On dynamics and stability of thin periodic cylindrical shells. (14th September 2006)

• Record Type: Journal Article
• Authors: Tomczyk Tomczyk, Barbara Barbara
• Is Part Of: Differential equations and nonlinear mechanics. Volume 2006/2006)
• Publication Date: 2006-09-14
• Subjects: Differential equations, Nonlinear -- Periodicals; Nonlinear mechanics -- Periodicals; Équations différentielles non linéaires; Mécanique non linéaire; Differential equations, Nonlinear; Nonlinear mechanics; Chaos Theory; Differential Equations; Periodicals; Electronic journals; 515.35
• DOI: 10.1155/DENM/2006/79853
• Languages: English
• ISSNs: 1687-4099

Abstract

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 .