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The curvature of the violin panel

The curvature affects the strength of the top plate, so the design of the violin must be considered based on its structural performance. The curvature also changes the resonance and sound transmission of the violin.

The total tension of the strings is about 30kg and the pressure of the piano code (the pressure exerted by the strings on the panel through the code is about 10kg). The violin panel should have sufficient rigidity to support the pressure of the strings and code. In order to facilitate the propagation of vibration, the piano board should cut as few wood fibers as possible, so it should be as thin as possible to make it easy to vibrate. If the piano board is flat, although the integrity of the wood fibers is maintained, the only way to have sufficient rigidity is to increase the thickness of the piano board because it is flat. The advantage of having intact fibers on the flat piano board is offset by the disadvantage of thicker piano boards. This type of piano board cannot achieve ideal vibration effects.
Although the flat piano board has strong longitudinal compression resistance and can withstand the tension of the strings, its transverse compression resistance is weak. Due to the strong pressure of the piano stem, it is easy for the middle of the piano board to collapse. The curved piano board, although cutting off some of the wood fibers, still maintains the integrity of most of the wood fibers. And due to its curvature, the piano board has good compressive strength in both horizontal and vertical directions, providing room for thinning the board and allowing for the removal of some wood inside to reduce the thickness of the board, making it more conducive to vibration without affecting its required stiffness.

Secondly, the distribution of radians also determines the distribution of seasonal lines during the vibration of the violin, thereby determining the variations in the sound of the violin, whether sweet or broad. The complex distribution of the curvature of the qin board also increases the uniformity of the sound column, producing richer homophones. The wood fibers of the piano board are cut into lengths that vary with the curvature. When these wood fibers vibrate, they have different frequencies, resulting in different vibration frequencies for each part of the piano board except for the overall vibration frequency. When playing a piece of music, the vibration frequencies of different parts will resonate with different pitches, resulting in richer homophones on the piano board and increasing the uniformity of the sound column. If the piano board is flat and the wood fibers are of the same length, it will have a very strong vibration base frequency. When the frequency pitch is reached, the piano board will be excited and resonate, making this sound louder than other sounds in the music and breaking the uniformity of the sound column.