Solving a system of nonlinear equations with the use of optimization methods in problems related to the wheel-rail contact

Abstract

Abstract. The article presents the methods for defining the geometry of the contact surface between a rigid wheel and a rigid rail. The calculation model that has been developed allowed for any arrangement of the wheel in relation to the rail. This allowed for the creation of a system of nonlinear equations, the solution of which allows one to determine the presumable wheel-rail contact points. The search for the solution of the system of strongly nonlinear equations was conducted using a few optimization methods. This allowed one to study both the selection of the starting point and the convergence of the method.

Modelling and simulation of a robotic work cell

“…The complexity and diversity of the components being the part of the robotized production workcells make it necessary to develop, already at the stage of designing, models representing various aspects of their construction and operation. For each production plant, there are a large number of subsystems and factors that directly or indirectly affect the productivity, efficiency and synchronization of a production process at that plant [3][4][5][6][7][8][9][10][11][12][13][14][15]. The complexity of the issues involved in robotized production workcells designing requires searching the proper architectural solutions in the processes of designing, modeling and simulating these systems.…”