Violin top with f-hole.

All analysis are performed with constant (maximum) arch height of 13 mm and constant material parameters (spruce with the density of 482 kg/m3).

F2 = X mode, F5 = Ring mode.

Boundary condition: Free-free.

The thickness distribution on the top is constant.

The values of (constant) thickness in the graph below vary from 1,8 to 3,8 mm.

Results from the numerical calculations are shown in the graphs below. In the graphs, relations between resonance frequencies and thickness are presented together with mode shapes. The small pictures on mode shapes are placed right over or under the corresponding resonance frequency point. In the mode figures, areas with blue color have no movements, areas with green color moderate movements and areas with red color great movements. A linear connection for mode 5 is also given.