Mathematical model and methodology of express assessment crisis-deformed state of the machine frame for the care of forest crops

Leonid Bukhtoyarov; Maksim Gnusov; Mikhail N. Lysych

doi:10.34220/issn.2222-7962/2025.3/13

UDC 630

MATHEMATICAL MODEL AND METHODOLOGY OF EXPRESS ASSESSMENT CRISIS-DEFORMED STATE OF THE MACHINE FRAME FOR THE CARE OF FOREST CROPS Mathematical model and methodology of express assessment crisis-deformed state of the machine frame for the care of forest crops

АА Аа

Published in Forestry Engineering Journal · Volume 15, Issue 3 · Pages 201–216 · Rubric: TECHNOLOGIES. MACHINERY AND EQUIPMENT

DOI: https://doi.org/10.34220/issn.2222-7962/2025.3/13

Received: 02.06.2025 Accepted: 15.09.2025 Published: 25.09.2025

Authors

Leonid Bukhtoyarov

Maksim Gnusov

Mikhail N. Lysych

Leonid Bukhtoyarov

Academic degree: candidate of technical sciences

Voronezh State University of Forestry and Technologies named after G.F. Morozov docent · kafedra lesnoy promyshlennosti, metrologii, standartizacii i sertifikacii · Voronezh

Maksim Gnusov

Voronezhskiy gosudarstvennyy lesotehnicheskiy universitet imeni G.F. Morozova Nauchnyy sotrudnik · Russian Federation · Воронеж

Mikhail N. Lysych

Academic degree: candidate of technical sciences

Voronezh State University of Forestry and Technologies named after G.F. Morozov starshiy prepodavatel' · kafedra lesnoy promyshlennosti, metrologii, standartizacii i sertifikacii · Voronezh

ABSTRACT

In the development of forestry machines and tools, the finite element method (FEM) is actively used to calcu-late the effect of external loads on the strength and frequency characteristics of structures. As a rule, expensive com-mercial software packages ANSYS, LS-DYNA, etc. are used for this. At the early stages of design, checking unsatisfac-tory solutions with complex software packages is not advisable. The authors have developed a method for expressly assessing the stress-strain state (SSS) of tested brush cutter designs, working directly with a geometric model created in a computer-aided design (CAD) system and allowing the engineer to obtain strength and rigidity indicators that are im-portant for the technological process. The proposed method includes: import of a CAD model in STL format; voxeliza-tion and construction of a regular HEX8 grid with a controlled step h; setting Dirichlet conditions in the embedment zone and the equivalent Neumann load through the distributed pressure on the loaded areas; assembly and solution of a linear elastic problem; calculation of stress fields and von Mises equivalent stresses, as well as assessment of maxi-mum displacements; export of results for subsequent analysis. The express method is demonstrated using a brush cut-ter beam as an example. It was found that under the given loads F=3000 N, the maximum stress in the beam L=500, 40x40x3 mm was 268 MPa, and the yield strength was 220 MPa. The method allows to reject this beam and replace it with a new one, with parameters L=500, 80x80x3 mm, the resulting stress was 58.3 MPa. Thus, the unsatisfactory op-tion was excluded even before the difficult multiphysical calculations.. The presented method is intended for prelimi-nary rejection of weak solutions to reduce the cost of further development of forestry machines. The scope of applica-tion is large-sized mechanical units of forestry machines and tools.

KEYWORDS

brush cutter, care of forest crops, forestry machines, methodology, mathematical modeling, finite element method (FEM), computer-aided design systems (CAD).

Funding

Mathematical model and methodology of express assessment crisis-deformed state of the machine frame for the care of forest crops

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GOST

Bukhtoyarov L. D., Gnusov M. A., Lysych M. N. Mathematical model and methodology of express assessment crisis-deformed state of the machine frame for the care of forest crops // Forestry Engineering Journal. 2025. no. 3. pp. 201-216. DOI: https://doi.org/10.34220/issn.2222-7962/2025.3/13. (Date of access 29.10.2026).

MLA

Leonid Bukhtoyarov, Gnusov M. A., Lysych M. N.. "Mathematical model and methodology of express assessment crisis-deformed state of the machine frame for the care of forest crops." Forestry Engineering Journal 15.3 (2025): 201-216. DOI: https://doi.org/10.34220/issn.2222-7962/2025.3/13.

APA

Bukhtoyarov L. D., Gnusov M. A., Lysych M. N. (2025). Mathematical model and methodology of express assessment crisis-deformed state of the machine frame for the care of forest crops. Forestry Engineering Journal, 15(3), 201-216. https://doi.org/10.34220/issn.2222-7962/2025.3/13

Chicago

Leonid Bukhtoyarov, Gnusov M. A., Lysych M. N.. "Mathematical model and methodology of express assessment crisis-deformed state of the machine frame for the care of forest crops." Forestry Engineering Journal 15, no. 3 (2025): 201-216. https://doi.org/10.34220/issn.2222-7962/2025.3/13.

WIKI

{{cite journal | author = Bukhtoyarov L. D., Gnusov M. A., Lysych M. N. | title = Mathematical model and methodology of express assessment crisis-deformed state of the machine frame for the care of forest crops | journal = Forestry Engineering Journal | year = 2025 | volume = 15 | issue = 3 | pages = 201-216 | doi = 10.34220/issn.2222-7962/2025.3/13 }}

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MATHEMATICAL MODEL AND METHODOLOGY OF EXPRESS ASSESSMENT CRISIS-DEFORMED STATE OF THE MACHINE FRAME FOR THE CARE OF FOREST CROPS Mathematical model and methodology of express assessment crisis-deformed state of the machine frame for the care of forest crops

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