On the modelling of thin uniperiodic cylindrical shells

The aim of this contribution is to propose a new averaged model of dynamic problems for thin linear-elastic cylindrical shells having a periodic structure along one direction tangent to the shell midsurface. In contrast with the known homogenized models, the proposed one makes it possible to describe the effect of the periodicity cell size on the global dynamic shell behavior (a length-scale effect). In order to derive governing equations with constant or slowly varying coefficients, the known tolerance averaging procedure is applied. The comparison between the proposed model and the model without the length-scale effect as well as the known length-scale model for cylindrical shells with the periodic structure in both directions tangent to the shell midsurface is presented.