математическое моделирование

The Use of a Genetic Algorithm in Modeling the Electrophysical Properties of a Layered Nanocomposite

The research proposes an approach to solving the problem of selecting layered nanocomposite components with given electrical properties. The known methods for modeling the nanocomposites electrical characteristics are based on a preliminary analysis of such characteristics as the dielectric constant and electrical conductivity of the materials that make up a nanocomposite. The study proposes an algorithm for the selection of components of a layered nanocomposite using a genetic algorithm.

About Realisation of Finite-Element Modeling in Problems of an Osteosynthesis on Cluster Systems of SSU

In this article we describe the optimized cluster version of a package of finite-element modeling. This project titled «Development of Computational and information technologies using computer modeling on parallel computing complexes for traumatological and surgical evaluations to enable efficient diagnostic and medical recommendations».

Technology of Building Femur Bones Solid Models Based on Data from Computerized Axial Tomography

In this article we describe the technology used to build femur bone 3D models based on Computerized Axial Tomography data. This project is titled «Development of Computational and information technologies using computer modeling on parallel computing complexes for traumatological and surgical evaluations to enable efficient diagnostic and medical recommendations».

Graph approach for finite-element based model of an elastic body under conditions of axisymmetric deformation

 A numerical method for analysis of the stress – strain state of elastic media based on a discrete model in form of directed graph is suggested. To analyze a deformable body using the graph approach, we partitione a solid body on elements and replace each element by its model in the form of an elementary cell. The matrices, presenting several structure elements of the graph, and the equations, describing the elementary cells, contribute to deriving the constitutive equations of the intact body.

Parallel Algorithm of Optimal Parameters Calculation for the Single Channel Angular Stabilization System

On the instance of mathematical modeling of an independant angular stabilization system of rocket missiles of a volley fire developed a parallel algorithm for parametric synthesis, which allows to reduce the response time and stabilization errors of the operated combined dynamic systems, for which some design parameters change continuously in a fixed range.