Determination of Forces Acting on a Helical Gear Transmission with an Elastic Element

Anvar Djuraev; Dilshod Abduvakhobov; Davron Khabibullaev

doi:doi:10.11648/j.ajma.20251202.12

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Determination of Forces Acting on a Helical Gear Transmission with an Elastic Element

Anvar Djuraev

, Dilshod Abduvakhobov

, Davron Khabibullaev^*

Published in American Journal of Mechanics and Applications (Volume 12, Issue 2)

Received: 18 April 2025 Accepted: 27 April 2025 Published: 29 May 2025

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Abstract

This paper presents a theoretical analysis of the forces acting on a helical gear transmission with an elastic element. The research investigates the effects of elastic deformation on the load distribution within the gear system, focusing on the influence of the elastic component on axial, radial, and tangential forces. The study employs mathematical models that account for the complex interactions between the helical gears and the elastic element, aiming to optimize the force transmission and enhance the system’s efficiency. Key findings reveal that introducing an elastic element in the helical gear transmission can significantly reduce impact loads, leading to improved durability and operational lifespan of the system. Additionally, the research identifies optimal ranges for the stiffness coefficient of the elastic component, ensuring effective load amortization and minimizing the risk of excessive wear or failure. The proposed model provides a comprehensive understanding of how elastic deformation influences the performance of helical gear systems, particularly under varying loads and operational conditions. The results presented offer valuable insights for the design and optimization of gear mechanisms in engineering applications where durability and efficiency are critical. These findings contribute to the broader field of mechanical transmission systems, particularly in applications where gear longevity and reliability are essential.

Published in	American Journal of Mechanics and Applications (Volume 12, Issue 2)
DOI	10.11648/j.ajma.20251202.12
Page(s)	33-39
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2025. Published by Science Publishing Group

Keywords

Helical Gear Transmission, Elastic Element, Force Analysis, Torque Distribution, Stiffness Coefficient, Deformation, Gear Meshing, Load Reduction, Mechanical Efficiency

References

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[2]	Djuraev A Dj, and others. Theory of machines and mechanisms. Publishing house named after Gafur Gulam, Toshken-2004.
[3]	Rivin E I, Dynamics of machine tool drives, Mechanical Engineering, 1966., 204 p.
[4]	J Kh Beknazarov, Sh Sh Kenjabayev, Development of an Effective Resourceving-Saving Desing and Methods for Calculating the Parameters of Gears with Compound Wheels 2019.
[5]	Sh Kenzhabaev, Development of structural schemes and scientific basis for analysis of lever mechanisms with elastic elements and flexible links. Drive links of technological machines Namangan 2019, 268.
[6]	Abduvakhobov, D. A., Khabibullaev, D. K., Makhsudov, A. P., Mukhammajonov, K. O., & Mirzaabdullayev, M. M. (2022). A New Method for Determining the Stability Indicators of the Depth of Soil Tillage. Scientific and Technical Progress as a Mechanism for the Development of Modern Society, 81-84.
[7]	Dj, D. A., Abduvakhobov, D. A., Khabibullaev, D. H., & Gofurjanov, I. I. (2023). Helical Cylindrical Gear with Elastic Elements. Doctrines, Schools, and Concepts of Sustainable Development of Science in Modern Conditions, 163.
[8]	Djuraev, A. D., Abduvakhobov, D. A., & Khabibullaev, D. H. (2023). Gear Transmission with Elastic Elements. Mechanics and Technology, 2(11), 32-35.
[9]	Djuraev, A. D., Abduvakhobov, D. A., Khabibullaev, D. H., & Ulmasov, S. A. (2023, December). Calculation of the Deformation Values of the Ammortizer in the Compound Angle Gear Transmission. IOP Conference Series: Earth and Environmental Science (Vol. 1284, No. 1, p. 012033). IOP Publishing. https://doi.org/10.1088/1755-1315/1284/1/012033
[10]	Helical Cylindrical Gear Transmission. Utility Model Patent of the Republic of Uzbekistan, Ministry of Justice. Patent No. FAP 2420.
[11]	Djuraev A., Yuuldoshev K., Teshaboyev O. Analysis of the Dynamics of a Single-Mass Machine Unit of a Screw Conveyor. Machine Engineering Scientific Journal, Andijan. 2022, pp. 277-282.
[12]	Mamasoliyeva, S. X., & Abduvahobov, D. A. (2021, March). Analysis Of Reduced Vibration In Geared Mechanisms. In Science in modern society: regularities and development trends: Collection of articles following the results of the International Scientific and Practical Conference (p. 49).
[13]	Abdurakhmonov, S., Abdurahmanov, I., Murodova, D., Pardaboyev, A., Mirjalolov, N., & Djurayev, A. (2020). Development of demographic mapping method based on GIS technologies. ИнтерКарто. ИнтерГИС, 26(1), 319-328. https://doi.org/10.35595/2414-9179-2020-1-26-319-328
[14]	Bolat, B., & Bogoclu, M. E. (2012). Increasing of screw conveyor capacity. Journal of Trends in The Development of Machinery and Associated Technology, 16(1), 207-210.
[15]	Djurayev, A., Davidbayev, B. N., & Jurayev, N. N. (2022). Scientific basis of the design and parameter calculation of the construction and parameters of a double-inlet and wavy surface resource controller screw conveyor for spillable materials. Global Book Publishing Services, 1-113.

