Effect of Magnetic Field on Aeroelastic Stability of High Aspect Ratio Plate

Abstract:

This paper studies how a magnetic field affects the stability domain of a high aspect-ratio plate subjected simultaneously to supersonic gas flow and a temperature gradient across its thickness. Formulating the problem mathematically leads to a boundary value problem describing the plate’s stable configuration. The model is built on the fundamental assumptions of magneto-thermo-elastic plate theory and piston theory. It also employs an extended formula of piston theory, previously derived and explained in detail in [1,2]. Using the Routh–Hurwitz criterion, the study determines the stability regions of the plate under the combined effects of the temperature field and the external flow, and analyzes how the magnetic field modifies these regions. Additionally, based on an obtained formula for the critical flow velocity, the paper computes the corresponding critical velocities for various temperature distributions and explores the impact of the magnetic field on these values.

• Periodical: Advances in Science and Technology (Volume 181)
• Pages: 3-15
• DOI: https://doi.org/10.4028/p-IqlY5F
• Online since: August 2026
• Authors: Marine A. Mikilyan*
• Keywords: Critical Speed, Flutter Boundary, Magnetic Fields, Supersonic Flutter

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