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Tolerance modelling of nonstationary problems of microheterogeneous media and structures

Jędrysiak J., Domagalski Ł., Marczak J., Pazera E.

Vibrations in Physical Systems

2018

Vol. 29

art. no. 2018001

In this note a certain review of applications of a non-asymptotic modelling approach, called the tolerance modelling, is presented. Some objects and thermomechanical problems are shown, with a general outline of this method and an example of application for nonlinear vibrations of periodic beams.

2D tolerance and asymptotic models in elastodynamics of a thin-walled structure with dense system of ribs

Michalak B.

Archives of Civil and Mechanical Engineering

2015

Vol. 15, no. 2

449--455

The object of analysis is a plane structure reinforced by a system of thin parallel-distributed ribs. It will be assumed that the number of the ribs is very large. The thickness of neighbouring ribs can smoothly change. The aim of contribution is to derive 2D-macroscopic mathematical models describing elastodynamic behaviour of the plate structure in plane-stress state. The consideration will be based on the tolerance averaging technique 0045 and 0050. The general results of the contribution will be illustrated by the analysis of the free vibrations of a structure under consideration.