Nonlinear Vibration of Oblique-Stiffened Multilayer Functionally Graded Cylindrical Shells Under External Excitation with Internal and Superharmonic Resonances

This research examines a semi-analytical approach for analyzing the nonlinear vibration (NV) characteristics of oblique-stiffened multilayer functionally graded (OSMFG) cylindrical shells (CSs) under external excitation. The material’s properties are continuously graded along the thickness direction. The CSs are made up of three layers: an inner metal-rich layer, an exterior ceramic-rich layer, and a functionally graded (FG) layer in between. The stiffeners’ constitutive material is graded constantly throughout their thicknesses. von Kármán equations, the smeared stiffener technique, and the Galerkin approach are used to address the NV problem. The vibration behavior is investigated via the method of multiple scales (MMSs). The analysis considers an internal resonance of 1:1/3:1/9 as well as a superharmonic resonance of order 3/1. The impacts of various material and geometric characteristics on the NV of OSMF-CSs are thoroughly investigated.