期刊名称：International Journal of Differential Equations
印刷版ISSN：1687-9643
电子版ISSN：1687-9651
出版年度：2006
卷号：2006
DOI：10.1155/DENM/2006/79853
出版社：Hindawi Publishing Corporation
摘要：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.
