Dynamics of Planar Five-Link Hinged RRRRT Type Mechanism with Two Degrees of Freedom

Nodar Davitashvili; Otar Gelashvili

doi:doi:10.11648/j.ijmea.20170502.13

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Dynamics of Planar Five-Link Hinged RRRRT Type Mechanism with Two Degrees of Freedom

Nodar Davitashvili, Otar Gelashvili

Published in International Journal of Mechanical Engineering and Applications (Volume 5, Issue 2)

Received: 28 January 2017 Accepted: 28 February 2017 Published: 18 March 2017

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Abstract

The paper dwells on dynamic study of a 2-DOF planar five-link mechanism of RRRRT type. There is described the kinematic analysis of the mechanisms, by means of the results of which the formulas of kinetic energy, the reduced moment and the reduced force have been derived, and the non-linear differential equations of motion of second kind determining the motions, velocities and accelerations of the input links of a mechanisms have been obtained. The paper describes the example of solving the dynamic problem. The results obtained for the ideal and real mechanisms are shown in graphs.

Published in	International Journal of Mechanical Engineering and Applications (Volume 5, Issue 2)
DOI	10.11648/j.ijmea.20170502.13
Page(s)	87-94
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

Planar Five-Link Mechanism, Dynamics, Two Degrees of Freedom, Kinetic Energy, Differential Equations of Motion

References

[1]	N. Davitashvili, “Theory of hinged-lever mechanisms with two degrees of freedom”, Tbilisi: Georgian Committee of IFToMM, 2009. – 372 p. (In Russian).
[2]	V. V. Dobrovolski, “Theory of mechanisms with two or more degrees of freedom” in Works of the Moscow Machine Tool Design Institute. Moscow, 1939, Vol. 4, рр. 41-76. (In Russian)
[3]	R. Beier, “Kinematisch–Getriebedynamisches Praktikum”, Berlin: Springer. 1960. -354 p.
[4]	B. M. Abramov, “The Dynamics of the hinged mechanisms with account for friction” Kharkov: Kharkov University. 1960. -150 p. (in Russian).
[5]	S. N. Kozhevnikov, “The dynamics of a two-degree-of-freedom mechanisms” in Modern problems of the Theory of Machines and Mechanisms. Moscow, 1965, рр. 211-222. (InRussian).
[6]	V. A. Zinovyev, A. P. Bessonov, “Foundations of the dynamics of machinery”. Moscow: Mashinostroyenie, 1964. -240 p. (In Russian).
[7]	A. P. Bessonov, V. A. Ponomaryov, “On the dynamics of one new scheme of a two-degree-of-freedom mechanism” in Collection of scientific works of the Chelyabinsk Polytechnic Institute, Chelyabinsk. 1974, №142, рр. 210-214 (In Russian).
[8]	A. G. Ovakimov, “The dynamics of the 2-DOF mechanisms in the form of particle dynamics” in The dynamics of the machines. Moscow: Mashinovedenie 1969, pp. 265-276. (In Russian).
[9]	N. Davitashvili, O. Gelashvili, “On some problems of synthesis of special five-bar hinged mechanisms with two degrees of freedom” in International Scientific Journal of Mechanical Engineering and applications. 2014, № 2(6), pp. 104-110.
[10]	N. Davitashvili, O. Gelashvili, “Analysis of the special five-bar mechanisms with two dwells of output links” in International Scientific Journal of IFToMM “Problems of Mechanics”. Tbilisi, 2016, № 3(64), рр.5-20.
[11]	N. Davitashvili, G. Namgaladze, “Equation of couple curve of planer five-bar hinged RRRRT type mechanism with two degrees of freedom and its synthesis of desired conditions” in International Scientific Journal of IFToMM “Problems of Mechanics”. Tbilisi, 2016, № 4(65), pp. 5-14.

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APA Style

Nodar Davitashvili, Otar Gelashvili. (2017). Dynamics of Planar Five-Link Hinged RRRRT Type Mechanism with Two Degrees of Freedom. International Journal of Mechanical Engineering and Applications, 5(2), 87-94. https://doi.org/10.11648/j.ijmea.20170502.13

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ACS Style

Nodar Davitashvili; Otar Gelashvili. Dynamics of Planar Five-Link Hinged RRRRT Type Mechanism with Two Degrees of Freedom. Int. J. Mech. Eng. Appl. 2017, 5(2), 87-94. doi: 10.11648/j.ijmea.20170502.13

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AMA Style

Nodar Davitashvili, Otar Gelashvili. Dynamics of Planar Five-Link Hinged RRRRT Type Mechanism with Two Degrees of Freedom. Int J Mech Eng Appl. 2017;5(2):87-94. doi: 10.11648/j.ijmea.20170502.13

