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1 Journal of Applied Mathematics and Computational Mechanics

1 2016

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

Jureczko M., Duda S.

Journal of Applied Mathematics and Computational Mechanics

2016

Vol. 15, nr 2

53--64

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.