Abstract
Some mechanisms connect mechanics and mathematics closely. In the middle of 19-th century scientists’ attention was attracted by mechanical linkages providing a transformation from translation into rotation. This led to the search for mechanisms realizing theoretically exact displacement of a target point along a straight line. Dozens of such straight-line linkages have been developed. The majority of them realize the approximate displacement along a straight line and some of them provide exact rectilinear motion. In the creation of these mechanisms J. Watt, France Reuleaux, P. Chebyshev and the others took part. In Reuleaux’ famous collection of models about 40 are models of straight-line mechanisms. This article discusses some models of straight-line linkages (further called SLM). Moreover, the results of modeling them graphically and numerically by computer are presented.
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References
Kempe, A.B.: How to Draw a Straight Line. A lecture on linkages, p. 51. Macmillan and Co., London (1877)
Daina, T.: How to Draw a Straight Line. In: Kinematic Models for Design. Degital Library, Cornell University College of Engineering, kmoddl.library.cornell.edu
Dijksman, E.A.: On the History of Focal Mechanisms and Their Derivatives. In: International Symposium on History of Machines and Mechanisms, vol. 7, pp. 303–314. Kluwer Academic Publishers (2004)
Dijksman, E.A.: A Strong Relationship between New and Old Inversion Mechanisms. Transaction of the ASME. Journal of Engineering for Industry, 334–339 (February 1971)
Kinematic Models for Design. Digital Library. Cornell University College of Engineering, kmoddl.library.cornell.edu
Bryant, J., Sangwin, C.: How Round Is Your Circle? Where Engineering and Mathematics Meet. Princeton University Press, Princeton (2008)
Veber eine gelenkgeaef ührung von L. Lipkin. Mèlanges mathèmatiques de I’Academie lmpèriale a St-Pètesbourg (1870)
Peaucellier, C.-N.: Note sur un question du gèometrie de compass. Nouvelles Annales de Mathèmatiques, 2 s. 12(2), 71–78 (1873)
Lemoine: Note sur la losange articulè du commandant du Gènie Peaucellier destinè á remplacer le parallelogramme de Watt. Journal de Physique Thèorique et Appliquèe X, 130–134 (1873)
Bogoliubov, A.N.: Theory mechanism and machines in history evolution its ideas, p. 465. Publish house “Science”, Moscow (1976) (in Russian)
On certain conversion of motion. Messenger of Mathematics. Report of the 44 Meeting of British Association for the Advancement of Science. Meeting of Belfast 4, 82–86, 116–120 (1874)
Zernov, D.S.: Applied mechanics. Part1, p. 343. The merged scientific and technical publishing house, Moscow (1937)
Golovin, A., Tarabarin, V.: Russian Models from the Mechanisms Collection of Bauman University. In: Ceccarelli, M. (ed.) History of Mechanisms and Machines Science, vol. 5, p. 238. Springer, Heidelberg (2008)
Klyukin, D., Shchedrin, M., Tarabarin, V.: Stright-line Mechanisms in the Collection of Bauman Moscow Technical University. In: The 13th World Congress in Mechanism and Machine Science, Guanajuato, Mèxico, June 19-25, (ID: A21.451) (2011)
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Tarabarin, V., Tarabarina, Z., Chirkina, D. (2012). Designing, Analysis and Computer Modeling of Straight-Line Mechanisms. In: Koetsier, T., Ceccarelli, M. (eds) Explorations in the History of Machines and Mechanisms. History of Mechanism and Machine Science, vol 15. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-4132-4_38
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DOI: https://doi.org/10.1007/978-94-007-4132-4_38
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