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On dynamics and stability of thin periodic cylindrical shells

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  • Barbara Tomczyk

Abstract

The object of considerations is a thin linear-elastic cylindrical shell having a periodic structure along one direction tangent to the shell midsurface. The aim of this paper is to propose a new averaged nonasymptotic model of such shells, which makes it possible to investigate free and forced vibrations, parametric vibrations, and dynamical stability of the shells under consideration. As a tool of modeling we will apply the tolerance averaging technique . The resulting equations have constant coefficients in the periodicity direction. Moreover, in contrast with models obtained by the known asymptotic homogenization technique , the proposed one makes it possible to describe the effect of the period length on the overall shell behavior, called a length-scale effect .

Suggested Citation

  • Barbara Tomczyk, 2006. "On dynamics and stability of thin periodic cylindrical shells," International Journal of Differential Equations, Hindawi, vol. 2006, pages 1-23, September.
    • Handle: RePEc:hin:jnijde:079853
    DOI: 10.1155/DENM/2006/79853
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