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@article{10.11648/j.ijmea.20170502.13,
  author = {Nodar Davitashvili and Otar Gelashvili},
  title = {Dynamics of Planar Five-Link Hinged RRRRT Type Mechanism with Two Degrees of Freedom},
  journal = {International Journal of Mechanical Engineering and Applications},
  volume = {5},
  number = {2},
  pages = {87-94},
  doi = {10.11648/j.ijmea.20170502.13},
  url = {https://doi.org/10.11648/j.ijmea.20170502.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmea.20170502.13},
  abstract = {The paper dwells on dynamic study of a 2-DOF planar five-link mechanism of RRRRT type. There is described the kinematic analysis of the mechanisms, by means of the results of which the formulas of kinetic energy, the reduced moment and the reduced force have been derived, and the non-linear differential equations of motion of second kind determining the motions, velocities and accelerations of the input links of a mechanisms have been obtained. The paper describes the example of solving the dynamic problem. The results obtained for the ideal and real mechanisms are shown in graphs.},
 year = {2017}
}

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TY  - JOUR
T1  - Dynamics of Planar Five-Link Hinged RRRRT Type Mechanism with Two Degrees of Freedom
AU  - Nodar Davitashvili
AU  - Otar Gelashvili
Y1  - 2017/03/18
PY  - 2017
N1  - https://doi.org/10.11648/j.ijmea.20170502.13
DO  - 10.11648/j.ijmea.20170502.13
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  - 87
EP  - 94
PB  - Science Publishing Group
SN  - 2330-0248
UR  - https://doi.org/10.11648/j.ijmea.20170502.13
AB  - The paper dwells on dynamic study of a 2-DOF planar five-link mechanism of RRRRT type. There is described the kinematic analysis of the mechanisms, by means of the results of which the formulas of kinetic energy, the reduced moment and the reduced force have been derived, and the non-linear differential equations of motion of second kind determining the motions, velocities and accelerations of the input links of a mechanisms have been obtained. The paper describes the example of solving the dynamic problem. The results obtained for the ideal and real mechanisms are shown in graphs.
VL  - 5
IS  - 2
ER  -

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Author Information

Nodar Davitashvili

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

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

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APA Style

Nodar Davitashvili, Otar Gelashvili. (2017). Dynamics of Planar Five-Link Hinged RRRRT Type Mechanism with Two Degrees of Freedom. International Journal of Mechanical Engineering and Applications, 5(2), 87-94. https://doi.org/10.11648/j.ijmea.20170502.13

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ACS Style

Nodar Davitashvili; Otar Gelashvili. Dynamics of Planar Five-Link Hinged RRRRT Type Mechanism with Two Degrees of Freedom. Int. J. Mech. Eng. Appl. 2017, 5(2), 87-94. doi: 10.11648/j.ijmea.20170502.13

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AMA Style

Nodar Davitashvili, Otar Gelashvili. Dynamics of Planar Five-Link Hinged RRRRT Type Mechanism with Two Degrees of Freedom. Int J Mech Eng Appl. 2017;5(2):87-94. doi: 10.11648/j.ijmea.20170502.13

Copy | Download

@article{10.11648/j.ijmea.20170502.13,
  author = {Nodar Davitashvili and Otar Gelashvili},
  title = {Dynamics of Planar Five-Link Hinged RRRRT Type Mechanism with Two Degrees of Freedom},
  journal = {International Journal of Mechanical Engineering and Applications},
  volume = {5},
  number = {2},
  pages = {87-94},
  doi = {10.11648/j.ijmea.20170502.13},
  url = {https://doi.org/10.11648/j.ijmea.20170502.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmea.20170502.13},
  abstract = {The paper dwells on dynamic study of a 2-DOF planar five-link mechanism of RRRRT type. There is described the kinematic analysis of the mechanisms, by means of the results of which the formulas of kinetic energy, the reduced moment and the reduced force have been derived, and the non-linear differential equations of motion of second kind determining the motions, velocities and accelerations of the input links of a mechanisms have been obtained. The paper describes the example of solving the dynamic problem. The results obtained for the ideal and real mechanisms are shown in graphs.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Dynamics of Planar Five-Link Hinged RRRRT Type Mechanism with Two Degrees of Freedom
AU  - Nodar Davitashvili
AU  - Otar Gelashvili
Y1  - 2017/03/18
PY  - 2017
N1  - https://doi.org/10.11648/j.ijmea.20170502.13
DO  - 10.11648/j.ijmea.20170502.13
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  - 87
EP  - 94
PB  - Science Publishing Group
SN  - 2330-0248
UR  - https://doi.org/10.11648/j.ijmea.20170502.13
AB  - The paper dwells on dynamic study of a 2-DOF planar five-link mechanism of RRRRT type. There is described the kinematic analysis of the mechanisms, by means of the results of which the formulas of kinetic energy, the reduced moment and the reduced force have been derived, and the non-linear differential equations of motion of second kind determining the motions, velocities and accelerations of the input links of a mechanisms have been obtained. The paper describes the example of solving the dynamic problem. The results obtained for the ideal and real mechanisms are shown in graphs.
VL  - 5
IS  - 2
ER  -

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