Engineering Transactions, 65, 1, pp. 171–178, 2017

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

Barbara TOMCZYK
Technical University of Łódź
Poland

Paweł SZCZERBA
Technical University of Łódź
Poland

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
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