Parametric Optimization of Violin Top Plates using Machine Learning
This work addresses the challenge of understanding and controlling vibrational behavior in violin construction, offering a new AI-based technique for violin makers, though it is incremental in applying existing ML methods to a specific domain.
The authors tackled the problem of optimizing violin top plate geometry for desired vibrational properties using a neural network to predict eigenfrequencies, enabling analysis of shape-response relationships and compensation strategies, with results providing a novel computational tool for violin makers.
We recently developed a neural network that receives as input the geometrical and mechanical parameters that define a violin top plate and gives as output its first ten eigenfrequencies computed in free boundary conditions. In this manuscript, we use the network to optimize several error functions, with the goal of analyzing the relationship between the eigenspectrum problem for violin top plates and their geometry. First, we focus on the violin outline. Given a vibratory feature, we find which is the best geometry of the plate to obtain it. Second, we investigate whether, from the vibrational point of view, a change in the outline shape can be compensated by one in the thickness distribution and vice versa. Finally, we analyze how to modify the violin shape to keep its response constant as its material properties vary. This is an original technique in musical acoustics, where artificial intelligence is not widely used yet. It allows us to both compute the vibrational behavior of an instrument from its geometry and optimize its shape for a given response. Furthermore, this method can be of great help to violin makers, who can thus easily understand the effects of the geometry changes in the violins they build, shedding light on one of the most relevant and, at the same time, less understood aspects of the construction process of musical instruments.