On Some Problems of Synthesis of Spatial Five-Bar Hinged Mechanisms with Two Degrees of Freedom

Nodar Davitashvili; Otar Gelashvili

doi:doi:10.11648/j.ijmea.20140206.14

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On Some Problems of Synthesis of Spatial Five-Bar Hinged Mechanisms with Two Degrees of Freedom

Nodar Davitashvili, Otar Gelashvili

Published in International Journal of Mechanical Engineering and Applications (Volume 2, Issue 6)

Received: 24 November 2014 Accepted: 7 December 2014 Published: 18 December 2014

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Abstract

Solution of the problems of synthesis of spatial five-bar hinged mechanisms with two degrees of freedom task considering the angle of transmission and definition of conditions of existence of cranks is given in the paper. A possibility of movement of the designed mechanism without seizure that is depended on shape and sizes of the mechanism links is envisaged. At solution of the problem of synthesis first are determined sizes of the mechanism couples considering the angle of transmission and then are determined the limits of variation of the angle of transmission depending on sizes of the mechanism links. The conditions are ascertained which must be met by sizes of the spatial five-bar mechanism links so that the two links adjoining to the frame are crank (theorem on existence of cranks in the spatial five-bar mechanism).

Published in	International Journal of Mechanical Engineering and Applications (Volume 2, Issue 6)
DOI	10.11648/j.ijmea.20140206.14
Page(s)	104-110
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), 2024. Published by Science Publishing Group

Keywords

Synthesis, Angle of Transmission, Spatial Five-Bar Mechanism, Coupler, Conditions of Existence of Crank

References

[1]	G. Eason, B. Noble, and I. N. Sneddon, “On certain integrals of Lipschitz-Hankel type involving products of Bessel functions,” Phil. Trans. Roy. Soc. London, vol. A247, pp. 529–551, April 1955. (references)
[2]	J. Clerk Maxwell, A Treatise on Electricity and Magnetism, 3rd ed., vol. 2. Oxford: Clarendon, 1892, pp.68–73.
[3]	A. G. Ovakimov, “Task on positions of spatial mechanisms with several degree of freedom and its solution by closed vector contour method” in Mechanics of Machines, issue 29-23, Moscow: Nauka, 1971, pp. 61–75. (In Russian).
[4]	J. Duffy, H.Y. Habib-Olahi, “A displacement analysis of spatial five-link BR-2C mechanism . 1. On the clousers of the RCRCR mechanism” in Journal of Mechanics, vol. 5, № 3, 1971, pp. 289-301.
[5]	J. Duffy, “A derivation of dual displacement equations for five-size-and seven-link spatial mechanism using spherical trigonometry. 3. Deviation of dual equations for seven-link spatial mechanism s” Rev. roum. sci. techn. Scr. mech. appl. vol. 17, 1972, № 2, pp. 291-317.
[6]	N.S. Davitashvili, “Influence of parameters of five-bar hinged mechanism on trajectory of coupler’s points,” Transactions of Academy of Sciences of GSSR, vol. 86, 1977, № 2, pp. 412–420, (In Russian).
[7]	N.S. Davitashvili, “Issues of kinematics and precision of five-bar hinged mechanism” Fifth World congress on Theory of Machines and Mechanisms, vol. 1, 1979, Canada, Motreal, July 8-13, pp. 557-561.
[8]	N.S. Davitashvili, “Fundamentals of the theory of synthesis, analysis and precision of linkage-lever mechanisms”, Tbilisi: Technical University, 1999. –388 p. (In Russian).
[9]	N.S. Davitashvili, “Theoretical fundamentals of error and precision of hinged mechanisms with two degrees of freedom”, Tbilisi: Metsniereba, 2000. –286 p. (In Russian).
[10]	N.S. Davitashvili, “Dynamic investigation of plane five-link hinged mechanism with two degrees of freedom “,Tbilisi: Georgian Committee of IFToMM, 2006. – 196 p. (In Russian).
[11]	N. Davitashvili, O. Gelashvili, “Synthesis of a spatial five-link mechanism with two degrees of freedom according to the given laws of Motion, in Proceedings of EUCOMES 08, the second European Congress on Mechanism Science, Springer, pp. 159-166.

