Abstract
A dynamic zooming analysis method (ZAM) is presented, to calculate efficiently dynamic contact stresses and their distributions by the finite element method (FEM). The zooming region is determined by the same method as the static ZAM. However, displacements and velocities of nodal points in the region are iteratively computed by use of boundary values until their values approach the correct ones at a specific discrete time. this method is used to evaluate correctly the approximated initial values of the equation of motion. To verify this dynamic ZAM, we analyze the dynamic contact stresses of contact-impact problems under a condition starting from very roughly approximated initial values. The results calculated by this ZAM agree with those directly obtained by the elastodynamic contact FEM. The dynamic ZAM is efficient to analyze the dynamic contact problems and the dynamic stress concentrations by a small machine memory. Then, this method can be applied to the elastodynamic contact analysis of structures consisting of complicated configurations such as mating gears.
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