ABSTRACT
The objects of consideration are thin linearly elastic circular cylindrical shells of a heterogeneous microstructure which is periodic in circumferential direction and slowly space-varying in axial direction. The aim of the note is to formulate a new mathematical non-asymptotic model for the analysis of selected dynamic problems for such kind of shells. The coefficients of the governing model equations are constant in circumferential direction and continuously slowly-varying in axial direction. The proposed model makes it possible to study the effect of a cell size on the global shell dynamics (the length-scale effect). The formulation of this averaged model is based on a tolerance modelling technique (Woźniak et al. 2010).
