Quasi-finite element model of rolling elastic wheels on uneven deformable substructure in nonlinear motion of a wheeled vehicle

One of the main directions of economic development of Russia was and should remain the accelerated development of the regions of the North and North-East, occupying more than 60% of the country. Further development of these areas requires new approaches and new technologies to solve transport and technological problems in the movement of goods and people in conditions where the roadway is off-road. At the same time, the movement of transport and technological machines is not only difficult, but in some cases completely excluded. The existing all-terrain vehicle equipment, made according to the old traditional schemes and commercially produced by the industry, does not meet the requirements that determine the efficiency and environmental friendliness of the engines of machines in complex natural and climatic conditions of operation. In this situation, the problem of forecasting the permeability of wheeled vehicles (KM) on the support surface with weak bearing properties is relevant. One of the main methods to predict permeability is a simulation of the motion of wheeled vehicles in different operating conditions, which are based on mathematical models of interaction between elastic tires with deformable irregularities of the support base. Currently in the theoretical study of the interaction of propellers with the ground formed two main directions: analytical method involving a mathematical description of the process under study and the finite element method based on computer simulation. The aim of this study is to develop a mathematical model of rolling elastic wheels on deformable rough reference base, taking into account the deformation of the contact patch at each end of the elementary playground. The mathematical model combines a mathematical description of the physical processes of interaction between elastic tires with uneven deformable substrates and finite element approach, based on consideration of processes in each end unit site of contact.

rolling of elastic wheels, irregularities of deformed support base, elementary area of the contact patch, prediction of patency of wheeled vehicles