Preview

Fine Chemical Technologies

Advanced search

NEW MODEL IDEAS IN THE THEORY OF OSSILATION

https://doi.org/10.32362/2410-6593-2017-12-1-83-88

Full Text:

Abstract

The article considers a new class of model representations in the theory of oscillation of systems described by the classical boundary value problems for hyperbolic equations. The peculiarity of the suggested approach consists in the introduction of an additional term into the basic equation of oscillations. This term characterizes the presence of a temperature gradient in the systems. The developed theory is applicable to longitudinal oscillations of a rod, but can be extended just as well to the problem of the vibrations of strings, membranes, shaft torsional oscillations, electromagnetic waves, etc. Numerical experiments showed a significant effect of the temperature field in the rod on the nature of the vibrations and displacements of the rod cross-sections in comparison with classical solutions.

About the Author

E. M. Kartashov
Moscow Technological University (Institute of Fine Chemical Technologies)
Russian Federation
Moscow, 119571 Russia


References

1. Tikhonov A.N., Samarskiy A.A. Equations of Mathematical Physics. M.: Nauka Publ., 1966. 724 p. (in Russ.).

2. Aramanovich I.G., Levin V.I. Equations of Mathematical Physics. M.: Nauka Publ., 1969. 288 p. (in Russ.).

3. Kartashov E.M., Kudinov V.A. Analytical Theory of Thermoconductivity and Applied Thermoelasticity. М.: URSS Publ., 2012. 653 p. (in Russ.).

4. Kartashov E.M. Analytical Methods in the Theory of Thermoconductivity of Solids. M.: Vysshaya Shkola Publ., 2001. 540 p. (in Russ.).


For citation:


Kartashov E.M. NEW MODEL IDEAS IN THE THEORY OF OSSILATION. Fine Chemical Technologies. 2017;12(1):83-88. (In Russ.) https://doi.org/10.32362/2410-6593-2017-12-1-83-88

Views: 133


ISSN 2410-6593 (Print)
ISSN 2686-7575 (Online)