Micro-vibrations and wave propagation in biperiodic cylindrical shells

• Autorzy: Tomczyk B. , Litawska A.
• Języki publikacji: EN

Abstrakty

EN

The objects of consideration are thin linearly elastic Kirchhoff-Love-type circular cylindrical shells having a periodically microheterogeneous structure in circumferential and axial directions (biperiodic shells). The aim of this contribution is to study a certain long wave propagation problem related to micro-fluctuations of displacement field caused by a periodic structure of the shells. This micro-dynamic problem will be analysed in the framework of a certain mathematical averaged model derived by means of the combined modelling procedure. The combined modelling applied here includes two techniques: the asymptotic modelling procedure and a certain extended version of the known tolerance non-asymptotic modelling technique based on a new notion of weakly slowly-varying function. Both these procedures are conjugated with themselves under special conditions. Contrary to the starting exact shell equations with highly oscillating, non-continuous and periodic coefficients, governing equations of the averaged combined model have constant coefficients depending also on a cell size. It will be shown that the micro-periodic heterogeneity of the shells leads to exponential micro-vibrations and to exponential waves as well as to dispersion effects, which cannot be analysed in the framework of the asymptotic models commonly used for investigations of vibrations and wave propagation in the periodic structures.

Słowa kluczowe

EN

biperiodic shells; asymptotic modelling; tolerance modelling; length-scale effect; microvibrations; wave propagation

PL

powłoka biperiodyczna; modelowanie asymptotyczne; modelowanie tolerancyjne; efekt skali; mikrodrgania; propagacja fali

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2018
• Tom: Vol. 22, nr 3
• Strony: 789--807
• Opis fizyczny: Bibliogr. 24 poz., 1 rys.

Twórcy

autor

Tomczyk B.

• Department of Civil Engineering, Warsaw University of Life Sciences, Nowoursynowska Str. 166, 02-787 Warsaw, Poland

autor

Litawska A.

• Department of Structural Mechanics, Lodz University of Technology, Politechniki 6, 90-924 Lodz, Poland

Bibliografia

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