ON OPTIMAL CONTROL OF THERMOELASTIC VIBRATIONS OF A PLATE-STRIP

Authors

  • Samvel H. Jilavyan Chair of Mechanics, YSU, Armenia
  • Edmon R. Grigoryan Chair of Mechanics, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A.2024.58.1.013

Keywords:

vibrations, thermal conductivity, optimal control, thermoelasticity

Abstract

The problem of optimal control of elastic vibrations of an isotropic plate-strip under the influence of temperature and force fields is studied. The function of changing the external load on the plane of the plate is represented as a control function. Optimal control is also carried out by the distribution function of the temperature of the external field over the plate. The well-known classical hypotheses of thermo-elastic bending of the plate are accepted. The equations of transverse vibrations of the plate and heat conduction in the plate are solved under the boundary conditions of heat transfer and the stress state on the planes of the plate. The method of Fourier series, the method of representing moment relations, the well-known method of minimizing the functional are used.

References

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Jilavyan S.H., Khurshudyan As.Zh. Optimal Control of Anisotropic Layer-Plate Vibrations in View of Transverse Shear. Problems of Control, Information Processing and Transmission 2 (2013), 219-228.

Ignaczak J. A Review: Thermoelasticity by Witold Nowackiy (2nd ed.). Oxford, Pergamon Press (1986). https://doi.org/10.1080/01495738808961927

Adams R.J. Analysis and Control of Thermoelastic Vibrations in Plate Structures. University of Oklahoma (2001).

Xu B., Lu X., Bai Y. A Spatiotemporal Fuzzy Control Approach for Complex Distributed Parameter System with Application to Thermal Processes. J. Process Control 127 (2023). https://doi.org/10.1016/j.jprocont.2023.102993

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Published

2024-04-23

How to Cite

Jilavyan, S. H., & Grigoryan, E. R. (2024). ON OPTIMAL CONTROL OF THERMOELASTIC VIBRATIONS OF A PLATE-STRIP. Proceedings of the YSU A: Physical and Mathematical Sciences, 58(1 (263), 13–21. https://doi.org/10.46991/PYSU:A.2024.58.1.013

Issue

Section

Mechanics