Dynamic Analysis of Sandwich Cylindrical Shells

We present a dynamic analysis of cylindrical shells and study new mechanical effects in the distribution of stresses, strains, and displacements. Cylindrical shells are studied within the framework of the Kirchhoffndash;Love hypothesis and the refined Timoshenko model.     

Free Vibration of the Axially Loaded System of Two Beams Connected by a Two-Directional Viscoelastic Interlayer

In this paper, the analytical method has been used for solving a problem of free vibration with clamping of an axially loaded sandwich beam. The sandwich beam consists of two external layers connected by a viscoelastic two-directional Winkler interlayer. The upper external layer is described by the Bernoulli–Euler model, which is loaded by a constant axial force. The lower external layer is modeled as the Timoshenko model. The phenomenon of free vibration has been described using a homogenous system of conjugate partial differential equations. After separation of variables in the system of differential equations, the boundary problem has been solved and three complex equations for the definition of frequency and modes of free vibration have been obtained. The free-vibration problem for arbitrarily assumed initial conditions and various axial forces has been considered.     

Vibrations of a Complex System with Damping under Dynamic Loading

This paper introduces an analytical-numerical method for solving a problem related to free and forced damping vibrations of a complex system that consists of two plates coupled with a viscoelastic interlayer. On the basis of the designed method, we perform numerical analysis by means of the Timoshenko and Kirchhoff–Love models and investigate new mechanical effects attributable to the action of various types of dynamic loading on the system considered.     

Vibrations of a Complex System with a Viscoelastic Inertial Interlayer

This paper presents an analytical method for solving problems of free and forced vibrations with damping of complex systems whose loaded layers are made of homogeneous elastic inertial materials and whose middle layer is made of viscoelastic inertial material. Small lateral vibrations of the complex systems are caused by distributed and movable loads. A dynamic analysis of laminated structures for a wide range of variation of the geometrical and mechanical characteristics of a layer from viscoelastic inertial material was performed.