ИСТИНА

Problems of optimization of rigid shells moving in condensed media are important from theoretical and applied point of view. The strength of the moving shell becomes critical for some velocities and structural parameters of moving shells. For this reason, it is necessary to study safety cases and corresponding shell parameters. In this study, we apply analytical and numerical methods for this purpose. The model of axially moving axisymmetric thin shell subjected to external forces is used to describe the distribution of membrane forces. This is performed in context of dynamical behavior of the considered moving shell and, as a result, the critical stresses can be analyzed taking into account the velocity and strength parameters. The distribution of the shell thickness is found as a function of the problem parameters. Special attention of the study is related with the analysis of in-plane tension influence on the behavior of the shell strength. Then, we present detailed analysis (solution) for particular cases: spherical shells, conical shells, elliptic shells and others. This study is partially supported by the Ministry of Science and Higher Education within the framework of the Russian State Assignment under contract No АААА-А20-120011690132-4 and partially supported by RFBR Grant 20-08-00082a. http://www.apm-conf.spb.ru/