Issue link: https://resources.randsim.com/i/1504493
193 ©2023 ANSYS, Inc. Define - the scoping region: node/edge/surface/body - the base result: displacement/velocity/acceleration Three successive reductions are necessary to convert the base-result field onto a scalar-value criterion: 1) the Component reduction converts the pointwise quantity (eg, complex disp.) onto a real scalar field 2) ... that the Spatial reduction aggregates over the scoping 3) .. and, finally, the Frequency reduction aggregates over the frequency interval Learning by examples: step 2 – define the UDC-harmonic The base-result is a complex 3d vector field depending on the x-location and ω-frequency Component reduction Spatial reduction Frequency reduction ( ) ( ) 1 0 1 0 Freq-reduction = "Average" 1 UDC f d = − ( ) ( ) ( ) ( ) ( ) Spatial-reduction = "Average" , S S w s g k s ds f w s ds = ( ) ( ) ( ) ( ) ( ) 2 2 Component-reduction="X" , Re , Im , x x x k s u s u s = + ( ) ( ) ( ) ( ) Based-result = "Displacement" , , , , s-th point, w-th freq. x y z u s u u u s = k(.) is a real scalar field depending on the location and frequency f(.) is a scalar field only depending on the frequency Output: scalar value