## Abstract This work presents a new approach to the transient rolling contact of two‐dimensional elastic bodies. A solution will be obtained by minimizing a general B‐differentiable function representing the equilibrium equations and the contact conditions at each time step. Inertial effects are n
An algorithm to solve coupled 2D rolling contact problems
✍ Scribed by José A. González; Ramón Abascal
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 294 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0029-5981
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✦ Synopsis
This work presents a new approach to the steady-state rolling contact problem for two-dimensional elastic bodies, with and without force transmission. The problem solution is achieved by minimizing a general function representing the equilibrium equation and the contact restrictions. The boundary element method is used to compute the elastic in uence coe cients of the surface points involved in the contact (equilibrium equations); while the contact conditions are represented with the help of variational inequalities and projection functions. Finally, the minimization problem is solved by the Generalized Newton's Method with line search. Four classic rolling problems are also solved and commented on.
📜 SIMILAR VOLUMES
## Abstract Helmholtz equations with variable coefficients are known to be hard to solve both analytically and numerically. In this paper, we introduce a numerical multigrid solver for one‐dimensional Helmholtz eigenvalue problems with periodic potentials and solutions. The solvers employ wave–ray