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APA Style

Nodar Davitashvili, Otar Gelashvili. (2014). On Some Problems of Synthesis of Spatial Five-Bar Hinged Mechanisms with Two Degrees of Freedom. International Journal of Mechanical Engineering and Applications, 2(6), 104-110. https://doi.org/10.11648/j.ijmea.20140206.14

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ACS Style

Nodar Davitashvili; Otar Gelashvili. On Some Problems of Synthesis of Spatial Five-Bar Hinged Mechanisms with Two Degrees of Freedom. Int. J. Mech. Eng. Appl. 2014, 2(6), 104-110. doi: 10.11648/j.ijmea.20140206.14

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AMA Style

Nodar Davitashvili, Otar Gelashvili. On Some Problems of Synthesis of Spatial Five-Bar Hinged Mechanisms with Two Degrees of Freedom. Int J Mech Eng Appl. 2014;2(6):104-110. doi: 10.11648/j.ijmea.20140206.14

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@article{10.11648/j.ijmea.20140206.14,
  author = {Nodar Davitashvili and Otar Gelashvili},
  title = {On Some Problems of Synthesis of Spatial Five-Bar Hinged Mechanisms with Two Degrees of Freedom},
  journal = {International Journal of Mechanical Engineering and Applications},
  volume = {2},
  number = {6},
  pages = {104-110},
  doi = {10.11648/j.ijmea.20140206.14},
  url = {https://doi.org/10.11648/j.ijmea.20140206.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmea.20140206.14},
  abstract = {Solution of the problems of synthesis of spatial five-bar hinged mechanisms with two degrees of freedom task considering the angle of transmission and definition of conditions of existence of cranks is given in the paper. A possibility of movement of the designed mechanism without seizure that is depended on shape and sizes of the mechanism links is envisaged. At solution of the problem of synthesis first are determined sizes of the mechanism couples considering the angle of transmission and then are determined the limits of variation of the angle of transmission depending on sizes of the mechanism links. The conditions are ascertained which must be met by sizes of the spatial five-bar mechanism links so that the two links adjoining to the frame are crank (theorem on existence of cranks in the spatial five-bar mechanism).},
 year = {2014}
}

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TY  - JOUR
T1  - On Some Problems of Synthesis of Spatial Five-Bar Hinged Mechanisms with Two Degrees of Freedom
AU  - Nodar Davitashvili
AU  - Otar Gelashvili
Y1  - 2014/12/18
PY  - 2014
N1  - https://doi.org/10.11648/j.ijmea.20140206.14
DO  - 10.11648/j.ijmea.20140206.14
T2  - International Journal of Mechanical Engineering and Applications
JF  - International Journal of Mechanical Engineering and Applications
JO  - International Journal of Mechanical Engineering and Applications
SP  - 104
EP  - 110
PB  - Science Publishing Group
SN  - 2330-0248
UR  - https://doi.org/10.11648/j.ijmea.20140206.14
AB  - Solution of the problems of synthesis of spatial five-bar hinged mechanisms with two degrees of freedom task considering the angle of transmission and definition of conditions of existence of cranks is given in the paper. A possibility of movement of the designed mechanism without seizure that is depended on shape and sizes of the mechanism links is envisaged. At solution of the problem of synthesis first are determined sizes of the mechanism couples considering the angle of transmission and then are determined the limits of variation of the angle of transmission depending on sizes of the mechanism links. The conditions are ascertained which must be met by sizes of the spatial five-bar mechanism links so that the two links adjoining to the frame are crank (theorem on existence of cranks in the spatial five-bar mechanism).
VL  - 2
IS  - 6
ER  -

