Mytishchi branch), Mytishchi, Russian Federation
4.
Department of Transport and Technological Machinery and Equipment, Petrozavodsk State University, Petrozavodsk, Russian Federation
5.
Department of Descriptive Geometry and Engineering Graphics, Saint-Petersburg State University Architecture and Civil Engineering, Saint-Petersburg, Russian Federation
6.
Department of Engineering Technological Machines and Equipment, Ukhta State Technical University, Ukhta, Russian Federation
7.
Department of Environmental Engineering Machines, Novocherkassk Engineering and Reclamation Institute, Don State Agrarian University, Novocherkassk, Russian Federation
8.
Department of Foreign Languages for Technical and Natural Sciences, Petrozavodsk State University, Petrozavodsk, Russian Federation

Academic Editor: Yang Kuang

Received: 08 November 2021 Revised: 20 December 2021 Accepted: 28 December 2021 Published: 17 January 2022

Due to the growing demand for timber, forest soils are increasingly exposed to mechanical disturbances, caused by forestry equipment. Even though using skidding machines to transport wood is detrimental to the physical state of the soil, this method remains the most common. Hence, there is a need to model the impact of skidding systems on the upper (fertile) layer of the soil. This study aims to develop such a model using the D'Alembert principle, the method of Laplace transforms, and a modified Kelvin-Voigt model. The work shows that subdividing the tractor-bundle-soil system makes it possible to consider the dynamic effect of the vibrating tractor on the soil and soil's ability to undergo deformation separately. In addition, the study developed individual models for the first subsystem that determine vibration effects on soil caused by an unloaded tractor and two loaded skidding systems using different methods of semi-suspended skidding. The present findings can be used to predict the degree of dynamic soil compaction without conducting direct on-site experiments and thus minimize the negative impact of forestry operations on the local ecosystem. The current data also allow simplifying design models for complex forwarders.
- compaction,
- deformation,
- modeling,
- oscillation,
- skidding,
- system
Citation: Igor Grigorev, Albert Burgonutdinov, Valentin Makuev, Evgeniy Tikhonov, Viktoria Shvetsova, Oksana Timokhova, Sergey Revyako, Natalia Dmitrieva. The theoretical modeling of the dynamic compaction process of forest soil[J]. Mathematical Biosciences and Engineering, 2022, 19(3): 2935-2949. doi: 10.3934/mbe.2022135

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Abstract

Due to the growing demand for timber, forest soils are increasingly exposed to mechanical disturbances, caused by forestry equipment. Even though using skidding machines to transport wood is detrimental to the physical state of the soil, this method remains the most common. Hence, there is a need to model the impact of skidding systems on the upper (fertile) layer of the soil. This study aims to develop such a model using the D'Alembert principle, the method of Laplace transforms, and a modified Kelvin-Voigt model. The work shows that subdividing the tractor-bundle-soil system makes it possible to consider the dynamic effect of the vibrating tractor on the soil and soil's ability to undergo deformation separately. In addition, the study developed individual models for the first subsystem that determine vibration effects on soil caused by an unloaded tractor and two loaded skidding systems using different methods of semi-suspended skidding. The present findings can be used to predict the degree of dynamic soil compaction without conducting direct on-site experiments and thus minimize the negative impact of forestry operations on the local ecosystem. The current data also allow simplifying design models for complex forwarders.

References

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