15.4.4 Contact Stress Accuracy Evaluation 15.4.4.1 Static Loadcases Two exemplary loadcases are documented within this section. The first loadcase denoted as LC1 is a vertical tip load while the second loadcase denoted as LC2 additionally comprises a torsional moment. It is noted that both loadcases are not explicitly considered as certain load combination during computation of the snapshots for obtaining the reduction basis (Fig. 15.4). The according contact pressure distributions in surface normal direction are depicted in Fig. 15.5. The relative error of the contact stresses in surface normal direction is chosen as evaluation criteria. This quantity illustrates whether the computed contact stresses are useful for subsequent computations, e.g. for the computation of shear stresses due to friction. For a vector y the relative error vector is given by erel ¼ y yref yref 1 ð15:31Þ where :k k1 denotes the maximum norm of a vector andyref denotes the reference values obtained from the full model. For computation of the contact pressure relative error the maximum contact pressure value of the reference solution is used as reference value. Fig. 15.4 Resulting displacement of the two substructures for LC1 (left) and LC2 (right) Fig. 15.5 Contact pressure obtained from the full model for loadcase LC1 (left) and loadcase LC2 (right) 176 M. Breitfuss and H.J. Holl
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