Dynamic modeling and vibration characteristics of sandwich cylindrical shell with metal-rubber core

Abstract

This work aims to identify ways for the equivalent material parameters of metal-rubber (MR), as well as the establishment of theoretical and numerical methods for sandwich cylindrical shells with metal-rubber core (SCS-MR) under thermal conditions. To achieve this goal, the first-order shear deformation theory and Hamiltonian principle are used to derive equations and expressions that consider temperature variations and elastic boundary constraints. This leads to the development of a novel dynamic model for sandwich cylindrical shell structures in a thermal environment. Furthermore, the study analyzes how vibration frequencies are affected by boundary spring stiffness and axial truncation number of displacement-permitted functions using the Jacobi-Ritz method. The impact of aspect ratio, core layer thickness ratio, and temperature on the vibration frequencies of SCS-MR is discussed. The results indicate that temperature slightly affects the frequency of SCS-MR. As the aspect ratio increases, the vibration frequency tends to decrease, irrespective of the circumferential wave number. However, the circumferential wave number plays a considerable role on vibration frequency associated with the core layer thickness ratio.