ИСТИНА

The study is devoted to the analysis of the travelling panel submerged in axially flowing gas medium taking into account the thermomechanical actions caused by the panel heating. In order to accurately model the dynamics and stability of a lightweight moving material, the interaction between it and the surrounding air must be taken into account somehow. The light weight of the material leads to the inertial contribution of the surrounding gas to the acceleration of the panel becoming significant. The approach described in this study allows for an efficient semi-analytical solution, where the reaction pressure of the gas flow is analytically represented by an added mass model in terms of the panel displacement function. Then the panel displacements accounting also for the gas-structure interaction are analyzed with the help of the weak form of the governing partial differential equation, and a Galerkin method of solution. In the first part of this study we represent the travelling panel by a single partial differential equation (in the weak form) using an added-mass approximation of the exact gas reaction. In the second part we apply a Galerkin method for dynamic stability analysis of the panel and present an analytical investigation of static stability loss (divergence, buckling) based on the added-mass model. The work was supported by the Russian Science Foundation (project 17-19-01247). http://www.apm-conf.spb.ru/history/46