The study of the stress-strain state of an elastically supported compressed strip

An analysis has been conducted on the continuous dependence of the function describing the behavior of the real structure on the characteristics of initial imperfections. A condition has been obtained, imposed on the parameter of external influence and the stiffness coefficient of the foundation, when that is violated, the shape of the cross-section of the strip will no longer be close to a rectangle, i.e. the strip loses shape stability. During the study, the parameters of external influences remained independent.
The first version of the article was published in Aktual'nye problemy prikladnoi matematiki, informatiki i mekhaniki [Current Problems of Applied Mathematics, Computational Science and Mechanics]. Voronezh, 2022. Pp. 1265–1269. (In Russian)