Based on the constructed mathematical models, the dynamics and stability of deformable elements of flying vehicles, pipeline systems, sensors for measuring the parameters of gas-liquid media interacting with subsonic or supersonic flow of the ideal medium (ideal gas or perfect liquid) are investigated. Analytical methods of investigating the stability in problems of aerohydroelastisity based on constructing the functionals are developed. The dynamics of the elements is investigated using numerical-analytical methods.
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