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

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

Technical University of Łódź

Technical University of Łódź

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
Full Text: PDF


Lewiński T., Telega J.J., Plates, laminates and shells. Asymptotic analysis and homogenization, Word Scientific Publishing Company, Singapore, 2000.

Suresh S., Mortensen A., Fundamentals of Functionally Graded Materials, Cambridge: The University Press, 1998.

Tomczyk B., Length-Scale Effect in Dynamics and Stability of Thin Periodic Cylindrical Shells, Scientific Bulletin of the Lodz University of Technology, No. 1166, series: Scientific Disserations, Lodz University of Technology Press, Lodz, 2013.

Woźniak C., Michalak B., Jędrysiak J. (eds), Thermomechanics of microheterogeneous solids and structures. Tolerance averaging approach. Lodz University of Technology Press, Lodz, 2008.

Woźniak C., et al. (eds), Mathematical Modelling and Analysis in Continuum Mechanics of Microstructured Media, Silesian Technical University Press, Gliwice, 2010.

Copyright © 2014 by Institute of Fundamental Technological Research
Polish Academy of Sciences, Warsaw, Poland