Eigenfrequency optimisation of free violin plates

We discuss how the modal response of violin plates changes as their shape varies. Starting with an accurate 3D scan top plate a historic violin, we develop parametric model that controls smooth shaping interior plate, while guaranteeing boundary is same original violin. This allows us to generate family tops whose can be smoothly controlled through various parameters are meaningful maker: from thickness in different areas location, angle, and dimensions bass bar. show interplay between affects eigenmodes frequencies nonlinear fashion. also that, depending on parameters, ratio fifth second eigenfrequencies set match used by celebrated makers Cremonese school. As parameterisation define readily understood makers, believe our findings have relevant impact making community, they steer geometric modifications balance free plates.