A New Asymptotic-Tolerance Model of Dynamic Problems for Transversally Graded Cylindrical Shells

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Authors

  • Barbara TOMCZYK Technical University of Łódź, Poland
  • Paweł SZCZERBA Technical University of Łódź, Poland

Abstract

The objects of consideration are thin linearly elastic Kirchhoff-Love-type open circular cylindrical shells having a functionally graded macrostructure and a tolerance-periodic microstructure in circumferential direction. The aim of this note is to formulate and discuss a new non-asymptotic averaged model for the analysis of selected dynamic problems for these shells. The proposed asymptotic-tolerance model equations have continuous and slowly varying coefficients depending also on a cell size. An important advantage of this model is that it makes it possible to study micro-dynamics of tolerance-periodic shells independently of their macro-dynamics.

Keywords:

thin transversally graded shells, tolerance modelling, length-scale effect

References

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