Engineering Transactions, 65, 1, pp. 179–191, 2017

A New Tolerance Model of Dynamic Thermoelastic Problems for Thin Uniperiodic Cylindrical Shells

Barbara TOMCZYK
Lodz University of Technology
Poland

Bartłomiej ŚLĘZOWSKI
Lodz University of Technology
Poland

The objects of consideration are thin linearly thermo-elastic Kirchhoff-Love-type circular cylindrical shells having a periodically micro-inhomogeneous structure in circumferential direction (uniperiodic shells). The aim of this note is to formulate and discuss a new non-asymptotic averaged model for the analysis of selected dynamic thermoelastic problems for these shells. Contrary to the starting exact shell equations with highly oscillating, non-continuous and periodic coefficients, the proposed tolerance model equations have constant coefficients depending also on a cell size. Hence, an important advantage of this model is that it makes it possible to investigate the effect of a period of inhomogeneity on the global shell thermodynamics (the length-scale effect). This effect is neglected in the known homogenized models derived by asymptotic methods.
Keywords: periodic shells; thermoelasic problems; tolerance modelling; length-scale effect
Full Text: PDF

References

Lewiński T., Telega J.J., Plates, Laminates and Shells. Asymptotic Analysis and Homogenization, World Scientific Publishing Company, Singapore, 2000.

Tomczyk B, Woźniak C., Tolerance models in elastodynamics of certain reinforced thin-walled structures, [in:] Statics, Dynamics and Stability of Structures, Kołakowski Z., Kowal-Michalska K (eds.), Lodz University of Technology Press, Lodz, pp. 123–153, 2012.

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.

Thermomechanics of Microheterogeneous Solids and Structures. Tolerance Averaging Approach, Woźniak C., Michalak B., Jędrysiak J. (eds.), Lodz University of Technology Press, Lodz, 2008.

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




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