Abstract:

Algorithms have been developed for determining the frequencies of free oscillations of a thin flat smooth and folded shell, reflecting the features of the operation of a structure with continuous and discontinuous parameters. A mathematical model of a folded flat shell on a square plan has been developed. A method has been developed for positioning a shear elastic-plastic insert (EPI) in a folded shell, based on identifying the conditions for the occurrence of minimum frequencies of free vibrations and determining dangerous sections of the shell with maximum shear forces arising from vibrations.

Keywords: Shell; cut; plate; single functions.