On the modelling of dynamic problems for biperiodically stiffened cylindrical shells
Barbara Tomczyk · 2010
Thin linear-elastic cylindrical shells having a micro-periodic structure along two directions tangent to the shell midsurface (biperiodic shells) are objects of considerations. The aim of this contribution is to formulate a new mathematical non-asymptotic model for the analysis of dynamic problems for such shells. The model is derived by applying the combined modelling procedure presented in [11]. The combined modelling includes both the asymptotic as well as the non-asymptotic (tolerance) modelling techniques. The resulting combined model has constant coefficients and takes into account the length-scale effect. An important advantage of the proposed model is that it makes it possible to separate the macroscopic description of special dynamic problems from their microscopic description. Application of the resulting model equations to the analysis of a certain micro-vibration problem is presented.