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Author Information

Nodar Davitashvili

Department of Transport and Mechanical Engineering of Georgian Technical University, Tbilisi, Georgia
Otar Gelashvili

Department of Transport and Mechanical Engineering of Georgian Technical University, Tbilisi, Georgia

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APA Style

Nodar Davitashvili, Otar Gelashvili. (2014). On Some Problems of Synthesis of Spatial Five-Bar Hinged Mechanisms with Two Degrees of Freedom. International Journal of Mechanical Engineering and Applications, 2(6), 104-110. https://doi.org/10.11648/j.ijmea.20140206.14

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ACS Style

Nodar Davitashvili; Otar Gelashvili. On Some Problems of Synthesis of Spatial Five-Bar Hinged Mechanisms with Two Degrees of Freedom. Int. J. Mech. Eng. Appl. 2014, 2(6), 104-110. doi: 10.11648/j.ijmea.20140206.14

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AMA Style

Nodar Davitashvili, Otar Gelashvili. On Some Problems of Synthesis of Spatial Five-Bar Hinged Mechanisms with Two Degrees of Freedom. Int J Mech Eng Appl. 2014;2(6):104-110. doi: 10.11648/j.ijmea.20140206.14

Copy | Download

@article{10.11648/j.ijmea.20140206.14,
  author = {Nodar Davitashvili and Otar Gelashvili},
  title = {On Some Problems of Synthesis of Spatial Five-Bar Hinged Mechanisms with Two Degrees of Freedom},
  journal = {International Journal of Mechanical Engineering and Applications},
  volume = {2},
  number = {6},
  pages = {104-110},
  doi = {10.11648/j.ijmea.20140206.14},
  url = {https://doi.org/10.11648/j.ijmea.20140206.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmea.20140206.14},
  abstract = {Solution of the problems of synthesis of spatial five-bar hinged mechanisms with two degrees of freedom task considering the angle of transmission and definition of conditions of existence of cranks is given in the paper. A possibility of movement of the designed mechanism without seizure that is depended on shape and sizes of the mechanism links is envisaged. At solution of the problem of synthesis first are determined sizes of the mechanism couples considering the angle of transmission and then are determined the limits of variation of the angle of transmission depending on sizes of the mechanism links. The conditions are ascertained which must be met by sizes of the spatial five-bar mechanism links so that the two links adjoining to the frame are crank (theorem on existence of cranks in the spatial five-bar mechanism).},
 year = {2014}
}

Copy | Download

TY  - JOUR
T1  - On Some Problems of Synthesis of Spatial Five-Bar Hinged Mechanisms with Two Degrees of Freedom
AU  - Nodar Davitashvili
AU  - Otar Gelashvili
Y1  - 2014/12/18
PY  - 2014
N1  - https://doi.org/10.11648/j.ijmea.20140206.14
DO  - 10.11648/j.ijmea.20140206.14
T2  - International Journal of Mechanical Engineering and Applications
JF  - International Journal of Mechanical Engineering and Applications
JO  - International Journal of Mechanical Engineering and Applications
SP  - 104
EP  - 110
PB  - Science Publishing Group
SN  - 2330-0248
UR  - https://doi.org/10.11648/j.ijmea.20140206.14
AB  - Solution of the problems of synthesis of spatial five-bar hinged mechanisms with two degrees of freedom task considering the angle of transmission and definition of conditions of existence of cranks is given in the paper. A possibility of movement of the designed mechanism without seizure that is depended on shape and sizes of the mechanism links is envisaged. At solution of the problem of synthesis first are determined sizes of the mechanism couples considering the angle of transmission and then are determined the limits of variation of the angle of transmission depending on sizes of the mechanism links. The conditions are ascertained which must be met by sizes of the spatial five-bar mechanism links so that the two links adjoining to the frame are crank (theorem on existence of cranks in the spatial five-bar mechanism).
VL  - 2
IS  - 6
ER  -

Copy | Download