Bityurin Anatolii Aleksandrovich Russia Ulyanovsk State Technical University, Russia, 432027, Ulyanovsk, Severniy Venec st., 32 zapas0712@yandex.ru, denjgy0706@yandex.ru Author's articles Mathematical modelling of critical speed of the multistage core at longitudinal blow Mathematical modelling of loss of stability of system of step and homogeneous cores at blow about the rigid barrier Tymoshenko's method Mathematical Modeling of Longitudinal Blauofthe System of Homogeneous Rodsabout Rigid Barrir at Increase Long Solids