Geometrically nonlinear dynamic response of eccentrically stiffened circular cylindrical shells with negative poisson's ratio in auxetic honeycombs core layer

Present research aims to analyse the nonlinear dynamic behavior of eccentrically stiffened (ES) circular cylindrical shells with negative Poisson's ratios in auxetic honeycombs core layer on elastic foundations and subjected to blast and mechanical loads. This study considers a three - layer circular cylindrical shells in which the core layer is the auxetic material with negative Poisson's ratio, and the external layers are reinforced by a system of stiffeners. Based on the analytical solution, Reddy's first order shear deformation theory with the geometrical nonlinear in von Karman and Airy stress functions method, Galerkin method and the fourth-order Runge-Kutta method, out explicit expressions can be determined: fundamental frequency, dynamic response and frequency-amplitude curves. Numerical results are provided to explore the effects of geometrical parameters, material properties, elastic foundations, imperfections, eccentrically stiffeners, mechanical and blast loads on the nonlinear dynamic behavior: fundamental frequency, dynamic response and frequency-amplitude curves.