Theoretical Determination of Changes in Chain Networks Lengths

Turdaliyev Voxidjon Maxsudovich; Akbarov Abdurahmon Iminjon Ogli

doi:doi:10.11648/j.ajma.20251202.13

Research Article |

| Peer-Reviewed

Theoretical Determination of Changes in Chain Networks Lengths

Turdaliyev Voxidjon Maxsudovich

, Akbarov Abdurahmon Iminjon Ogli^*

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

Received: 6 May 2025 Accepted: 16 May 2025 Published: 20 June 2025

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

Abstract

The article presents the results of theoretical studies conducted to determine the change in the length of the free strand of a chain drive with a variable center distance. In the research, the engagement of the chain with the driving and driven sprockets was considered as a 3-vector type, 5-link lever mechanism. During operation, in addition to natural wear in chain drives, elongation and changes in wrap angles due to vibration or oscillation are observed. This, in turn, leads to a decrease in traction capacity and uneven distribution of loads in the chain strands. Therefore, it is important to take into account the free strands of chain drives. The vector contour method is considered convenient for the analytical study of planar mechanisms. For this reason, this method is used in the geometric analysis of the equivalent 5-link lever mechanism. As a result of the conducted theoretical research, an analytical expression was obtained that allows determining the length of the chain strands, and based on its numerical solution, a graph showing the dependence of the chain strand length on the rocker rotation angle was constructed.

Published in	American Journal of Mechanics and Applications (Volume 12, Issue 2)
DOI	10.11648/j.ajma.20251202.13
Page(s)	40-44
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

Chain Drive, Distance Between Axles, Chain Network, Length, Vector, Contour, Angle, Equation, Asterisk

References

[1]	The Complete Guide to Chain. © 1997 by U. S. Tsubaki, Inc. First English- language edition, 1997. ISBN 0-9658932-0-0. P: 240. Djuraev A Dj, and others. Theory of machines and mechanisms. Publishing house named after Gafur Gulam, Toshken-2004.
[2]	Krasnov A. A. Development of the fundamentals of designing systems for transporting threads and fabrics of textile machines as mechanisms with flexible links: Diss. for academic competition step. Doctor of Technical Sciences Ivanova. 2010. 357 p.) J Kh Beknazarov, Sh Sh Kenjabayev, Development of an Effective Resourceving-Saving Design and Methods for Calculating the Parameters of Gears with Compound Wheels 2019.
[3]	Turdaliev V. M. Akbarov. A. I. Olmasov S. A. Calculation of tension in the leading branch of the chain of a chain transmission with a variable center distance.
[4]	Turdaliev V. M. Akbarov. A. I. Olmasov S. A. Study of tension change in the leading branch of the chain of a chain transmission with variable center distance // PROBLEMS OF DEVELOPMENT OF MODERN SOCIETY January 23-24, 2024 ML-08 Vol. 3. - Russia, - P. 392 -396. 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.
[5]	Patent. Res. Uzbek FAP No. 01974. Zanzhirli uzatma V. M. Turdaliev, A. A. Kosimov, A. I. Akbarov, S. R. Komilov. Bulletin No. 6 2022.
[6]	E. Aliev. Development of efficient construction of seed supply drum and justification of parameters. 05.02.03-"Technological machines. Robots, mechatronics and robotics systems" scientific dissertation, Namangan-2025y 148 p.
[7]	Mamakhanov A. A. Development of constructions and calculation methods of belt element-chain transmissions of technological machines: Tech. science. dr. diss. (02.05.02) Namangan, 2021. - 200 p.
[8]	Komilov S. R. Development of construction and calculation method of chain transmission with variable distance between axles. Tex. science. fake doctor. diss. (02.05.02) Namangan, 2022. - 136 p.
[9]	Patent RUz No. FAP 2021 0047. Chain transmission / Turdaliev V., Kasimov A., Akbarov A., Komilov S. 30.06.2022.
[10]	Kasimov A. A. Improvement of toothed belt transmission design and calculation methods. Tex. science. false on dr. diss. autoref. - Namangan, 2020. - 44 p.
[11]	Mukhamedov Z., Turdaliyev V. M., Kosimov A. A. KinematicNonuniformity of the Rotation of a Toothed Belt Transmission with a Composite 118 Pulley // Russian Engineering Research, 2020. – Volume 40. – P. 705–709.
[12]	Kasimov A. A. Improvement of toothed belt transmission design and calculation methods. Tex. science. false on dr. diss. autoref. - Namangan, 2020. - 44 p.
[13]	Shvedov I. A. Povyshenie rabotosposobnosti tsepnyx peredach konstruktorskimi i tekhnologicheskimi metodami // Dissertation kand. technical science -Krasnodar: KGTU, 2004. -241 p.
[14]	Komilov S. R. Development of construction and calculation method of chain transmission with variable distance between axles. Tex. science. fake dr. diss. (02.05.02) Namangan, 2022. - 136 p.
[15]	Gotovtsev A. A., Stoblin G. B., Kotenok I. P. Design of chain drives: Handbook. - M.: Mechanical Engineering, 1973. - 376 p.

