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Dynamics of a Self-Oscillatory System with an Energy Source

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Abstract

The interaction of a self-oscillatory system with an energy source of limited power is considered. By direct linearization, a formula is derived for calculating the dynamic parameters.

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References

  1. Bogolyubov, N.N. and Mitropol’skii, Yu.A., Asimptoticheskie metody v teorii nelineinykh kolebanii (Use of Asymptotic Methods in the Theory of Nonlinear Oscillations), Moscow: Nauka, 1974.

    MATH  Google Scholar 

  2. Butenin, N.V., Neimark, Yu.I., and Fufaev, N.A., Vvedenie v teoriyu nelineinykh kolebanii (Introduction to the Theory of Nonlinear Oscillations), Moscow: Nauka, 1976.

    Google Scholar 

  3. Moiseev, N.N., Asimptoticheskie netody nelineinoi mekhaniki (Asymptotic Methods in Nonlinear Mechanics), Moscow: Nauka, 1981.

    MATH  Google Scholar 

  4. Migulin, V.V., Medvedev, V.I., Mustel’, E.R., and Parygin, V.N., Osnovy teorii kolebanii (Fundamental Theory of Oscillations), Moscow: Nauka, 1981.

    Google Scholar 

  5. Alifov, A.A., Metody pryamoi linearizatsii dlya rascheta nelinenykh sistem (Methods of Direct Linearization for Calculation of Nonlinear Systems), Moscow: Regulyarnaya i Khaoticheskaya Dinamika, 2015.

    Google Scholar 

  6. Alifov, A.A., Effects of vibrations on nonlinear friction systems, Tekhnika, 2001, no. 4, pp. 47–51.

    Google Scholar 

  7. Alifov, A.A., About some methods of calculation of nonlinear fluctuations, VMire Nauchn. Otkrytii, 2011, vol. 13, no. 1, pp. 155–159.

    Google Scholar 

  8. Alifov, A.A., Calculations of nonlinear systems based on direct linearization methods, Probl. Mashinostr. Avtom., 2011, no. 2, pp. 97–99.

    Google Scholar 

  9. Alifov, A.A., Calculation of nonlinear oscillations using direct linearization of nonlinearities, Trudy IX Vserossiiskoi nauchnoi konferentsii “Nelineinye kolebaniya mekhanicheskikh sistem” (Proc. IX All-Russ. Sci. Conf. “Nonlinear Oscillations of Mechanical Systems”), Balandin, D.V., Erofeev, V.I., and Pavlov, I.R., Eds., Nizhny Novgorod: Nash Dom, 2012, pp. 58–62.

    Google Scholar 

  10. Alifov, A.A., Direct linearization of mixed-type nonlinearities for calculation of nonlinear oscillations, Materialy 10-i Vserossiiskoi nauchno-tekhnicheskoi konferentsii “Dinamika nelineinykh dikretnykh elektrotekhnicheskikh i elektronnykh sistem” (Proc. Tenth All-Russ. Sci.-Tech. Conf. “Dynamics of Nonlinear Discrete Electrical and Electronic Systems”), Cheboksary: Chuvash. Gos. Univ., 2013, pp. 12–14.

    Google Scholar 

  11. Alifov, A.A., About some methods of calculation nonlinear oscillations in machines, Proc. Int. Symp. on Mechanism and Machine Science. October 5–8, 2010, Izmir, 2010, pp. 378–381.

    Google Scholar 

  12. Alifov, A.A., Methods of calculation of the nonlinear systems, based on a straight linearization of nonlinear functions, Proc. XV Int. Conf. “Dynamical System Modeling and Stability Investigation,” Kyiv, 2011, p. 20.

    Google Scholar 

  13. Alifov, A.A., Methods of direct linearization for calculation of nonlinear oscillations, Probl. Mashinostr. Avtom., 2015, no. 2, pp. 84–87.

    Google Scholar 

  14. Alifov, A.A., Self-oscillations of a mechanical system under hit impact, Trudy VIII Vserossiiskoi nauchnoi konferentsii “Nelineinye kolebaniya mekhanicheskikh sistem” (Proc. VIII All-Russ. Sci. Conf. “Nonlinear Oscillations of Mechanical Systems”), Balandin, D.V. and Erofeev, V.I., Eds., Nizhny Novgorod: Dialog Kul’tur, 2008, vol. 1.

  15. Kononenko, V.O., Kolebatel’nye sistemy s ogrnichennym vozbuzhdeniem (Vibrational Systems with Limited Excitation), Moscow: Nauka, 1964.

    Google Scholar 

  16. Alifov, A.A. and Frolov, K.V., Vzaimodeistvie nelineinykh kolebatel’nykh sistem s istochnikami energii (Interaction of Nonlinear Oscillatory Systems with Energy Sources), Moscow: Nauka, 1985.

    MATH  Google Scholar 

  17. Alifov, A.A. and Frolov, K.V., Interaction of Non-Linear Oscillatory Systems with Energy Sources, New York: Hemisphere Publishing Corporation. Taylor & Francis Group, 1990.

    MATH  Google Scholar 

  18. Alifov, A.A., Self-oscillatory system interacting with an energy source, Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, 1977, no. 1, pp. 36–42.

    Google Scholar 

  19. Alifov, A.A., Self-oscillatory system with limited excitation Mashinovedenie, 1979, no. 1, pp. 8–14.

    Google Scholar 

  20. Kudinov, V.A., Dinamika stankov (Dynamics of Machines), Moscow: Mashinostroenie, 1967.

    Google Scholar 

  21. Koritysskii, Ya.I., Torsional self-oscillations of exhausting devices of spinning machines with boundary friction in sliding supports, in Nelineinye kolebaniya i perekhodnye protsessy v mashinakh (Nonlinear Oscillations and Transitional Processes in Machines), Moscow: Nauka, 1972.

    Google Scholar 

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Authors and Affiliations

  1. Blagonravov Institute of Mechanical Engineering, Moscow, Russia

    A. A. Alifov

  2. Azerbaijan State University of Economics, Baku, Azerbaijan

    M. G. Farzaliev & E. N. Jafarov

Authors
  1. A. A. Alifov
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  2. M. G. Farzaliev
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  3. E. N. Jafarov
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Correspondence to A. A. Alifov.

Additional information

Original Russian Text © A.A. Alifov, M.G. Farzaliev, E.N. Jafarov, 2018, published in Vestnik Mashinostroeniya, 2018, No. 1, pp. 30–32.

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Alifov, A.A., Farzaliev, M.G. & Jafarov, E.N. Dynamics of a Self-Oscillatory System with an Energy Source. Russ. Engin. Res. 38, 260–262 (2018). https://doi.org/10.3103/S1068798X18040032

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  • DOI: https://doi.org/10.3103/S1068798X18040032

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