VIBRATION STABILITY OF
COAXIAL CYLINDRICAL SHELLS

Abstract

The paper considers the influence of a diamagnetic vacuum gap on the occurrence of instability in a dynamic system consisting of two coaxial shells with an azimuthal magnetic field in the gap.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 36
Issue: 2
Year: 2023

DOI: 10.12732/ijam.v36i2.8

Download Section



Download the full text of article from here.

You will need Adobe Acrobat reader. For more information and free download of the reader, please follow this link.

References

  1. [1] T.A. Sanikidze, About one plane problem of stability of oscillations of a magnetoelastic system, Tr. of IPMM NASU, 10 (2006), 158-165.
  2. [2] A.M. Kholkin, T.A. Sanikidze, Stability of oscillations of magneto-elastic conducting plates in the presence of magnetic field, Intern. J. of Appl. Math., 36, No 1 (2023), 1-9; doi:10.12732/ijam.v36i1.1.
  3. [3] A.M. Kholkin, T.A. Sanikidze, On the stability of current - carrying shell, Intern. J. of Appl. Math., 34, No 1 (2021), 217-223; doi:10.12732/ijam.v34i1.12.
  4. [4] S.A. Ambartsumyan, S.E. Bagdasaryan, Electrically Conductive Plates and Shells in a Magnetic Field, Nauka, Moscow (1966).
  5. [5] S.L. Sahakyan, S.E. Bagdasaryan, Questions of vibrations of coaxial cylindrical shells partially filled with liquid, Doklady NAS RA, 115, No 3 (2015), 209-217.
  6. [6] L.D. Landau, E.M. Lifshits, Electodynamics of Continuous Media, Nauka, Moscow (1982).
  7. [7] T.A. Sanikidze, Plane problem of magnetic-oscillation stability and degenerate magnetoacoustic wave propagation in inhomogeneous magnetic field, Nonlin. Part. Diff. Equat.: Intern. Conf., Donetsk, Ukraine, September 9-14, 2013, NASU, Inst. Appl. Math. Mech. (2013), 57.
  8. [8] A.I. Lurie, Theory of Elasticity, Nauka, Moscow (1970).