Cite This Article

Plain Text BibTeX RIS

APA Style

Maxsudovich, T. V., Ogli, A. A. I. (2025). Theoretical Determination of Changes in Chain Networks Lengths. American Journal of Mechanics and Applications, 12(2), 40-44. https://doi.org/10.11648/j.ajma.20251202.13

Copy | Download

ACS Style

Maxsudovich, T. V.; Ogli, A. A. I. Theoretical Determination of Changes in Chain Networks Lengths. Am. J. Mech. Appl. 2025, 12(2), 40-44. doi: 10.11648/j.ajma.20251202.13

Copy | Download

AMA Style

Maxsudovich TV, Ogli AAI. Theoretical Determination of Changes in Chain Networks Lengths. Am J Mech Appl. 2025;12(2):40-44. doi: 10.11648/j.ajma.20251202.13

Copy | Download

@article{10.11648/j.ajma.20251202.13,
  author = {Turdaliyev Voxidjon Maxsudovich and Akbarov Abdurahmon Iminjon Ogli},
  title = {Theoretical Determination of Changes in Chain Networks Lengths
},
  journal = {American Journal of Mechanics and Applications},
  volume = {12},
  number = {2},
  pages = {40-44},
  doi = {10.11648/j.ajma.20251202.13},
  url = {https://doi.org/10.11648/j.ajma.20251202.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajma.20251202.13},
  abstract = {The article presents the results of theoretical studies conducted to determine the change in the length of the free strand of a chain drive with a variable center distance. In the research, the engagement of the chain with the driving and driven sprockets was considered as a 3-vector type, 5-link lever mechanism. During operation, in addition to natural wear in chain drives, elongation and changes in wrap angles due to vibration or oscillation are observed. This, in turn, leads to a decrease in traction capacity and uneven distribution of loads in the chain strands. Therefore, it is important to take into account the free strands of chain drives. The vector contour method is considered convenient for the analytical study of planar mechanisms. For this reason, this method is used in the geometric analysis of the equivalent 5-link lever mechanism. As a result of the conducted theoretical research, an analytical expression was obtained that allows determining the length of the chain strands, and based on its numerical solution, a graph showing the dependence of the chain strand length on the rocker rotation angle was constructed.
},
 year = {2025}
}

Copy | Download

TY  - JOUR
T1  - Theoretical Determination of Changes in Chain Networks Lengths

AU  - Turdaliyev Voxidjon Maxsudovich
AU  - Akbarov Abdurahmon Iminjon Ogli
Y1  - 2025/06/20
PY  - 2025
N1  - https://doi.org/10.11648/j.ajma.20251202.13
DO  - 10.11648/j.ajma.20251202.13
T2  - American Journal of Mechanics and Applications
JF  - American Journal of Mechanics and Applications
JO  - American Journal of Mechanics and Applications
SP  - 40
EP  - 44
PB  - Science Publishing Group
SN  - 2376-6131
UR  - https://doi.org/10.11648/j.ajma.20251202.13
AB  - The article presents the results of theoretical studies conducted to determine the change in the length of the free strand of a chain drive with a variable center distance. In the research, the engagement of the chain with the driving and driven sprockets was considered as a 3-vector type, 5-link lever mechanism. During operation, in addition to natural wear in chain drives, elongation and changes in wrap angles due to vibration or oscillation are observed. This, in turn, leads to a decrease in traction capacity and uneven distribution of loads in the chain strands. Therefore, it is important to take into account the free strands of chain drives. The vector contour method is considered convenient for the analytical study of planar mechanisms. For this reason, this method is used in the geometric analysis of the equivalent 5-link lever mechanism. As a result of the conducted theoretical research, an analytical expression was obtained that allows determining the length of the chain strands, and based on its numerical solution, a graph showing the dependence of the chain strand length on the rocker rotation angle was constructed.

