Computational Simulation of the Mechanical Equipment’s Dynamic and Strength Characteristics

Boyarshinov M.G., Balabanov D.S.

The vehicle exhaust gas concentration field in the atmosphere of a city block is described by means of solving the system of Euler’s partial differential equations (those of continuity, motion, energy, and state) with the corresponding boundary conditions. The numerical solution is obtained by Davydov’s large particle method. The numerical experiment made it possible to determine the distributions of the main gasdynamic parameters of the gas-air mixture flow and the distribution of the concentration of carbon monoxide entering in the composition of the exhaust gases throughout a three-dimensional domain of complicated shape.

Basin M.E., Boyarshinov M.G.

An original mathematical model for description of the combined flow of a viscous lubricating layer and elastoplastic drawing deformation of a multilayer product has been developed. The theory of plastic flow with linear anisotropic hardening has been used for description of the material's behavior. The O. M. Belotserkovskii approach has been applied to the determination of the pressure in the lubricating layer. The problem of elastoplastic deformation of the product in the hydrodynamic-friction regime has been solved using the model developed.

Boyarshinov M.G., Gitman M.B., Trusov P.V.

A new approach to modeling processes of elastoplastic cyclic bending on roller levellers for beam straightening, levelling of long-dimensional profiles with arbitrary cross-sections, and some other applications of a similar kind, is proposed. Standard techniques for modeling the above-mentioned processes do not account for longitudinal motion, and, therefore, are not completely adequate. The stress-strain state (SSS) at every point of the material is determined not only by its position but also by its strain history. In modeling the processes of cyclic bending, use is made of the Euler-Lagrange approach to formulating the governing equations, together with traditional assumptions such as the hypothesis that plane cross-sections remain plane, stationarity of the processes, and the theory of anisotropic hardening. These allow one to take into account the strain history of moving material particles. The method developed makes possible the determination of not only the longitudinal components of the strain and stress tensors, but also the transverse components, as well as the beam profile's curvature, level and distribution of residual stresses.