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Budownictwo i Inżynieria Środowiska

Budownictwo i Inżynieria Środowiska
2017.65, DOI: 10.7862/rb.2017.65

A NEW TOLERANCE MODEL OF VIBRATIONS OF THIN MICROPERIODIC CYLINDRICAL SHELLS

Barbara TOMCZYK, Anna LITAWSKA

DOI: 10.7862/rb.2017.65

Abstract

The objects of consideration are thin linearly elastic Kirchhoff-Love-type circular cylindrical shells having a micro-periodic structure in circumferential direction (uniperiodic shells). At the same time the shells have constant structure in axial direction. The aim of this contribution is to formulate and discuss a new non-asymptotic averaged model for the analysis of selected dynamic problems for these shells. This, so-called, general tolerance model is derived by means of a certain extended version of the known tolerance modelling of micro-heterogeneous media. This version is based on a new notion of weakly slowly-varying functions. Contrary to the starting exact shell equations with highly oscillating, non-continuous and periodic coefficients, governing equations of the tolerance model have constant coefficients depending also on a period of inhomogeneity. Hence, the model makes it possible to investigate the effect of a cell size on the global shell dynamics (the length-scale effect). The differences between the general tolerance model proposed here and the corresponding known standard tolerance model derived by means of the more restrictive concept of slowly-varying functions are discussed.

Full text (pdf)

References

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About this Article

TITLE:
A NEW TOLERANCE MODEL OF VIBRATIONS OF THIN MICROPERIODIC CYLINDRICAL SHELLS

AUTHORS:
Barbara TOMCZYK (1)
Anna LITAWSKA (2)

AUTHORS AFFILIATIONS:
(1) Lodz University of Technology
(2) Lodz University of Technology

JOURNAL:
Budownictwo i Inżynieria Środowiska
2017.65

KEY WORDS AND PHRASES:
uniperiodic shells, mathematical modelling, weakly slowly-varying functions, dynamic problems, length-scale effect

FULL TEXT:
http://doi.prz.edu.pl/pl/pdf/biis/830

DOI:
10.7862/rb.2017.65

URL:
http://dx.doi.org/10.7862/rb.2017.65

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