On stability of thin periodically, densely stiffened cylindrical shells

The aim of this contribution is to propose a new averaged nonasymptotic model of stationary stability problems for thin linear-elastic cylindrical shells reinforced by stiffeners which are periodically, densely spaced along one direction tangent to the shell midsurface. As a tool of modelling we shall apply the tolerance averaging technigue . The resulting equations have constant coefficients in the periodicity direction. Moreover, in contrast with models obtained by the asymptotic homogenization technique , the proposed one makes it possible to describe the effect of the periodicity cell size on the global shell stability ( a length-scale effect ). It will be shown that this effect plays an important role in the shell stability analysis and cannot be neglected.