Vibration Analysis of Grid-Stiffened Circular Cylindrical Shells with Full Free Edges

Abstract

Free vibration of grid stiffened circular cylindrical shells is investigated based on the first Love's approximation theory using Galerkin method. Full free edges are considered for boundary conditions. An equivalent stiffness model (ESM) is used to develop the analytical solution of the grid stiffened circular cylindrical shell. The effect of helical stiffeners orientation and some of the geometric parameters of the structure have been shown. The accuracy of the analysis has been examined by comparing results withthose available in the literature and finite element approach.

Analytical modeling of a thin-walled cylindrical workpiece during the turning process. Stability analysis of a cutting process

“…The system of differential equations of dynamics of the shell, expressed in terms of the axial, circumferential and radial components of displacement, was conducted by using variational principles. The research of solutions of this system is performed by Fourier expansion of the components of displacement along the circumferential direction and beam functions in axial direction [12][13][14] and uses the Galerkin's method [15][16][17]. The obtained analytical model allows estimating the boundaries of stability zones for the continuous cutting process.…”