Study of dynamic stability of elastic air duct wall

Title	Study of dynamic stability of elastic air duct wall
Authors	G. A. Ankilov¹, P. A. Velmisov¹ ¹Ulyanovsk State Technical University
Annotation	Based on the constructed three-dimensional mathematical model described by a system of partial differential equations, the paper investigates the dynamic stability of the elastic wall of an air duct through which a gas flow is supplied. To study the stability of solutions to the corresponding initial-boundary value problems of aerohydroelasticity, functionals are constructed in models of compressible and incompressible media. Based on the properties of these functionals, stability conditions are obtained and an assessment is made of the effect of gas flow compressibility on the sizes of stability regions for specific parameters of the mechanical system.
Keywords	partial differential equations, dynamic stability, aerohydroelasticity, air duct, elastic plate, functional.
Citation	Ankilov G. A., Velmisov P. A. ''Study of dynamic stability of elastic air duct wall'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 29-31, 2025). Saransk: SVMO Publ, 2025. - pp. 40-44. Available at: https://conf.svmo.ru/files/2025/papers/paper06.pdf. - Date of access: 30.08.2025.