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Studying the Dynamic Properties of a Distributed Thermomechanical Controlled Plant with Intrinsic Feedback. I

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Abstract

The dynamic properties of the response of a one-dimensional elastic system to an external thermal action are studied. In contrast to the author's previous publication on the properties of this plant, the impact of mechanical vibrations on the heat transfer process is also considered. As is established below, with this impact taken into account, the double integrating effect in the thermal action-to-mechanical vibrations channel still holds.

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References

  1. Melan, E. and Parkus, H., Wärmespannungen infolge stationarer Temperaturfelder, Wien: Springer-Verlag, 1953. Translated under the title Termouprugie napryazheniya, vyzyvaemye statsionarnymi temperaturnymi polyami, Moscow: Fizmatgiz, 1958.

    Google Scholar 

  2. Boley, B.A. and Weiner, J.H., Theory of Thermal Stresses, New York: Wiley, 1960. Translated under the title Teoriya temperaturnykh napryazhenii, Moscow: Mir, 1964.

    MATH  Google Scholar 

  3. Kovalenko, A.D., Vvedenie v termouprugost' (Introduction to Thermoelasticity), Kiev: Naukova Dumka, 1965.

    Google Scholar 

  4. Lord, H.W. and Shulman, Y., A Generalized Dynamical Theory of Thermo-elasticity, J. Mech. Phys. Solids., 1967, vol. 15, pp. 299–309.

    Article  Google Scholar 

  5. Nowacki, W., Teoria Sprężystości, Warszawa: Państwowe Wydawnictwo Naukowe, 1970. Translated under the title Teoriya uprugosti, Moscow: Mir, 1975.

    MATH  Google Scholar 

  6. Jordan, P.M. and Puri, P., On the Propagation of Plane Waves in Type-III Thermoelastic Media, Proc. Royal Soc. Lond. A., 2004, vol. 460, pp. 3203–3221.

    Article  MathSciNet  Google Scholar 

  7. Rogovoi, A.A. and Stolbova, O.S., Evolutionary Model of Finite-Strain Thermoelasticity, J. Appl. Mech. Tech. Phys., 2008, vol. 49, pp. 500–509.

    Article  MathSciNet  Google Scholar 

  8. Markin, A.A. and Sokolova, M.Yu., Termomekhanika uprugoplasticheskogo deformirovaniya (Thermomechanics of Elastoplastic Strain), Moscow: Fizmatlit, 2013.

    Google Scholar 

  9. Babenkov, M.B., Propagation of Harmonic Perturbations in a Thermoelastic Medium with Heat Relaxation, J. Appl. Mech. Tech. Phys., 2013, vol. 54, pp. 277–286.

    Article  Google Scholar 

  10. Torsukova, E.B. and Khristich, D.V., Statement of the Coupled Dynamic Thermoelasticity Problem for a Rod, Vestn. Tul'sk. Gos. Univ., Ser. Diff. Uravn. Prikl. Zad., 2016, no. 1, pp. 88–92.

    Google Scholar 

  11. Solnechnyi, E.M., The Dynamic Properties Investigation for a Distributed Thermomechanical Control Plant, 2018 Eleventh Int. Conf. “Management of Large-Scale System Development” (MLSD), Moscow, October 1-3, 2018. https://ieeexplore.ieee.org/document/8551890

    Google Scholar 

  12. Lavrent'ev, M.A. and Shabat, B.V., Metody teorii funktsii kompleksnogo peremennogo (Methods of Complex Variable Theory), Moscow: Lan', 2002.

    Google Scholar 

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Acknowledgments

The author is grateful to L.A. Cheremushkina for her creative assistance and selection of the literature on thermoelasticity.

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Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

    E. M. Solnechnyi

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  1. E. M. Solnechnyi
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Correspondence to E. M. Solnechnyi.

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This paper was recommended for publication by A.G. Kushner, a member of the Editorial Board

Russian Text © The Author(s), 2020, published in Avtomatika i Telemekhanika, 2020, No. 4, pp. 52–60.

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Solnechnyi, E.M. Studying the Dynamic Properties of a Distributed Thermomechanical Controlled Plant with Intrinsic Feedback. I. Autom Remote Control 81, 614–621 (2020). https://doi.org/10.1134/S0005117920040049

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  • DOI: https://doi.org/10.1134/S0005117920040049

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