On thermoviscoelastic wheel-rail contact problems

• Autorzy: Chudzikiewicz A. , Myśliński A.
• Konferencja: Symposium Vibrations in Physical Systems (XXI ; 26-29.05.2004 ; Poznań-Kierz, Polska)
• Języki publikacji: EN

Abstrakty

EN

This paper is concerned with the numerical solution of wheel - rail rolling contact problems. The unilateral dynamic contact problem between a viscoelastic body and a rigid foundation is considered. The contact with Coulomb friction law occurs at a portion of the boundary of the body. The contact condition is described in velocities. The friction coefficient is assumed to be bounded and suitable small. A frictional heat generation and heat transfer across the contact surface as well as Archard's law of wear in contact zone are assumed. The equlibrium state of this contact problem is described by the coupled hyperbolic variational inequality of the second order and a parabolic equation. To solve numerically this contact problem we will decouple it into mechanical and thermal parts. Finite difference and finite element methods are used to discretize the contact problem. The Augmented Lagrangian technique combined with the active set method are employed to solve the discretized contact problem. Numerical examples are provided.

Słowa kluczowe

EN

numerical solution; Coulomb friction; wheel-rail rolling contact

PL

toczenie koła z szyną; tarcie Coulomba; numeryczne rozwiązanie

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2004
• Tom: Vol. 21
• Strony: 119--122
• Opis fizyczny: Bibliogr. 6 poz., wz.

Twórcy

autor

Chudzikiewicz A.

• Warsaw University of Technology, Ul. Koszykowa 75, 00-662 Warszawa, Poland

autor

Myśliński A.

• Systems Research Institute, Ul. Newelska 601 - 447 Warsaw, Poland

Bibliografia

• 1. A. Chudzikiewicz, A. Myśliński, : Wheel - Rail Contact Problem with Wear and Heat Flow, Proceedings of the 7 VSDIA Conference, (2002), 149-157.
• 2. N. Strömberg, L. Johansson, A. Klabring, Derivation and Analysis of a Generalized Standard Model for Contact, Friction and Wear, International Journal of Solids and Structures, 33(1996) 1817--1836.
• 3. K.T. Andrews, A. Klabring, M. Shillor, S. Wright, On the dynamic behavior of a thermoviscoelastic contact problem with friction and wear, International J. Engng. Sci, 35(1997) 1291--1309.
• 4. M. Bergonioux, K. Ito, K. Kunisch, Primal - Dual Strategy for Constrained Optimal Control Problems, SIAM Journal on Control and Optimization, 37(1999) 1176--1194.
• 5. C. Eck, J. Jarusek, The Solvability of a Coupled Thermoviscoelastic Contact Problem with Small Coulomb Friction and Linearized Growth of Frictional Heat, Mathematical Methods in the Applied Sciences, 22 (1999) 1221--1234.
• 6. M. Ertz, K. Knothe, A comparison of analytical and numerical methods for the calculation of temperatures in wheel/rail contact, Wear, 253 (2002) 498--508.