Stationary deformation of cylindrical shells with viscoelastic filler

Abstract

The task of determining the dynamic response of plates and shells to moving loads is very relevant. The purpose of this work is to study the stationary deformation of infinitely long cylindrical shells with viscoelastic filler when moving along the axis of the shell of a wave of normal pressure with up to resonant velocity under the influence of normal moving loads. The paper presents a mathematical formulation of the problem, developed methods of solution and obtained numerical results. The solution methods are based on the joint application of the integral Fourier transform in the axial coordinate and the decomposition of all given and desired values into Fourier series in the angular coordinate. An effective algorithm for solving the problem has been developed and implemented on a computer. It is established that with the distance from the point of application of force along the circumference of the voltage for all considered cases, the sign changes. If the connection is one-sided, then tensile stresses arise, and the shell will detach from the filler. It has also been found that changes in the stiffness and rheological properties of the filler in the considered range have little effect on the length of the contact zone.

Non-axisymmetric problems of unsteady deformation of cylindrical shells with filler

“…t , we take the threeparameter Rzhanitsyn-Koltunov core [19], which has a weak singularity, where are the parameters   , , A of the materials [20]. Let's take the following parameters:…”

Energy dissipation under natural vibrations of viscoelastic composite cylindrical shells

“…Among the advantages of composite shells, in addition to low weight and high bearing capacity, are also high dissipation coefficients [18,19]. A significant advantage in this case is the possibility of controlling the dissipation coefficients by purposefully changing the parameters of the structure of the composite material [20,21]. The quality of three-layer fairings of modern launch vehicles is determined not only by their carrying capacity and mass characteristics, but also by the ability to provide acoustic protection for the payload launched into orbit under external acoustic impact with an acoustic pressure level of up to 160 dB [22].…”