Mechanics

Chaotic Motion of Nonlinear System

Authors: Aslanov V. S., Ivanov B. V.

Chaotic motion of a body of the blunted form in an atmosphere described is considered by the nonlinear differential equation of the second order. On a body the restoring moment, the small perturbed periodic moment and the damped moment operates. The phase portrait of the unperturbed system has points of unstable balance. On the basis of Melnikov method the criteria determining borders of chaos of system are found. The results of the numerical simulations confirming validity, received criterion are submitted.

Research and Development of Bidimentional Mathematical Models of Pulsing Detonation Engines for Perspective Flying Devices

Authors: Shindyapin G. P., Shevirev S. P., Porshnev V. A.

In the present paper the design procedure of parameters and performances of the pulsing detonation engine with a diffuser and the ejector on different conditions and stages of its operation develops. Construction of numerical methods of a solution of a commitment by definition parameters of flow of yields of a knocking and air to the detonation engine in different instants is carried on. Determining of a general pulse of the detonation engine with a diffuser and the ejector for one clock tick of operation.

Estimation of Structure and Parameters of the Atmospheric Air Pollution Monitoring Observant Network

Authors: Chervanev V. O.

The estimation procedure of existing structure and parameters of the observant network on basis of results of the imitating model with use of diffusion mathematical model of impurity carrying in view of restrictions is given.

On Modelling of the Human Skin

Authors: Fedorov A. E., Samartsev V. A., Adamov A. A.

The mechanical properties of the skin at small and finite deformations are investigated. The models are suggested approximating viscoelastic properties of the skin. The constitutive relations for three-dimensional stress-strain state are developed. Models parameters are determined by experiments in uniaxial tension of the skin specimens.

The Formulation of the Mathematical Model Deep-Water of the Oil Raiser, Interacting with Internal Flow of Gas-Liquid Mixture

Authors: Toropova O. A.

A new mathematical model for calculating the characteristics of a stress-deformated state of a deepwater raiser that interacts with an inner two-phase stream of the gas-liquid mixture, is formulated. The singular-disturbance type problem of nonlinear hydroelasticity is being solved.

The Equations of Continuousness in Bidimentional Models of Filtration Liquid and Gas in the Bent Layers of Final Thickness

Authors: Tolpaev V. A., Paliev V. V.

The finding of equation of continuousness for construction a bidimentional models of filtration a compressed liquid in the bent layers of final thickness is given, the porous environment in which can show sorb properties. As the special case is given the equation of continuousness for filtration of a compressed liquid in rather thin bent layers with sorbing and nonsorbing porous environment.

Movement of a Firm Body With a Liquid of Small Viscosity

Authors: Aslanov V. S.

On the basis of the approach F.L. Tchernousko the equations in the integro-differential form of spatial movement of a body with a cavity wholly filled liquid of small viscosity are received. For a special case of movement the integro-differential equation is shown to ordinary differential, and with the help of a method of averaging the approached analytical decision is received. The examples showing accuracy of the received decision and influence of parameters of system on its movement are given.

The Analysis of Conditions of a Refraction of a Shock Wave with Education of a Wave of Underpressure or the Reflected Shock Wave

Authors: Shindyapin G. P., Matutin A. A.

Conditions of a refraction of a shock wave are considered, at interaction of a flat shock wave with a free surface dividing gas and Gas-liqiud (bubble) medium. The analysis of fluxions with the help of the asymptotic theory of the short waves using locally fixed-ratio thermodynamic model газожидкостной of a medium, reduces in an establishment of fields of existence of conditions of a refraction: non-regular, the regular with a suction wave; the regular, education of the shock wave closing a zone of underpressure; the regular with the reflected shock wave.

Modelling of Microcirculation: Unsteady Interstitial Fluid Flow in Tissue

Authors: Shabrykina N. S.

Microcirculation is a key element of human metabolism. Every pathological condition of human organism causes different changes in blood flow. And vice versa, many of the microcirculatory disorders appear before and stay longer after then other disease symptoms. Modelling of microcirculation help us to understand complex interconnected metabolic processes, to find out causes of different diseases and to offer ways of their treatment.

Mathematical Simulating Thermal Exfoliation of Graphite

Authors: Olshansky V. Y.

There has been examined a mathematical model of item obtaining from the oxidized graphite powder by means of exfoliating at heating in a metal mould. Temperature equaling discovered in a numerical experiment by the ultimate stage of the process allows to build asymptotic expansion of the solution in one-dimensional case. Temperature- and speeds fields in two-dimensional axisymmetric case are numerically defined by the shock-capturing method.

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