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Cycloidal Shaping of Polyhedra in Two-Rotor Systems

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Abstract

A method of solution is proposed for the model of the cycloid shaping of polyhedra. The method is based on reducing the equations to algebraic form by polynomial approximation of transcendental functions.

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REFERENCES

  1. Kuznetsov, A.P., Development of import-independent machine tool industry in Russia, Tekhnosfera. Stankoinstrum., 2016, no. 2, pp. 16–25.

  2. Kuznetsov, A.P., Structure of cutting processes and equipment. Part 4. Structure of cutting equipment, Russ. Eng. Res., 2015, vol. 35, no. 8, pp. 595–610.

    Article  Google Scholar 

  3. Danilov, V.A. and Danilov, A.A., Forming of non-circular surfaces of the profile of moment-transmitting compounds, Vestn. Polotsk. Gos. Univ., Ser. B: Prom. Mashinoved. Mashinostr., 2014, no. 11, pp. 8–15.

  4. Nikiforov, S.O., Markhadaev, B.E., and Nikiforov, B.S., The description of the movements of celestial bodies by the mechanic of the medieval East At-Tusi and cycloidal manipulators in mechatronics, Uch. Zap. Zabaikal’sk. Gos. Gumanit.-Pedagog. Univ., 2011, no. 3, pp. 127–136.

  5. Danilov, V.A., Combination of forming kinematics and kinematic processing schemes for the functional design of machine equipment, Vestn. Polotsk. Gos. Univ., Ser. B: Prom. Prikl. Nauki, 2012, no. 3, pp. 2–10.

  6. Bekasov, D.L., Milling of noncircular profiles with longitudinal feed, Tekhnol. Mashinostr., 2008, no. 3, pp. 9–10.

  7. Bekasov, D.L. and Voronov, V.N., Calculation of geometrical parameters of noncircular profiles after milling, Tekhnol. Mashinostr., 2008, no. 4, pp. 16–17.

  8. Kuts, V.V. and Maksimenko, Yu.A., Processing long shafts with an equiaxial contour by disk cutter, Materialy 2-i nauchno-prakticheskoi konferentsii “Perspektivnoe razvitie nauki, tekhniki i tekhnologii” (Proc. Second Int. Sci.-Pract. Conf. “Prospective Development of Sciences, Equipment, and Technology”), Kursk: Yugo-Zap. Gos. Univ., 2012, vol. 1, pp. 198–201.

  9. Ivanov, V.S. Simulation of cycloidal shaping during blade processing of rotational surfaces, Tekhnol. Mashinostr., 2007, no. 7, pp. 19–23.

  10. Samarskii, A.A. and Mikhailov, A.P., Matematicheskoe modelirovanie: Idei. Metody. Primery (Mathematical Modeling: Concepts, Methods, and Examples), Moscow: Fizmatlit, 2002.

  11. Ivanov, V.S. and Ivanov, D.V., Vector analysis of blade cutting methods, Tekhnol. Mashinostr., 2010, no. 4, pp. 8–13.

  12. Ivanov, V.S., Zubkov, N.N., and Ivanov, D.V., Analysis of the kinematics of cycloidal shaping in production of gap structures by a rotating blade tool, Tekhnol. Mashinostr., 2007, no. 11, pp. 13–15.

  13. Vygodskii, M.Ya., Spravochnik po vysshei matematike (Handbook on Higher Mathematics), Moscow: AST, Astrel’, 2006.

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Correspondence to V. S. Ivanov.

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Translated by Bernard Gilbert

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Ivanov, D.V., Ivanov, V.S. & Kuznetsov, A.P. Cycloidal Shaping of Polyhedra in Two-Rotor Systems. Russ. Engin. Res. 38, 949–955 (2018). https://doi.org/10.3103/S1068798X18120389

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  • DOI: https://doi.org/10.3103/S1068798X18120389

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