VL  - 12
IS  - 2
ER  -

Copy | Download

Author Information

Turdaliyev Voxidjon Maxsudovich

The Department of Dean of the Faculty of Transport, Namangan Engineering and Construction Institute, Namangan, Uzbekistan

Contact Email

http://orcid.org/0000-0001-6795-9513
Akbarov Abdurahmon Iminjon Ogli

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

Contact Email

http://orcid.org/0009-0000-3887-9186

Download PDF

Sections

Plain Text BibTeX RIS

APA Style

Maxsudovich, T. V., Ogli, A. A. I. (2025). Theoretical Determination of Changes in Chain Networks Lengths. American Journal of Mechanics and Applications, 12(2), 40-44. https://doi.org/10.11648/j.ajma.20251202.13

Copy | Download

ACS Style

Maxsudovich, T. V.; Ogli, A. A. I. Theoretical Determination of Changes in Chain Networks Lengths. Am. J. Mech. Appl. 2025, 12(2), 40-44. doi: 10.11648/j.ajma.20251202.13

Copy | Download

AMA Style

Maxsudovich TV, Ogli AAI. Theoretical Determination of Changes in Chain Networks Lengths. Am J Mech Appl. 2025;12(2):40-44. doi: 10.11648/j.ajma.20251202.13

Copy | Download

@article{10.11648/j.ajma.20251202.13,
  author = {Turdaliyev Voxidjon Maxsudovich and Akbarov Abdurahmon Iminjon Ogli},
  title = {Theoretical Determination of Changes in Chain Networks Lengths
},
  journal = {American Journal of Mechanics and Applications},
  volume = {12},
  number = {2},
  pages = {40-44},
  doi = {10.11648/j.ajma.20251202.13},
  url = {https://doi.org/10.11648/j.ajma.20251202.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajma.20251202.13},
  abstract = {The article presents the results of theoretical studies conducted to determine the change in the length of the free strand of a chain drive with a variable center distance. In the research, the engagement of the chain with the driving and driven sprockets was considered as a 3-vector type, 5-link lever mechanism. During operation, in addition to natural wear in chain drives, elongation and changes in wrap angles due to vibration or oscillation are observed. This, in turn, leads to a decrease in traction capacity and uneven distribution of loads in the chain strands. Therefore, it is important to take into account the free strands of chain drives. The vector contour method is considered convenient for the analytical study of planar mechanisms. For this reason, this method is used in the geometric analysis of the equivalent 5-link lever mechanism. As a result of the conducted theoretical research, an analytical expression was obtained that allows determining the length of the chain strands, and based on its numerical solution, a graph showing the dependence of the chain strand length on the rocker rotation angle was constructed.
},
 year = {2025}
}

Copy | Download

TY  - JOUR
T1  - Theoretical Determination of Changes in Chain Networks Lengths

AU  - Turdaliyev Voxidjon Maxsudovich
AU  - Akbarov Abdurahmon Iminjon Ogli
Y1  - 2025/06/20
PY  - 2025
N1  - https://doi.org/10.11648/j.ajma.20251202.13
DO  - 10.11648/j.ajma.20251202.13
T2  - American Journal of Mechanics and Applications
JF  - American Journal of Mechanics and Applications
JO  - American Journal of Mechanics and Applications
SP  - 40
EP  - 44
PB  - Science Publishing Group
SN  - 2376-6131
UR  - https://doi.org/10.11648/j.ajma.20251202.13
AB  - The article presents the results of theoretical studies conducted to determine the change in the length of the free strand of a chain drive with a variable center distance. In the research, the engagement of the chain with the driving and driven sprockets was considered as a 3-vector type, 5-link lever mechanism. During operation, in addition to natural wear in chain drives, elongation and changes in wrap angles due to vibration or oscillation are observed. This, in turn, leads to a decrease in traction capacity and uneven distribution of loads in the chain strands. Therefore, it is important to take into account the free strands of chain drives. The vector contour method is considered convenient for the analytical study of planar mechanisms. For this reason, this method is used in the geometric analysis of the equivalent 5-link lever mechanism. As a result of the conducted theoretical research, an analytical expression was obtained that allows determining the length of the chain strands, and based on its numerical solution, a graph showing the dependence of the chain strand length on the rocker rotation angle was constructed.

VL  - 12
IS  - 2
ER  -

Copy | Download