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APA Style

Djuraev, A., Abduvakhobov, D., Khabibullaev, D. (2025). Determination of Forces Acting on a Helical Gear Transmission with an Elastic Element. American Journal of Mechanics and Applications, 12(2), 33-39. https://doi.org/10.11648/j.ajma.20251202.12

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ACS Style

Djuraev, A.; Abduvakhobov, D.; Khabibullaev, D. Determination of Forces Acting on a Helical Gear Transmission with an Elastic Element. Am. J. Mech. Appl. 2025, 12(2), 33-39. doi: 10.11648/j.ajma.20251202.12

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AMA Style

Djuraev A, Abduvakhobov D, Khabibullaev D. Determination of Forces Acting on a Helical Gear Transmission with an Elastic Element. Am J Mech Appl. 2025;12(2):33-39. doi: 10.11648/j.ajma.20251202.12

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@article{10.11648/j.ajma.20251202.12,
  author = {Anvar Djuraev and Dilshod Abduvakhobov and Davron Khabibullaev},
  title = {Determination of Forces Acting on a Helical Gear Transmission with an Elastic Element
},
  journal = {American Journal of Mechanics and Applications},
  volume = {12},
  number = {2},
  pages = {33-39},
  doi = {10.11648/j.ajma.20251202.12},
  url = {https://doi.org/10.11648/j.ajma.20251202.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajma.20251202.12},
  abstract = {This paper presents a theoretical analysis of the forces acting on a helical gear transmission with an elastic element. The research investigates the effects of elastic deformation on the load distribution within the gear system, focusing on the influence of the elastic component on axial, radial, and tangential forces. The study employs mathematical models that account for the complex interactions between the helical gears and the elastic element, aiming to optimize the force transmission and enhance the system’s efficiency. Key findings reveal that introducing an elastic element in the helical gear transmission can significantly reduce impact loads, leading to improved durability and operational lifespan of the system. Additionally, the research identifies optimal ranges for the stiffness coefficient of the elastic component, ensuring effective load amortization and minimizing the risk of excessive wear or failure. The proposed model provides a comprehensive understanding of how elastic deformation influences the performance of helical gear systems, particularly under varying loads and operational conditions. The results presented offer valuable insights for the design and optimization of gear mechanisms in engineering applications where durability and efficiency are critical. These findings contribute to the broader field of mechanical transmission systems, particularly in applications where gear longevity and reliability are essential.
},
 year = {2025}
}

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TY  - JOUR
T1  - Determination of Forces Acting on a Helical Gear Transmission with an Elastic Element

AU  - Anvar Djuraev
AU  - Dilshod Abduvakhobov
AU  - Davron Khabibullaev
Y1  - 2025/05/29
PY  - 2025
N1  - https://doi.org/10.11648/j.ajma.20251202.12
DO  - 10.11648/j.ajma.20251202.12
T2  - American Journal of Mechanics and Applications
JF  - American Journal of Mechanics and Applications
JO  - American Journal of Mechanics and Applications
SP  - 33
EP  - 39
PB  - Science Publishing Group
SN  - 2376-6131
UR  - https://doi.org/10.11648/j.ajma.20251202.12
AB  - This paper presents a theoretical analysis of the forces acting on a helical gear transmission with an elastic element. The research investigates the effects of elastic deformation on the load distribution within the gear system, focusing on the influence of the elastic component on axial, radial, and tangential forces. The study employs mathematical models that account for the complex interactions between the helical gears and the elastic element, aiming to optimize the force transmission and enhance the system’s efficiency. Key findings reveal that introducing an elastic element in the helical gear transmission can significantly reduce impact loads, leading to improved durability and operational lifespan of the system. Additionally, the research identifies optimal ranges for the stiffness coefficient of the elastic component, ensuring effective load amortization and minimizing the risk of excessive wear or failure. The proposed model provides a comprehensive understanding of how elastic deformation influences the performance of helical gear systems, particularly under varying loads and operational conditions. The results presented offer valuable insights for the design and optimization of gear mechanisms in engineering applications where durability and efficiency are critical. These findings contribute to the broader field of mechanical transmission systems, particularly in applications where gear longevity and reliability are essential.

