Macro-dynamic of micro-periodic elastic beams

The aim of the paper is to propose a certain method of macro-modelling of micro-periodic elastic beams. The approach is based on the concepts of a non-asymptotic macro-modell proposed by Woźniak [3]. In this paper the equations of motion for a straight linear elastic micro-periodic beam has been obtained. A solutions of a dynamic eigenvalue problem and steady state harmonic vibration have been presented. The problems were analized within the engineering theory of elastic beams.