Constructing a model of the axis form in a S-shaped riser of a cultivator paw
DOI:
https://doi.org/10.15587/1729-4061.2024.311404Keywords:
tillage, working body, elastic axis, circle arc, moment of forceAbstract
When cultivating the soil, a force of resistance to the movement of cultivator paw acts on it. It has a variable value and causes a moment of force applied to the riser of the paw. Under the action of the moment, the elastic axis of the riser changes its shape. This affects the position of the paw in the soil. The form of an S-shaped riser whose elastic axis consists of two circle arcs has been considered in this study. During cultivator operation, one part of the riser bends, increasing the curvature of the elastic axis, and the other, on the contrary, unbends, that is, its curvature decreases.
The modeling of the shape of the elastic axis of the paw riser is based on the theory of resistance of materials, according to which the curvature of the elastic axis of the cantilevered band is directly proportional to the applied moment and inversely proportional to its stiffness. If the shape of the cross-section of the riser along its entire length is unchanged and the properties of the metal are also the same, then the stiffness is constant. In the case of small deflections of the band, the linear theory of bending is used, but the deflections in the riser are significant, so the nonlinear theory has been used for this case. At the same time, it is taken into account that the elastic axis of the riser already has an initial curvature, the sign of which changes after passing through the point of connection of the component arcs.
To model the shape of the elastic axis of the S-shaped paw riser, the deformation of the arcs of the circles that form this paw was calculated separately. Numerical integration methods were used to find the shape of the deformed elastic axes of both parts of the riser. They were connected into a whole and a deformed elastic axis of the S-shaped riser was obtained. Two variants of the riser with different lengths of their elastic axis, but the same height and the same angle of entry into the soil, were considered. The combination of the component arcs of the riser shows that, under the action of the same force, the deviation from the specified movement depth for one riser is 2 cm, and for the other – 4 cm.
References
- Zhang, X., Hu, J., Chen, S. (2023). Study on Stability of Elastic Compression Bending Bar in Viscoelastic Medium. Applied Sciences, 13 (19), 11111. https://doi.org/10.3390/app131911111
- Pylypaka, S., Hropost, V., Kresan, T., Volina, T., Vasyliuk, V. (2023). The Form of a Spiral Spring in a Free State. Lecture Notes in Mechanical Engineering, 509–517. https://doi.org/10.1007/978-3-031-42778-7_47
- Buslаiev, D. O., Vаsylenko, M. O. (2020). Traction resistance of cultivator paws with surface hardening during operation of tillage machines. Machinery & Energetics, 11 (1), 177–182. https://doi.org/10.31548/machenergy2020.01.177
- Mudarisov, S. G., Gabitov, I. I., Lobachevsky, Y. P., Mazitov, N. K., Rakhimov, R. S., Khamaletdinov, R. R. et al. (2019). Modeling the technological process of tillage. Soil and Tillage Research, 190, 70–77. https://doi.org/10.1016/j.still.2018.12.004
- Kobets, A., Aliiev, E., Tesliuk, H., Aliieva, O. (2023). Simulation of the process of interaction of the working bodies of tillage machines with the soil in Simcenter STAR-CCM+. Machinery & Energetics, 14 (1), 9–23. https://doi.org/10.31548/machinery/1.2023.09
- Sereda, L. P., Kovalchuk, D. A. (2021). Mathematical modeling soil tilling unit in the system "soil-aggregate-energy means" for strip-till technology soil treatment. Machinery & Energetics, 12 (4), 103–108. https://doi.org/10.31548/machenergy2021.04.103
- Kobets, A. S., Pugach, A. M., Kharytonov, M. M. (2018). Justification of the cultivator sweep and strengthening elements on the working surface. INMATEG Agricultural Engineering, 54 (1), 161–170.
- Budzanivskyi, M. (2022). Mathematical modelling of oscillations of a machine for cutting tops of root crops. Machinery & Energetics, 13 (4), 16–27. https://doi.org/10.31548/machenergy.13(4).2022.16-27
- Banniy, O., Popyk, P., Savko, D. (2022). Failure analysis of the segment finger bar mower and force interaction of the blade segment with the plant stem. Machinery & Energetics, 13 (3), 17–24. https://doi.org/10.31548/machenergy.13(3).2022.17-24
- Borak, K. V. (2020). Improvement of total running time and wear resistance of tillage tools. Machinery & Energetics, 11 (3), 67–73. https://doi.org/10.31548/machenergy2020.03.067
- Paladiychuk, Yu., Melnik, Ju. (2021). Restoration resource of working bodies of soil treatment machines by applying wear-resistant coatings. Machinery & Energetics, 12 (4), 43–52. https://doi.org/10.31548/machenergy2021.04.043
- Vаsylenko, M. O., Buslаiev, D. O. (2020). Mathematical models for predicting weight and linear wear from resource indicators serial and hardened by combined method of cultivator paws. Machinery & Energetics, 11 (2), 29–33. https://doi.org/10.31548/machenergy2020.02.029
- Kozachenko, O. V., Siedykh, K. V. (2020). Dynamic model of process of deformation of elastic rack of disk cultivator. Machinery & Energetics, 11 (3), 31–39. https://doi.org/10.31548/machenergy2020.03.031
- Stiyka kultyvatora W-1417000030/1. Available at: https://prom.ua/ua/p867775419-stojka-kultivatora-14170000301.html
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Serhii Pylypaka, Vyacheslav Hropost, Tetiana Volina, Mykhailo Kalenyk, Zinovii Ruzhilo, Serhii Dieniezhnikov, Nataliia Tarelnyk, Oleksandr Tatsenko, Svetlana Semirnenko, Svetlana Motsak
This work is licensed under a Creative Commons Attribution 4.0 International License.
The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.
A license agreement is a document in which the author warrants that he/she owns all copyright for the work (manuscript, article, etc.).
The authors, signing the License Agreement with TECHNOLOGY CENTER PC, have all rights to the further use of their work, provided that they link to our edition in which the work was published.
According to the terms of the License Agreement, the Publisher TECHNOLOGY CENTER PC does not take away your copyrights and receives permission from the authors to use and dissemination of the publication through the world's scientific resources (own electronic resources, scientometric databases, repositories, libraries, etc.).
In the absence of a signed License Agreement or in the absence of this agreement of identifiers allowing to identify the identity of the author, the editors have no right to work with the manuscript.
It is important to remember that there is another type of agreement between authors and publishers – when copyright is transferred from the authors to the publisher. In this case, the authors lose ownership of their work and may not use it in any way.
