hydroelasticity

Mathematical Modeling of Interaction Between Layer of Viscous Liquid and Elastic Walls of Channel, Which Was Installed on Vibration Foundation

Authors: Ageev R. V., Bykova T. V., Kondratova Y. N.

The article solves the problem of mathematical modeling dynamic processes in hydrosupport with elastic stator. The dynamic problem of hydroelasticity is found and amplitude and phase frequency characteristics of hydrosupport was built.

Mathematical and сomputer modeling of nonlinear waves dynamics in a coaxial physically nonlinear shells with viscous incompressible fluid between them

Authors: Blinkova A. Y., Kovalev A. D., Kovaleva I. A.

This study focuses on the analysis of nonlinear wave propagation deformations in the elastic physically nonlinear coaxial cylindrical shells containing a viscous incompressible fluid between them. Wave processes in an elastic cylindrical shell without interacting with fluid were previously studied from the standpoint of the theory of solitons. The presence of fluid required developing a new mathematical model and computer modeling of processes occurring in the system. 

The Problem of a Hydroelasticity for a Tube Ring-type a Profile with Elastic, Geometrically Irregular Outer Shell at Pressure Influence

Authors: Kondratov D. V., Popov V. S., Plaksina I. V., Kondratova Y. N.

The mechanical model presented in the form of a tube of ring section, formed by two surfaces of coaxial cylindrical shells cooperating

with viscous incompressible liquid is considered. The mathematical model of this system consisting of the differential equations

in private derivatives of describing dynamics of viscous incompressible liquid and an elastic ridge shell together with boundary

conditions is constructed.