Assessment of strength of local load prestressed moment free shell

Abstract

In the modern theory of elastic pneumatic previously tense moment free shell can be seen as one of the computer models pnevmatyc tire. Thus, one of the main types of payments is to calculate its radial compression. In such a setting and the challenge assess the actions of local power effects on shell. We consider the stress state air moment free shell around a point of the concentrated normal load. During the theoretical studies obtained asymptotic solution that is recommended to exclude when calculating features cordless tires on the effect of local load. The higher harmonics that are not in the formulas for a spherical shell, characterizing deviation arbitrary shell stress state of stress state of spherical shell. Calculations indicate that the impact of the difference curves and tension affects more at a sufficient distance from the pole. At the series is evident in some growth relative contribution of higher harmonics with increasing curvature. However, in a limited area of the pole, where interchanges series correctly describes the stress state of the shell, the convergence of the series is almost worse. Convergence solution is good thanks to the vibrational factors included in podintehralni expressions.