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Solving Rolling Contact Problems Using Boundary Element Method and Mathematical Programming Algorithms

José A. González, Ramón Abascal1

1 Escuela Superior de Ingenieros, Seville, Spain.

Computer Modeling in Engineering & Sciences 2000, 1(3), 141-150. https://doi.org/10.3970/cmes.2000.001.443

Abstract

In this work an approach to the two-dimensional steady-state rolling contact problem, with and without force transmission, is presented. The problem is solved by the combination of the Boundary Element Method with a formulation of the variational inequalities that govern the problem in the contact area, producing finally a mathematical programming problem. This formulation avoids the direct use of the contact constrains, but it drives to the minimisation of a non-differentiable function, being necessary the use of an specific numerical tool as the modified Newton's method.

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Cite This Article

A., J. (2000). Solving Rolling Contact Problems Using Boundary Element Method and Mathematical Programming Algorithms. CMES-Computer Modeling in Engineering & Sciences, 1(3), 141–150. https://doi.org/10.3970/cmes.2000.001.443



cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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