Dynamics of flexible shells and Sharkovskiy's periodicity. (18th September 2006)

• Record Type: Journal Article
• Authors: Krysko Krysko, Vadim A. Vadim A.; Awrejcewicz Awrejcewicz, Jan Jan; Saveleva Saveleva, Natalya E. Natalya E.; Krysko Krysko, Anton V. Anton V.
• Is Part Of: Differential equations and nonlinear mechanics. Volume 2006/2006)
• Publication Date: 2006-09-18
• 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/2006/59709
• Languages: English
• ISSNs: 1687-4099

Abstract

Abstract : Complex vibration of flexible elastic shells subjected to transversal and sign-changeable local load in the frame of nonlinear classical theory is studied. A transition from partial to ordinary differential equations is carried out using the higher-order Bubnov-Galerkin approach. Numerical analysis is performed applying theoretical background of nonlinear dynamics and qualitative theory of differential equations. Mainly the so-called Sharkovskiy periodicity is studied.