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.
Similar content being viewed by others
References
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.
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.
Kovalenko, A.D., Vvedenie v termouprugost' (Introduction to Thermoelasticity), Kiev: Naukova Dumka, 1965.
Lord, H.W. and Shulman, Y., A Generalized Dynamical Theory of Thermo-elasticity, J. Mech. Phys. Solids., 1967, vol. 15, pp. 299–309.
Nowacki, W., Teoria Sprężystości, Warszawa: Państwowe Wydawnictwo Naukowe, 1970. Translated under the title Teoriya uprugosti, Moscow: Mir, 1975.
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.
Rogovoi, A.A. and Stolbova, O.S., Evolutionary Model of Finite-Strain Thermoelasticity, J. Appl. Mech. Tech. Phys., 2008, vol. 49, pp. 500–509.
Markin, A.A. and Sokolova, M.Yu., Termomekhanika uprugoplasticheskogo deformirovaniya (Thermomechanics of Elastoplastic Strain), Moscow: Fizmatlit, 2013.
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.
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.
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
Lavrent'ev, M.A. and Shabat, B.V., Metody teorii funktsii kompleksnogo peremennogo (Methods of Complex Variable Theory), Moscow: Lan', 2002.
Acknowledgments
The author is grateful to L.A. Cheremushkina for her creative assistance and selection of the literature on thermoelasticity.
Author information
Authors and Affiliations
Corresponding author
Additional information
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.
Rights and permissions
About this article
Cite this article
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
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0005117920040049