Open AccessSupersonic divergence of a panel with a free edge initially loaded in two directions tensile and compressive forces
Author(s) -
S.R. Martirosyan
Publication year - 2022
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2231/1/012030
Subject(s) - supersonic speed , ultimate tensile strength , perpendicular , choked flow , materials science , mechanics , instability , flow (mathematics) , compressive strength , divergence (linguistics) , geometry , composite material , physics , mathematics , linguistics , philosophy
In the article, in a linear formulation, the problem of the static stability of a rectangular plate in a supersonic gas is investigated, initially loaded in two directions, respectively, stretched along the gas flow and compressed in the direction perpendicular to the gas flow velocity, under the assumption that the gas flow runs on its free edge. An analytical solution to the problem is obtained. The space of parameters of the “plate-flow” system was partitioned into areas of stability and static instability in the form of panel divergence and in the form of localized divergence. The corresponding critical velocities are found. The ratio of the stress coefficients characterizing the tensile and compressive forces, leading to the dominance of the stabilization effect, has been established. It is shown that compressive forces have an insignificant effect on the stability of sufficiently elongated plates, in comparison with tensile forces. The boundary value of the tensile stress coefficient is found, starting from which the elongated plates are stable at the beginning of the interval of supersonic velocities.