VL  - 12
IS  - 2
ER  -

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Author Information

Anvar Djuraev

The Department of "Labor Protection and Ecology, Tashkent Institute of Textile and Light Industry, Tashkent, Uzbekistan

Contact Email

http://orcid.org/0009-0005-0231-1966
Dilshod Abduvakhobov

The Department of Mechanics, Namangan Engineering and Construction Institute, Namangan, Uzbekistan

Contact Email

http://orcid.org/0000-0002-6551-1931
Davron Khabibullaev

The Department of Mechanics, Namangan Engineering and Construction Institute, Namangan, Uzbekistan

Contact Email

http://orcid.org/0000-0002-8952-6580

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Plain Text BibTeX RIS

APA Style

Djuraev, A., Abduvakhobov, D., Khabibullaev, D. (2025). Determination of Forces Acting on a Helical Gear Transmission with an Elastic Element. American Journal of Mechanics and Applications, 12(2), 33-39. https://doi.org/10.11648/j.ajma.20251202.12

Copy | Download

ACS Style

Djuraev, A.; Abduvakhobov, D.; Khabibullaev, D. Determination of Forces Acting on a Helical Gear Transmission with an Elastic Element. Am. J. Mech. Appl. 2025, 12(2), 33-39. doi: 10.11648/j.ajma.20251202.12

Copy | Download

AMA Style

Djuraev A, Abduvakhobov D, Khabibullaev D. Determination of Forces Acting on a Helical Gear Transmission with an Elastic Element. Am J Mech Appl. 2025;12(2):33-39. doi: 10.11648/j.ajma.20251202.12

Copy | Download

@article{10.11648/j.ajma.20251202.12,
  author = {Anvar Djuraev and Dilshod Abduvakhobov and Davron Khabibullaev},
  title = {Determination of Forces Acting on a Helical Gear Transmission with an Elastic Element
},
  journal = {American Journal of Mechanics and Applications},
  volume = {12},
  number = {2},
  pages = {33-39},
  doi = {10.11648/j.ajma.20251202.12},
  url = {https://doi.org/10.11648/j.ajma.20251202.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajma.20251202.12},
  abstract = {This paper presents a theoretical analysis of the forces acting on a helical gear transmission with an elastic element. The research investigates the effects of elastic deformation on the load distribution within the gear system, focusing on the influence of the elastic component on axial, radial, and tangential forces. The study employs mathematical models that account for the complex interactions between the helical gears and the elastic element, aiming to optimize the force transmission and enhance the system’s efficiency. Key findings reveal that introducing an elastic element in the helical gear transmission can significantly reduce impact loads, leading to improved durability and operational lifespan of the system. Additionally, the research identifies optimal ranges for the stiffness coefficient of the elastic component, ensuring effective load amortization and minimizing the risk of excessive wear or failure. The proposed model provides a comprehensive understanding of how elastic deformation influences the performance of helical gear systems, particularly under varying loads and operational conditions. The results presented offer valuable insights for the design and optimization of gear mechanisms in engineering applications where durability and efficiency are critical. These findings contribute to the broader field of mechanical transmission systems, particularly in applications where gear longevity and reliability are essential.
},
 year = {2025}
}

Copy | Download

TY  - JOUR
T1  - Determination of Forces Acting on a Helical Gear Transmission with an Elastic Element

AU  - Anvar Djuraev
AU  - Dilshod Abduvakhobov
AU  - Davron Khabibullaev
Y1  - 2025/05/29
PY  - 2025
N1  - https://doi.org/10.11648/j.ajma.20251202.12
DO  - 10.11648/j.ajma.20251202.12
T2  - American Journal of Mechanics and Applications
JF  - American Journal of Mechanics and Applications
JO  - American Journal of Mechanics and Applications
SP  - 33
EP  - 39
PB  - Science Publishing Group
SN  - 2376-6131
UR  - https://doi.org/10.11648/j.ajma.20251202.12
AB  - This paper presents a theoretical analysis of the forces acting on a helical gear transmission with an elastic element. The research investigates the effects of elastic deformation on the load distribution within the gear system, focusing on the influence of the elastic component on axial, radial, and tangential forces. The study employs mathematical models that account for the complex interactions between the helical gears and the elastic element, aiming to optimize the force transmission and enhance the system’s efficiency. Key findings reveal that introducing an elastic element in the helical gear transmission can significantly reduce impact loads, leading to improved durability and operational lifespan of the system. Additionally, the research identifies optimal ranges for the stiffness coefficient of the elastic component, ensuring effective load amortization and minimizing the risk of excessive wear or failure. The proposed model provides a comprehensive understanding of how elastic deformation influences the performance of helical gear systems, particularly under varying loads and operational conditions. The results presented offer valuable insights for the design and optimization of gear mechanisms in engineering applications where durability and efficiency are critical. These findings contribute to the broader field of mechanical transmission systems, particularly in applications where gear longevity and reliability are essential.

VL  - 12
IS  - 2
ER  -

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