Abstract
The article presents 16 models of Bennett mechanism modifications depending on location of twisted angles in different quadrants. Two types of mechanism are identified—“parallelogram” and “isogram” of Bennett’s mechanism. Based on the results of system analysis research, it was established that if Bennett mechanism twisted angles are located in adjacent quadrants, then such a mechanism would be a parallelogram Bennett. If Bennett mechanism twisted angles are located in one quadrant or in the opposite of quadrants, that such a mechanism would be an “isogram” of Bennett.
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References
Bennett GT (1903) A new mechanism. Engineering 76:777–778
100 years to Bennett mechanism (2004) Proceedings of the international conference on the theory of machines and mechanisms. RIC “Shcola”, Kazan, 292 p. (In Russian)
Dvornikov LT (2009) Non-traditional arguments about the existence of Bennett mechanism. Theor Mach Mech 1(13):5–10. (In Russian)
Mingazov MR, Yarullin MG (2012) Analysis of studies of spatial mechanisms with revolute pairs. Analytical Mechanics, Stability and Control. In: Proceedings of the international X Chetaev conference. Isd-vo Kazan. Gos. Tech. Un-ta, Kazan, pp 358–366. (In Russian)
Mingazov MR (2013) Input crank kinematics of spatial 4R linkage. International youth scientific conference XXI Tupolev reading, pp 214–218. (In Russian)
Mudrov PG (1976) Spatial mechanisms with revolute joints. Isd-vo Kazanskogo gos. un-ta, Kazan, 264 p. (In Russian)
Mudrov AG (2003) Spatial mechanisms with special structure. Shkola, Kazan, 300 p. (In Russian)
Yarullin MG, Mingazov MR (2012) A brief analysis of Bennett mechanism modifications Problems of modern machines. Isd-vo VSGUTU, Ulan-Ude 1, p 177–181 (In Russian)
Baker JE (1988) The bennett linkage and its associated quadric surfaces. Mech Mach Theor 23:147–156
Bennett GT (1913) The skew isograms mechanism. Proc. Lond. Math. Soc. 2 s 13:151–173
Acknowledgements
This work was supported by the Russian Foundation for Basic Research (project No 13-08-97090\14).
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Yarullin, M.G., Mingazov, M.R. (2016). Structural Modifications Synthesis of Bennett Mechanism. In: Evgrafov, A. (eds) Advances in Mechanical Engineering. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-29579-4_2
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DOI: https://doi.org/10.1007/978-3-319-29579-4_2
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