- Tytuł:
- Solving a system of nonlinear equations with the use of optimization methods in problems related to the wheel-rail contact
- Autorzy:
-
Jureczko, M.
Duda, S. - Powiązania:
- https://bibliotekanauki.pl/articles/122469.pdf
- Data publikacji:
- 2016
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
wheel-rail contact
system of nonlinear equations
Newton's method
trust region method
Levenberg-Marquardt method
damped Newton’s method
styk koło-szyna
układ równań nieliniowych
metoda Newtona
metoda Levenberg-Marquardt - Opis:
- 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.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 2; 53-64
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł