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On modelling of dynamic problems for elastic periodic plates
Author(s) -
Wozniak Czeslaw,
Wierzbicki Ewaryst
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310370
Subject(s) - constant (computer programming) , mathematical analysis , third order , plate theory , mathematics , bending of plates , geometry , order (exchange) , mechanics , physics , materials science , computer science , bending , thermodynamics , boundary value problem , philosophy , theology , economics , programming language , finance
The subject of analysis are thin elastic plates with a periodic structure along the midplane. The aim of this contribution is to formulate a new effective 2D‐model of the plate, i.e. a 2D‐model represented by equations with constant coefficients. It is assumed that the period lengths are of an order of the mean plate thickness.