Vibrations of plates with initial geometrical periodical imperfections interacting with a periodic elastic foundation

摘要

The aim of this contribution is to formulate an engineering theory describing the effect of periodic structure of the elastic foundation on the dynamic behaviour of a plate with geometrical periodical imperfections, Fig. 1. It is shown that the obtained solutions depend on the structure length parameter l of the elastic foundation and the wave length of imperfections. The general results are illustated by an example and compared with the known theories of Ortheotropic plates.