On Some Problems of Synthesis of Spatial Five-Bar Hinged Mechanisms with Two Degrees of Freedom
International Journal of Mechanical Engineering and Applications
Volume 2, Issue 6, December 2014, Pages: 104-110
Received: Nov. 24, 2014; Accepted: Dec. 7, 2014; Published: Dec. 18, 2014
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Authors
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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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).
Keywords
Synthesis, Angle of Transmission, Spatial Five-Bar Mechanism, Coupler, Conditions of Existence of Crank
To cite this article
Nodar Davitashvili, Otar Gelashvili, On Some Problems of Synthesis of Spatial Five-Bar Hinged Mechanisms with Two Degrees of Freedom, International Journal of Mechanical Engineering and Applications. Vol. 2, No. 6, 2014, pp. 104-110. doi: 10.11648/j.ijmea.20140206.14
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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