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IssuesArchive of Issues2014-1pp.11-17

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E.S. Briskin, Ya.V. Kalinin, A.V. Maloletov, and V.V. Chernyshev, "On the Energy Efficiency of Cyclic Mechanisms," Mech. Solids. 49 (1), 11-17 (2014)
Year 2014 Volume 49 Number 1 Pages 11-17
DOI 10.3103/S0025654414010026
Title On the Energy Efficiency of Cyclic Mechanisms
Author(s) E.S. Briskin (Volgograd State Technical University, pr-t Lenina 28, Volgograd, 400131 Russia, dtm@vstu.ru)
Ya.V. Kalinin (Volgograd State Technical University, pr-t Lenina 28, Volgograd, 400131 Russia)
A.V. Maloletov (Volgograd State Technical University, pr-t Lenina 28, Volgograd, 400131 Russia)
V.V. Chernyshev (Volgograd State Technical University, pr-t Lenina 28, Volgograd, 400131 Russia)
Abstract We consider cyclic mechanisms with one degree of freedom driven by engines of various types such as alternating and direct current motors, internal combustion engines, etc. We pose the problem of modifying the mechanism structure by joining additional links or by varying the parameters or operation mode of the original mechanism so as to minimize the thermal losses in the driving motor. The solution is based on the minimization of the functional determining the irreversible power losses.

We show that, for the engines considered, all cyclic mechanisms with one degree of freedom should satisfy a fundamental condition ensuring the minimum of losses. We consider two examples, one of which corresponds to actually existing mechanisms.
Keywords cyclic mechanism, energy loss, Euler equations, Lagrange multiplier, energy efficiency
References
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9.  V. L. Veits, M. Z. Kolosovskii, and A. E. Kochura, Dynamics of Controlled Machine Aggregates (Nauka, Moscow, 1984) [in Russian].
10.  E. S. Briskin, "On the Choice of the Generalized Coordinates for the Analysis of Motion of Mechanical Systems," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 2, 44-50 (2000) [Mech. Solids (Engl. Transl.) 35 (2), 37-42 (2000)].
11.  L. E. El'sgol'ts, Differential Equations and Calculus of Variations (Nauka, Moscow, 1969) [in Russian].
12.  E. S. Briskin, V. V. Zhoga, and A. V. Maloletov "Control of Motion of a Legged Locomotion Machine with Minimal-Power Motor," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 6, 21-30 (2009) [Mech. Solids (Engl. Transl.) 44 (6), 828-836 (2009)].
13.  Ya. V. Kalinin, "Estimation of the Energy Efficiency of Legged Locomotion Machines with Cyclic Drivers," Izv. VolgGTU, Ser. Actual Problems of Control, Computer Engineering, and Informatics in Technical Systems, Mezhvuz. Sb. Nauch. St. 7 (12), 40-44 (2009).
14.  E. S. Briskin and Ya. V. Kalinin, "On Energetically Efficient Algorithms of Motion of Legged Locomotive Machines with Cyclic Drivers," Izv. Ross. Akad. Nauk. Teor. Sist. Upravl., No. 2, 170-176 (2011).
Received 29 March 2011
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