GEOMETRICALLY NONLINEAR VIBRATIONS OF THIN VISCO-ELASTIC PERIODIC PLATES ON A FOUNDATION WITH DAMPING: NON-ASYMPTOTIC MODELLING

Main Author: Jędrysiak, Jarosław
Format: Article Journal
Terbitan: , 2017
Subjects:
Online Access: https://zenodo.org/record/1119631
Daftar Isi:
  • The objects under consideration are thin visco-elastic periodic plates with moderately large deflections. Geometrically nonlinear vibrations of these plates are investigated. In order to take into account the effect of microstructure size on behaviour of these plates a non--asymptotic modelling method is proposed. Using this method, called the tolerance modelling, model equations with constant coefficients involving terms dependent on the microstructure size can be derived. In this paper, only theoretical considerations of the problem of nonlinear vibrations of thin visco-elastic periodic plates resting on a foundation with damping are presented.