Length-Scale Effect in Stability Problems for Micro-Periodically Stiffened Cylindrical Shells

Abstract

Thin linear-elastic cylindrical shells having a micro-periodic structure along one direction tangent to the shell midsurface (uniperiodic shells) are object of considerations. The aim of this paper is to investigate the effect of a periodicity cell size on the stationary stability of such shells. In order to take into account the length-scale effect in special stability problems, a new averaged non-asymptotic model of uniperiodic shells, proposed by Tomczyk in [2], is applied. In the framework of this model not only the fundamental “classical†critical forces but also the new additional higher-order critical forces depending on the period of heterogeneity will be derived and discussed.