Dynamics of medium thickness plates interacting with a periodic Winkler's foundation: non-asymptotic tolerance modelling

摘要

Medium thickness plates resting on a periodic Winkler's foundation are investigated. New averaged non-asymptotic models for those plates are proposed. These models are based on the tolerance averaging technique. The main feature of these models is that they describe the effect of period lengths on the overall behaviour of the plate. It is also shown that from governing equations of these models, equations of simplified averaged models (called asymptotic models) can be obtained. An additional interesting feature of the proposed models is that the equations describe also the effect of normal stress in the thickness direction.