Abstract
A contact detection algorithm using Overhauser spline was used, solving contact problems with finite element method. Contact area defined by objects boundaries could be approximated in different ways. It can be modelled using straight lines between nodes, finite element shape functions or interpolation functions over boundary nodes respectively. As line description gives a poor approximation of the boundary, shape functions are widely used to describe the analysed geometry. C° inter-element continuity of the geometry description is provided by the isoparametric elements. As the 'smooth' and accurate geometry description is crucial to contact stress analysis, decoupling of the geometry from the polynomial shape functions and implementation of the Overhauser splines is suggested in the present work. Single parametric curve is used to model the contacting surface offering the C* continues description of the boundary enabling exact boundary condition imposition. On the other hand geometry description using splines provides the data required for actual contact area determination and exact contact size calculation. In presented contact algorithm redundant boundary definition is introduced to eliminate the problem of poor inter-element continuity of shape functions. Implementation of suggested approach as it is used in developed finite element code is presented. Benefits and drawbacks of proposed approach are discussed. The developed code is then used for solving contact problems in gears.
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