ABSTRACT

Thin linearly elastic Kirchhoff-Love-type circular cylindrical shells of periodically microinhomogeneous structure in circumferential and axial directions (biperiodic shells) are investigated. The aim of the note is to formulate and discuss a new averaged non-asymptotic model for the analysis of selected dynamic problems for these shells. This, so-called, general tolerance model is derived by applying a certain extended version of the known tolerance modelling procedure. Contrary to the starting exact shell equations with highly-oscillating, non-continuous and periodic coefficients, governing equations of the tolerance model have constant coefficients depending also on a cell size. Hence, the model makes it possible to investigate the effect of a cell size on the global shell dynamics (the length-scale effect).