MATHEMATICAL MODELING OF AERODYNAMICS AND DYNAMICS OF MAGLEV-TYPE VEHICLES USING THE METHOD OF DISCRETE FEATURESR

Abstract

The transition of society to a qualitatively new technical level is a central part of today’s world. The high pace of scientific and technological development and economic globalization in the 21st century contradicts the slow pace of development and the possibilities of modernizing existing transport systems. Effective, high-quality technical solutions are needed to dramatically improve the speed and capacity of transport systems. Reducing energy costs and improving safety are also essential. In addition, stringent environmental requirements are being formed. Breakthrough technological solutions in the field of transportation systems can contribute to Ukraine’s economic growth. The introduction of new technologies based on new physical principles can contribute to a qualitative leap in the country’s economic development. The development and implementation of new technologies such as Maglev and Hyperloop is a prerequisite for the scientific and technological development of society. However, the creation of such high-speed transportation using these technologies requires solving a number of scientific problems. The paper considers the coupled problem of modeling the aerodynamics and motion dynamics of high-speed ground transportation vehicles. For the efficient use of aerodynamic effects, it is proposed to equip the vehicle with a wing, which will unload the magnetolevitation devices. This will reduce the energy consumption for maintaining the vehicle over the road structure. In addition, the presence of bearing surfaces can be used to help stabilize the movement. The aerodynamic processes were modeled using singular integral equations. For this purpose, the vehicle’s bearing system is represented by a set of attached and free discrete vortices. The use of an ideal fluid model to calculate the bearing system of a magnetically levitating vehicle allows us to formulate the aerodynamic problem as a Neumann problem for the Laplace equation. The vehicle has a complex geometric shape, so when modeling its flow, several surfaces of the unsteady wake are provided. To calculate the parameters of motion stability, a system of differential equations is solved for the dynamics of the vehicle motion near the road structure. The simulation results showed that the use of the screen effect formed under the influence of the proximity of the road structure helps to unload magnetolevitation devices. The proximity of the ground creates a danger of a vehicle collision with the road structure with a loss of dynamic stability. The presence of bearing surfaces of the vehicle helps to improve stability parameters.